Perturbative Quantum Field Theory in the String-Inspired Formalism

Abstract

We review the status and present range of applications of the ``string-inspired'' approach to perturbative quantum field theory. This formalism offers the possibility of computing effective actions and S-matrix elements in a way which is similar in spirit to string perturbation theory, and bypasses much of the apparatus of standard second-quantized field theory. Its development was initiated by Bern and Kosower, originally with the aim of simplifying the calculation of scattering amplitudes in quantum chromodynamics and quantum gravity. We give a short account of the original derivation of the Bern-Kosower rules from string theory. Strassler's alternative approach in terms of first-quantized particle path integrals is then used to generalize the formalism to more general field theories, and, in the abelian case, also to higher loop orders. A considerable number of sample calculations are presented in detail, with an emphasis on quantum electrodynamics.

183 pages, 26 figures, to appear in Physics Reports

References in corpus (93)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Dimensionally Regulated Pentagon Integrals
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• One-Loop Corrections to Five-Gluon Amplitudes
• Tachyon condensation in string field theory
• Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
• On the Calculation of Effective Actions by String Methods
• String-Based Methods in Perturbative Gravity
• Calculation of Graviton Scattering Amplitudes using String-Based Methods
• Worldline Green Functions for Multiloop Diagrams
• Reduction formalism for dimensionally regulated one-loop N-point integrals
• Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison With Previous Calculations
• Nonperturbative study of generalized ladder graphs in a ϕ^2χtheory
• Derivative Expansion of the Effective Action for QED in 2+1 and 3+1 dimensions
• Trace Anomalies from Quantum Mechanics
• A Closed Formula for the Riemann Normal Coordinate Expansion
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
• String techniques for the calculation of renormalization constants in field theory
• The Higher Derivative Expansion of the Effective Action by the String Inspired Method. Part II
• The Path Integral for a Particle in Curved Spaces and Weyl Anomalies
• Multiloop Calculations in the String-Inspired Formalism: The Single Spinor-Loop in QED
• One-Loop Tensor Integrals in Dimensional Regularisation
• Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings
• Photon Splitting in a Very Strong Magnetic Field
• QED Effective Action at Finite Temperature: Two-Loop Dominance
• Derivative Expansion for the One-Loop Effective Lagrangian in QED
• Worldline Path Integrals for Fermions with General Couplings
• Second Order Fermions in Gauge Theories
• Loop calculations in quantum-mechanical non-linear sigma models sigma models with fermions and applications to anomalies
• On the string-inspired approach to QED in external field
• Cherenkov radiation by massless neutrinos in a magnetic field
• Loop calculations in quantum-mechanical non-linear sigma models
• Unknotting the polarized vacuum of quenched QED
• The Two-Loop Euler-Heisenberg Lagrangian in Dimensional Renormalization
• Propagators and Path Integrals
• Light-cone Quantum Mechanics of the Eleven-dimensional Superparticle
• The Higher Derivative Expansion of the Effective Action by the String-Inspired Method, Part I
• Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop ${\Phi }^3$ Theory
• Multiloop World-Line Green Functions from String Theory
• Spin Factor in Path Integral Representation for Dirac Propagator in External Fields
• Yukawa Couplings for the Spinning Particle and the World Line Formalism
• Reparametrization Invariance of Path Integrals
• Two-loop scalar diagrams from string theory
• Axial Couplings on the World-Line
• Bern-Kosower Rule for Scalar QED
• Polaron Variational Methods In The Particle Representation Of Field Theory : I. General Formalism
• Two-Loop Euler-Heisenberg QED Pair-Production Rate
• Multiloop String-Like Formulas for QED
• Counterterms in type I Supergravities
• Mode regularization, time slicing, Weyl ordering and phase space path integrals for quantum mechanical nonlinear sigma models
• Dimensional regularization of nonlinear sigma models on a finite time interval
• World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
• Massive field contributions to the QCD vacuum tunneling amplitude
