Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals

Abstract

We investigate the usefulness of the "string-inspired technique" for gauge theory calculations in a constant external field background. Our approach is based on Strassler's worldline path integral approach to the Bern-Kosower formalism, and on the construction of worldline (super--) Green's functions incorporating external fields as well as internal propagators. The worldline path integral representation of the gluon loop is reexamined in detail. We calculate the two-loop effective actions induced for a constant external field by a scalar and spinor loop, and the corresponding one-loop effective action in the gluon loop case.

54 pages, no figures, Latex, uses dina4.sty, final version (minor corrections)

References in corpus (25)

• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• One-Loop Corrections to Five-Gluon Amplitudes
• On the Calculation of Effective Actions by String Methods
• String-Based Methods in Perturbative Gravity
• Worldline Green Functions for Multiloop Diagrams
• Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison With Previous Calculations
• String techniques for the calculation of renormalization constants in field theory
• Analytic results for the effective action
• 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
• Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings
• Worldline Path Integrals for Fermions with General Couplings
• Second Order Fermions in Gauge Theories
• On the string-inspired approach to QED in external field
• Loop calculations in quantum-mechanical non-linear sigma models
• Unknotting the polarized vacuum of quenched QED
• Propagators and Path Integrals
• The Higher Derivative Expansion of the Effective Action by the String-Inspired Method, Part I
• Axial Couplings on the World-Line
• Yukawa Couplings for the Spinning Particle and the World Line Formalism
• Bern-Kosower Rule for Scalar QED
• Multiloop String-Like Formulas for QED
• Relation between Worldline Green Functions for Scalar Two-Loop Diagrams
• Quantization of pseudoclassical model of spin one relativistic particle
• Proper Time Formalism, Gauge Invariance and the Effects of a Finite World Sheet Cutoff in String Theory