• Dimensional regularization of the path integral in curved space on an infinite time interval
• On Mode Regularization of the Configuration Space Path Integral in Curved Space
• Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action
• One-loop finite temperature effective action of QED in the worldline approach
• Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra
• Vacuum Polarization in QED with World-Line Methods
• Hidden Symmetries of Large N QCD
• Thermal Green's Functions from Quantum Mechanical Path Integrals
• A New Approach to Axial Vector Model Calculations II
• Scalar field theory limits of bosonic string amplitudes
• Multiloop ${\Phi }^3$ Amplitudes from Bosonic String Theory
• Consistent Off-Shell Tree String Amplitudes
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part II
• A New Approach to Axial Vector Model Calculations
• Wilson Loops, Winding modes, and Domain Walls in Finite Temperature QCD
• Axion Decay in a Constant Electromagnetic Background Field and at Finite Temperature using World-line Methods
• Thermal Green's Functions from Quantum Mechanical Path Integrals II: Inclusion of Fermions
• Spinor and Isospinor Structure of Relativistic Particle Propagators
• On the Normalization and Hermiticity of Amplitudes in 4D Heterotic Superstrings
• Extension of worldline computational algorithms for QCD to open fermionic contours
• Relation between Worldline Green Functions for Scalar Two-Loop Diagrams
• On the computation of one-loop amplitudes with external fermions in 4d heterotic superstrings
• Trace anomalies and the string-inspired definition of quantum-mechanical path integrals in curved space
• Relations between some analytic representations of one-loop scalar integrals
• Two-Loop ${\varphi }^4$-Diagrams from String Theory
• Axion in an External Electromagnetic Field
• Off-Diagonal Elements of the DeWitt Expansion from the Quantum Mechanical Path Integral
• Phase Transition and Absence Of Ghosts in Rigid QED
• Pinched Gluon Vertex Operator in Super-Worldline Formalism
• Sphaleron Effects Near the Critical Temperature
• The $\nu \nu \gamma$ Amplitude in an External Homogeneous Electromagnetic Field
• Integral representations of thermodynamic 1PI Green functions in the world-line formalism
• Testing Nonperturbative Ansaetze for the QCD Field Strength Correlator
• Off-mass-shell Sudakov-like suppression factor for the fermionic four-point function in QCD
• Numerical simulation of random paths with a curvature dependent action
• Particle Hamiltonian and Perturbative Gauge Theories
• World-line Green functions with momentum and source conservations

Cited by in corpus (307)

• Advances in QED with intense background fields
• Worldline Instantons and Pair Production in Inhomogeneous Fields
• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• Classical black hole scattering from a worldline quantum field theory
• Worldline Instantons II: The Fluctuation Prefactor
• Casimir Effect on the Worldline
• New Strong-Field QED Effects at ELI: Nonperturbative Vacuum Pair Production
• Perturbative Quantum Gravity and its Relation to Gauge Theory
• Casimir effect for curved geometries: PFA validity limits
• Schwinger mechanism revisited
• Worldline algorithms for Casimir configurations
• Pair production in inhomogeneous fields
• Approaches to the sign problem in lattice field theory
• From Free Fields to $AdS$
• SUSY in the Sky with Gravitons
• Casimir edge effects
• Improved Approximations for Fermion Pair Production in Inhomogeneous Electric Fields
• The Heisenberg-Euler Effective Action: 75 years on
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• Worldline formalism in a gravitational background
• From Free Fields to $AdS$ -- III
• Recursive Calculation of One-Loop QCD Integral Coefficients
• The Refractive Index of Curved Spacetime: the Fate of Causality in QED
• Algebraic evaluation of rational polynomials in one-loop amplitudes
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• Worldline approach to vector and antisymmetric tensor fields
• Complex Worldline Instantons and Quantum Interference in Vacuum Pair Production
• Deeply inelastic scattering structure functions on a hybrid quantum computer
• World-line construction of a covariant chiral kinetic theory
• Multidimensional Worldline Instantons
• Extreme matter in electromagnetic fields and rotation
• Quantum mechanics: Myths and facts
• Radiation reaction from QED: lightfront perturbation theory in a plane wave background
• Causality and Micro-Causality in Curved Spacetime
• From Free Fields to AdS -- II
• Dimensional regularization for N=1 susy sigma models and the worldline formalism
• Tropical Amplitudes
• Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes
• Dynamically assisted Sauter-Schwinger effect - non-perturbative versus perturbative aspects
• Electron-Positron Pair Production in Space- or Time-Dependent Electric Fields
• BCJ duality and double copy in the closed string sector
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Worldgraph Approach to Yang-Mills Amplitudes from N=2 Spinning Particle
• Loops on the Celestial Sphere
• A prescription for projectors to compute helicity amplitudes in D dimensions
• Uniformly Accelerated Charge in a Quantum Field: From Radiation Reaction to Unruh Effect
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• Constructing phase space distributions with internal symmetries
• Particles with non abelian charges
• Superpositions of Probability Distributions
• Simplicity in the Structure of QED and Gravity Amplitudes
• Reggeon exchange from AdS/CFT
• Critical Schwinger pair production
• Sauter-Schwinger pair creation dynamically assisted by a plane wave
• Fermion-induced quantum action of vortex systems
• Superstatistics approach to path integral for a relativistic particle
• The role of the chiral anomaly in polarized deeply inelastic scattering I: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics
• On the Background Field Method Beyond One Loop: A manifestly covariant derivative expansion in super Yang-Mills theories
• One-particle reducible contribution to the one-loop spinor propagator in a constant field
• Detours and Paths: BRST Complexes and Worldline Formalism
• Light bending from eikonal in worldline quantum field theory
• Systematics of the ${\alpha }^{\prime }$ Expansion in F-Theory
• Effective action for higher spin fields on (A)dS backgrounds
• Gutzwiller's Trace Formula and Vacuum Pair Production
• BRST treatment of zero modes for the worldline formalism in curved space
• Multiphoton amplitudes and generalized LKF transformation in Scalar QED
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Asymptotic dynamics on the worldline for spinning particles
• Towards understanding structure of the monopole clusters
• Scalar heat kernel with boundary in the worldline formalism
• Dressed scalar propagator in a non-abelian background from the worldline formalism
• Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background
• Discrete worldline instantons
• Quantum energies with worldline numerics
• Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
• Super-Chern-Simons Theory as Superstring Theory
• A covariant representation of the Ball-Chiu vertex
• Quantum effective actions from nonperturbative worldline dynamics
• The role of the chiral anomaly in polarized deeply inelastic scattering II: Topological screening and transitions from emergent axion-like dynamics
• A curvature bound from gravitational catalysis
• Einstein gravity from the $\mathbb{N}=4$ spinning particle
• Resurgence of the large-charge expansion
• Interplay between geometry and temperature for inclined Casimir plates
• Vacuum polarization tensor in inhomogeneous magnetic fields
• Doubly assisted Sauter-Schwinger effect
• One-loop monodromy relations on single cuts
• Master formulas for the dressed scalar propagator in a constant field
• Exactly solvable cases in QED with t-electric potential steps
• One loop photon-graviton mixing in an electromagnetic field: Part 2
• One-particle reducible contribution to the one-loop scalar propagator in a constant field
• Quantum and classical fluctuation theorems from a decoherent histories, open-system analysis
• Complex geodesics in de Sitter space
• Loop amplitudes monodromy relations and color-kinematics duality
• One-loop vertex correction in a plane wave
• Nonlocal gravity with worldline inversion symmetry
• Prefactor in the dynamically assisted Sauter-Schwinger effect
• Tsallis thermostatics as a statistical physics of random chains
• Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models
• Vacuum instability in slowly varying electric fields
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• Worldline Formalism in Snyder Spaces
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Extended SUSY quantum mechanics: transition amplitudes and path integrals
• Massless interacting particles
• Schwinger Pair Production at Finite Temperature
• Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes
• Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED, part 1: Two-loop
• 6D trace anomalies from quantum mechanical path integrals
• String-inspired representations of photon/gluon amplitudes
• Special Relativity induced by Granular Space
• Classical off-shell currents
• Worldline approach to quantum field theories on flat manifolds with boundaries
• One-loop off-shell amplitudes from classical equations of motion
• Optical probes of the quantum vacuum: The photon polarization tensor in external fields
• Semiclassical pair production rate for time-dependent electrical fields with more than one component: -WKB-approach and world-line instantons
• Interactions of Particles with "Continuous Spin" Fields
• Geothermal Casimir phenomena for the sphere-plate and cylinder-plate configurations
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Worldline Monte Carlo for fermion models at large N_f
• The worldline approach to helicity flip in plane waves
• Binary Dynamics from Worldline QFT for Scalar-QED
• Reducible contributions to quantum electrodynamics in external fields
• UV Completion on the Worldline
• Worldline holographic Schwinger effect
• Delta-function Interactions for the Bosonic and Spinning Strings and the Generation of Abelian Gauge Theory
• External Fields as a Probe for Fundamental Physics
• Worldline instantons for nonlinear Breit-Wheeler pair production and Compton scattering
• Eleven dimensional supergravity in light cone gauge
• QCD gluon vertices from the string-inspired formalism
• Improved ring potential of QED at finite temperature and in the presence of weak and strong magnetic field
• Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions
• Color-kinematics duality from the Bern-Kosower formalism
• The Euler-Heisenberg Lagrangian beyond one loop
• Quark condensate for various heavy flavors
• Lightlike contours with fermions
• Local BCJ numerators for ten-dimensional SYM at one loop
• Finite temperature Schwinger pair production in coexistent electric and magnetic fields
• Spatially Assisted Schwinger Mechanism and Magnetic Catalysis
• Perturbative methods for assisted nonperturbative pair production
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• Worldline instantons for the momentum spectrum of Schwinger pair production in space-time dependent fields
• Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part
• QED as the tensionless limit of the spinning string with contact interaction
• Fat Euclidean Gravity with Small Cosmological Constant
• Baby Universes and Worldline Field Theories
• Heat kernel expansion in the covariant perturbation theory
• Tunneling of the 3rd kind
• Mixed symmetry Wilson-loop interactions in the worldline formalism
• The QED four-photon amplitudes off-shell: part 2
• Worldline description of a bi-adjoint scalar and the zeroth copy
• The QED four -- photon amplitudes off-shell: part 1
• Two-loop Euler-Heisenberg effective actions from charged open strings
• Structure functions at small x from world-lines. I: Unpolarized distributions
• Renormalization of the QED of second order spin 1/2 fermions
• Geothermal Casimir Phenomena
• Derivative expansion of the heat kernel at finite temperature
• Vacuum pair-production in a classical electric field and an electromagnetic wave
• Propagator from Nonperturbative Worldline Dynamics
• Compton-like scattering of a scalar particle with N photons and one graviton
• Noncommutative U(1) gauge theory from a worldline perspective
• Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal
• Unified theory in the worldline approach
• Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
• QED Effective Action in Magnetic Field Backgrounds and Electromagnetic Duality
• A compact representation of the 2 photon 3 gluon amplitude
• Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering
• Hadrons on the worldline, holography, and Wilson flow
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Renormalization of the QED of self-interacting second order spin 1/2 fermions
• Long Range, Large Charge, Large $N$
• Effective action for delta potentials: spacetime-dependent inhomogeneities and Casimir self-energy
• Quantum mechanical path integrals in curved spaces and the type-A trace anomaly
• Gauge-invariant coefficients in perturbative quantum gravity
• Strings, world-sheet covariant quantization and Bohmian mechanics
• QED as a many-body theory of worldlines: I. General formalism and infrared structure
• Integral representations combining ladders and crossed-ladders