Cited by in corpus (153)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Worldline Instantons and Pair Production in Inhomogeneous Fields
• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• Worldline Instantons II: The Fluctuation Prefactor
• Theoretical and Experimental Status of Magnetic Monopoles
• Schwinger mechanism revisited
• Pair production in inhomogeneous fields
• Light propagation in non-trivial QED vacua
• Derivative Expansion of the Effective Action for QED in 2+1 and 3+1 dimensions
• Quantum effects with an X-ray free electron laser
• Worldline approach to vector and antisymmetric tensor fields
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
• Quantum diffusion of magnetic fields in a numerical worldline approach
• QED Effective Action at Finite Temperature: Two-Loop Dominance
• Color Reflection Invariance and Monopole Condensation in QCD
• Soft-Gluon Production Due to a Gluon Loop in a Constant Chromo-Electric Background Field
• Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes
• The Feynman-Schwinger representation in QCD
• Covariant technique of derivative expansion of one-loop effective action
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Faddeev-Niemi Conjecture and Effective Action of QCD
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• Particles with non abelian charges
• Effective Action - A Convergent Series - of QED
• Critical Schwinger pair production
• Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop ${\Phi }^3$ Theory
• On the low-energy limit of the QED N-photon amplitudes
• Effective Lagrangians and low energy photon-photon scattering
• One-particle reducible contribution to the one-loop spinor propagator in a constant field
• Low-energy dynamics in N = 2 super QED: Two-loop approximation
• Worldline path integral for the massive Dirac propagator : A four-dimensional approach
• Multiphoton amplitudes and generalized LKF transformation in Scalar QED
• Asymptotic dynamics on the worldline for spinning particles
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background
• Dressed scalar propagator in a non-abelian background from the worldline formalism
• Scalar heat kernel with boundary in the worldline formalism
• Monopole Condensation and Dimensional Transmutation in SU(2) QCD
• Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
• A covariant representation of the Ball-Chiu vertex
• Two-Loop Euler-Heisenberg QED Pair-Production Rate
• Quantum effective actions from nonperturbative worldline dynamics
• The visible effect of a very heavy magnetic monopole at colliders
• Einstein gravity from the $\mathbb{N}=4$ spinning particle
• Relativistic path integral and relativistic Hamiltonians in QCD and QED
• World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
• Direct and Indirect Searches for Low-Mass Magnetic Monopoles
• Dimensional Transmutation by Monopole Condensation in QCD
• Massive field contributions to the QCD vacuum tunneling amplitude
• Thermodynamic Gross-Neveu model under constant electromagnetic field
• Master formulas for the dressed scalar propagator in a constant field
• One-particle reducible contribution to the one-loop scalar propagator in a constant field
• 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
• Quantum Corrections to the QED Vacuum Energy
• Vacuum Polarization in QED with World-Line Methods
• Zero modes, beta functions and IR/UV interplay in higher-loop QED
• String-inspired representations of photon/gluon amplitudes
• Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED, part 1: Two-loop
• The effective action for gauge bosons
• Reducible contributions to quantum electrodynamics in external fields
• Electric-Magnetic Duality in QED Effective Action
• QCD gluon vertices from the string-inspired formalism
• Quark condensate for various heavy flavors
• The Euler-Heisenberg Lagrangian beyond one loop
• On the Best Quadratic Approximation in Feynman's Path Integral Treatment of the Polaron
• Finite temperature Schwinger pair production in coexistent electric and magnetic fields
• Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part II
• From effective actions to the background geometry
• Mixed symmetry Wilson-loop interactions in the worldline formalism
• The QED four-photon amplitudes off-shell: part 2
• The QED four -- photon amplitudes off-shell: part 1
• Stable Monopole-Antimonopole String Background in SU(2) QCD
• Two-loop Euler-Heisenberg effective actions from charged open strings
• Multiloop Information from the QED Effective Lagrangian
• Non-Perturbative Mass Renormalization in Quenched QED from the Worldline Variational Approach
• Casimir dependence of transverse distribution of pairs produced from a strong constant chromo-electric background field
• Compton-like scattering of a scalar particle with N photons and one graviton
• Supersymmetric Euler-Heisenberg effective action: Two-loop results
• QED Effective Action in Magnetic Field Backgrounds and Electromagnetic Duality
• Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering
• Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
• On the low-energy limit of the QED N-photon amplitudes: part 2
• Determinant Calculations Using Random Walk Worldline Loops
• Nonlinear dynamics of soft fermion excitations in hot QCD plasma III: Soft-quark bremsstrahlung and energy losses
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part III
• Master formulas for photon amplitudes in a combined constant and plane-wave background field
• Integral representations combining ladders and crossed-ladders
• QED as a many-body theory of worldlines: I. General formalism and infrared structure
• QED spectra in the path integral formalism
• $(\mathcal{F},\mathcal{G})$-summed form of the QED effective action
• Torsion as a dynamic degree of freedom of quantum gravity
• The worldline formalism in strong-field QED
• Two-Loop Vacuum Diagrams in Background Field and Heisenberg-Euler Effective Action
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• Nonperturbative Contributions to the Hot Electroweak Potential and the Crossover
• Effective Action in a General Chiral Model: Next to Leading Order Derivative Expansion in the Worldline Method
• Dressed Dirac Propagator from a Locally Supersymmetric $\mathcal{N}=1$ Spinning Particle
• Light Propagation Effects In QED: Effective Action Approach
• Pinched Gluon Vertex Operator in Super-Worldline Formalism
• Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory
• Perturbative Computation of the Gluonic Effective Action via Polyaokov's World-Line Path Integral
• Quantum stability of non-linear wave type solutions with intrinsic mass parameter in QCD
• Off-shell Ward identities for N-gluon amplitudes
• Testing Nonperturbative Ansaetze for the QCD Field Strength Correlator
• Photon-graviton mixing in an electromagnetic field
• Integral representations of thermodynamic 1PI Green functions in the world-line formalism
• Two-Loop Diagrammatics in a Self-Dual Background
• Worldline Approach to Forward and Fixed Angle fermion-fermion Scattering in Yang-Mills Theories at High Energies
• Pressure and interaction measure of the gluon plasma
• Birefringence and non-transversality of light propagation in an ultra-strongly magnetized vacuum
• Geometry of spin-field coupling on the worldline
• Supersymmetric Models For Gauge Inflation
• On the Yang-Mills two-loop effective action with wordline methods
• Proca Theory from the Spinning Worldline
• Multiphoton amplitudes and generalized LKF transformation in scalar QED using the worldline formalism
• Vacuum stabilized by anomalous magnetic moment
• Abelian Decomposition and Weyl Symmetric Effective Action of SU(3) QCD
• Resummed effective action in the world-line formalism
• Thermodynamics of a Photon Gas in Nonlinear Electrodynamics
• Closed-form weak-field expansion of two-loop Euler-Heisenberg Lagrangians
• $U(N)$ Yang-Mills in non-commutative space time
• The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields
• Pseudoclassical description of scalar particle in non-Abelian background and path-integral representations
• Spinning Particles in Quantum Mechanics and Quantum Field Theory
• Path Integrals in Quantum Physics
• Quantifying zigzag motion of quarks
• Study of QED singular properties for variable gyromagnetic ratio $g\simeq 2$
• A Cusp in QED at g=2
• Abelian Fock-Schwinger representation for the quark propagator in external gauge field
• Finding quantum effects in strong classical potentials
• Low-energy multi-photon scattering at tree-level and one-loop order in a homogeneous electromagnetic field
• QED Effective Actions in Space-Dependent Gauge and Electromagnetic Duality
• Path integral representation for inverse third order wave operator within the Duffin-Kemmer-Petiau formalism. I
• A space-time approach to multigluon computations in QCD: An application to effective action terms
• Studies of low-energy effective actions in supersymmetric field theories
• Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes
• A Comparative Study of NJL and Sakai-Sugimoto Models
• New tests and applications of the worldline path integral in the first order formalism
• Dimensional Regularization for the Particle Transition Amplitude in Curved Space
• Theoretical evidence for a tachyonic ghost state contribution to the gluon propagator in high energy, forward quark-quark `scattering'
• Worldlines on Orbifolds and the Fayet-Iliopoulos Term
• Induced Action for Conformal Higher Spins from Worldline Path Integrals
• Worldline approach to the Grosse-Wulkenhaar model
• World-line Green functions with momentum and source conservations
• A numerical algorithm for efficiently obtaining a Feynman parameter representation of one-gluon loop QCD Feynman diagrams for a large number of external gluons
• Stable spherically symmetric monopole field background in a pure QCD
• Photon emission in a constant magnetic field in 2+1 dimensional space-time
• Quantization of magnetic flux and electron-positron pair creation
• Worldline Path Integrals for Gauge Fields and Quantum Computing
• N-photon amplitudes in a plane-wave background
• Plane Wave Backgrounds in the Worldline Formalism