• Master formulas for photon amplitudes in a combined constant and plane-wave background field
• Light-by-Light Scattering in the Presence of Magnetic Fields
• Effective field theory of magnon: Dynamics in chiral magnets and Schwinger mechanism
• Local Neumann semitransparent layers: resummation, pair production and duality
• Numerical Analysis of some Generalized Casimir Pistons
• The worldline formalism in strong-field QED
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• Spacetime quantum and classical mechanics with dynamical foliation
• New Techniques for Worldline Integration
• Path integrals in curved space and the worldline formalism
• The Fermion Content of the Standard Model
• Quantum tunnelling from vacuum in multidimensions
• Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons
• The analytic structure of the fixed charge expansion
• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• Dressed Dirac Propagator from a Locally Supersymmetric $\mathcal{N}=1$ Spinning Particle
• Snyder-de Sitter meets the Grosse-Wulkenhaar model
• Integral transforms of the quantum mechanical path integral: hit function and path averaged potential
• Contact interactions between particle worldlines
• Energy-momentum tensors with worldline numerics
• Superconductivity in Mutual Chern-Simons Gauge Theory
• Semiclassical Estimates of Electromagnetic Casimir Self-Energies of Spherical and Cylindrical Metallic Shells
• Foundations of a spacetime path formalism for relativistic quantum mechanics
• Tests and applications of Migdal's particle path-integral representation for the Dirac Propagator
• Path Integrals from Spacetime Quantum Actions
• Heavy-quark condensate at zero- and nonzero temperatures for various forms of the short-distance potential
• Two-Loop Diagrammatics in a Self-Dual Background
• Non-perturbative Quantum Propagators in Bounded Spaces
• Pressure and interaction measure of the gluon plasma
• Off-shell Ward identities for N-gluon amplitudes
• The fifth dimension in the worldline formalism, holography, and the Wilson flow
• Field redefinition invariant Lagrange multiplier formalism
• Photon-graviton mixing in an electromagnetic field
• A study of neutral particle decay in magnetic field with the "Worldline Instanton" approach
• Scalar Field with Robin Boundary Conditions in the Worldline Formalism
• Geometry of spin-field coupling on the worldline
• Path-integral approach to the Wigner-Kirkwood expansion
• Path Integral on Star Graph
• Fractional Effective Action at strong electromagnetic fields
• Renormalization of the second-order QCD with arbitrary chromomagnetic factor and quark self-interactions
• Worldline colour fields and non-Abelian quantum field theory
• "Background Field Integration-by-Parts" and the Connection Between One-Loop and Two-Loop Heisenberg-Euler Effective Actions
• Mixed heavy-quark-gluon condensate in the stochastic vacuum model and dual superconductor
• Proca Theory from the Spinning Worldline
• On the Yang-Mills two-loop effective action with wordline methods
• Worldline approach for spinor fields in manifolds with boundaries
• Lectures in Quantum Gravity
• Euclidean mirrors: enhanced vacuum decay from reflected instantons
• Worldline formalism for a confined scalar field
• Supergravity limit of genus two modular graph functions in the worldline formalism
• Multiphoton amplitudes and generalized LKF transformation in scalar QED using the worldline formalism
• Applications of the worldline Monte Carlo formalism in quantum mechanics
• Schwinger pair production in spacetime fields: Moiré patterns, Aharonov-Bohm phases and Sturm-Liouville eigenvalues
• Full mass range analysis of the QED effective action for an O(2)xO(3) symmetric field
• Perturbatively Defined Effective Classical Potential in Curved Space
• Resummed effective action in the world-line formalism
• Casimir Forces via Worldline Numerics: Method Improvements and Potential Engineering Applications
• $U(N)$ Yang-Mills in non-commutative space time
• Closed-form weak-field expansion of two-loop Euler-Heisenberg Lagrangians
• Simplified path integral for supersymmetric quantum mechanics and type-A trace anomalies
• One-loop Amplitudes in the Worldline Formalism
• Spin fields for the spinning particle
• Field redefinition invariant Lagrange multiplier formalism with gauge symmetries
• Spinning Particles in Quantum Mechanics and Quantum Field Theory
• Introductory Lectures on Resurgence: CERN Summer School 2024
• Worldline approach for numerical computation of electromagnetic Casimir energies. I. Scalar field coupled to magnetodielectric media
• A Monte Carlo Approach to the Worldline Formalism in Curved Space
• QED as a many-body theory of worldlines: II. All-order S-matrix formalism
• Path integral calculation of heat kernel traces with first order operator insertions
• One-loop $N$-point correlators in pure gravity
• Dynamically Assisted Schwinger Effect at Strong Coupling with Its Holographic Extension
• Chiral symmetry breaking in confining theories and asymptotic limits of operator product expansion
• Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop
• Renyi information from entropic effects in one higher dimension
• Concerning gauge field fluctuations around classical configurations
• Ellipticity induced in vacuum birefringence
• Electric Field Decay Without Pair Production: Lattice, Bosonization and Novel Worldline Instantons
• Path Integrals in Quantum Physics
• Photon-Graviton Amplitudes from the Effective Action
• Quantifying zigzag motion of quarks
• Generating Functional for Gauge Invariant Actions: Examples of Nonrelativistic Gauge Theories
• Low-energy multi-photon scattering at tree-level and one-loop order in a homogeneous electromagnetic field
• Spirals, vortices, and helicity entanglements in dynamical Sauter-Schwinger pair creation
• On the simplified path integral on spheres
• Entanglement entropy of dispersive media from thermodynamic entropy in one higher dimension
• QED Effective Actions in Space-Dependent Gauge and Electromagnetic Duality
• On invariants for particle propagation in non-Abelian fields
• Holographic Description of Noncommutative Schwinger Effect
• Effective electromagnetic Lagrangians in the derivative expansion method
• Landau's Last Paper and its Impact on Developments in Mathematics, Physics and Other Disciplines in New Millennium
• Soft gluon resummation in the quark-vector boson vertex at high energy: On-mass-shell case
• Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics
• Hawking Radiation via Complex Geodesics
• Entanglement, violation of Kramers-Kronig relation and curvature in spacetime
• Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes
• An SLE approach to four dimensional black hole microstate entropy
• Monte Carlo generation of localised particle trajectories
• On kinetic theories with color and spin from amplitudes
• Statistics, Condensation and the Anderson-Higgs Mechanism: The Worldline Path Integral View
• Angular Momentum Inheritance from the Schwinger Effect in (Chromo)electromagnetic Fields
• On the Landau Ginzburg theory of MAG projected SU(2) lattice gauge theory
• A Comparative Study of NJL and Sakai-Sugimoto Models
• Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian
• Generalized LKF transformations for $N$-point fermion correlators in QED
• AdS/CFT correspondence via R-current correlation functions revisited
• Dimensional Regularization for the Particle Transition Amplitude in Curved Space
• Quantum Interactions of Topological Solitons from Electrodynamics
• Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
• Second-order pseudo-Hermitian spin-$1/2$ bosons
• Computational quantum field theory for fermion pair creation in 2-dimensional curved spacetimes
• In-in worldline formalism in pair creating fields
• Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications
• Semiclassical treatment of pair creation in de Sitter space
• Geodesic deviation to all orders via a tangent bundle formalism
• Chiral Symmetry and Meson Vertex Operators in QCD Strings
• A numerical algorithm for efficiently obtaining a Feynman parameter representation of one-gluon loop QCD Feynman diagrams for a large number of external gluons
• Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations
• Dynamical Casimir effect in the worldline formulation
• Schwinger Type Pair Production in Non-SUSY AdS/CFT
• A non-lorentzian primer
• Plane Wave Backgrounds in the Worldline Formalism
• N-photon amplitudes in a plane-wave background
• Worldline Path Integrals for Gauge Fields and Quantum Computing
• Fermions in worldline holography
• Cylinder quantum field theories at small coupling
• Pair Production in Real Proper Time and Unitarity Without Borel Ambiguity
• Two-loop Yang-Mills diagrams from superstring amplitudes
• QED effective action for an O(2)xO(3) symmetric field in the full mass range
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands
• Exact Green's function for fermions in an external Yang-Mills gauge field
• The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables