73 citations · 465 across the 32 of their papers we have counts for
29 papers · 1 filter
Summing Feynman diagrams in the worldline formalism
Naser Ahmadiniaz, James P. Edwards, Cristhiam Lopez-Arcos +4
The worldline formalism shares with string theory the property that it allows one to write down master integrals that effectively combine the contributions of many Feynman diagrams…
One-loop Amplitudes in the Worldline Formalism
James P. Edwards, C. Moctezuma Mata, Christian Schubert
We summarize recent progress in applying the worldline formalism to the analytic calculation of one-loop N-point amplitudes. This string-inspired approach is well-adapted to avoidi…
Obtaining fully polarised amplitudes in gauge invariant form
Naser Ahmadiniaz, Victor Miguel Banda Guzman, Christian Schubert +3
We describe progress applying the \textit{Worldline Formalism} of quantum field theory to the fermion propagator dressed by -photons to study multi-linear Compton scattering pro…
Graviton scattering amplitudes in first quantisation
James P. Edwards
We give a pedagogical review to alternative, first quantised approaches to calculating graviton scattering amplitudes, giving an introduction to string inspired approaches and pres…
Plane Wave Backgrounds in the Worldline Formalism
James P. Edwards, Christian Schubert
Plane-wave backgrounds play a special role in strong-field QED as examples of a non-trivial field configuration that remains simple enough to be treated analytically whilst still l…
New Techniques for Worldline Integration
James P. Edwards, C. Moctezuma Mata, Uwe Müller +1
The worldline formalism provides an alternative to Feynman diagrams in the construction of amplitudes and effective actions that shares some of the superior properties of the organ…
Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes
Naser Ahmadiniaz, Victor Miguel Banda Guzman, Fiorenzo Bastianelli +3
In the first part of this series, we employed the second-order formalism and the ``symbol'' map to construct a particle path-integral representation of the electron propagator in a…
N-photon amplitudes in a plane-wave background
James P. Edwards, Christian Schubert
We use the worldline formalism to derive master formulas for the one-loop N-photon amplitudes in a plane-wave background, for both scalar and spinor QED. This generalises previous…
The Generalised LKF Transformations for Arbitrary -point Fermion Correlators
Naser Ahmadiniaz, James P. Edwards, José Nicasio +1
We examine the non-perturbative gauge dependence of arbitrary configuration space fermion correlators in quantum electrodynamics (QED). First, we study the dressed electron propaga…
Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics
José Nicasio, James P. Edwards, Christian Schubert +1
We study the transformation of the dressed electron propagator and the general -point functions under a change in the covariant gauge of internal photon propagators. We re-estab…
Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
Naser Ahmadiniaz, Victor Miguel Banda Guzman, Fiorenzo Bastianelli +3
In the first-quantised worldline approach to quantum field theory, a long-standing problem has been to extend this formalism to amplitudes involving open fermion lines while mainta…
Reducible contributions to the propagator and EHL in background fields
N. Ahmadiniaz, F. Bastianelli, O. Corradini +2
We briefly discuss the recent discovery of reducible contributions to QED effective actions due to the presence of external electromagnetic fields at tree level and higher loop-ord…
Quantum mechanical path integrals in the first quantised approach to quantum field theory
James P. Edwards, Christian Schubert
Perturbative quantum field theory usually uses second quantisation and Feynman diagrams. The worldline formalism provides an alternative approach based on first quantised particle…
Worldline formalism for a confined scalar field
Olindo Corradini, James P. Edwards, Idrish Huet +2
The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the fir…
Massless Rarita-Schwinger field from a divergenceless anti-symmetric-tensor spinor of pure spin-
James P. Edwards, Mariana Kirchbach
We construct the Rarita-Schwinger basis vectors, , spanning the direct product space, , of a massless four-vector, , with massless Majorana spinors,…
Reducible contributions to quantum electrodynamics in external fields
Naser Ahmadiniaz, James P. Edwards, Anton Ilderton
We consider one-particle reducible (1PR) contributions to QED and scalar QED processes in external fields, at one-loop and two-loop order. We investigate three cases in detail: con…
Yang-Mills in non-commutative space time
Naser Ahmadiniaz, Olindo Corradini, James P. Edwards +1
We present an approach to Yang-Mills theory in non-commutative space based upon a novel phase-space analysis of the dynamical fields with additional auxiliary variable…
On the low-energy limit of the QED N-photon amplitudes: part 2
James P. Edwards, Adolfo Huet, Christian Schubert
In recent work, Gies and Karbstein have discovered that the two-loop Euler-Heisenberg Lagrangians for scalar and spinor QED have non-vanishing reducible contributions in addition t…
Worldline colour fields and non-Abelian quantum field theory
James P. Edwards, Olindo Corradini
In the worldline approach to non-Abelian field theory the colour degrees of freedom of the coupling to the gauge potential can be incorporated using worldline "colour" fields. The…
One-particle reducible contribution to the one-loop scalar propagator in a constant field
James P. Edwards, Christian Schubert
Recently, Gies and Karbstein showed that the two-loop Euler-Heisenberg Lagrangian receives a finite one-particle reducible contribution in addition to the well-known one-particle i…
One-particle reducible contribution to the one-loop spinor propagator in a constant field
Naser Ahmadiniaz, Fiorenzo Bastianelli, Olindo Corradini +2
Extending work by Gies and Karbstein on the Euler-Heisenberg Lagrangian, it has recently been shown that the one-loop propagator of a charged scalar particle in a constant electrom…
Non-commutativity in polar coordinates
James P. Edwards
We reconsider the fundamental commutation relations for non-commutative described in polar coordinates with non-commutativity parameter . Previous analysis foun…
Mixed symmetry Wilson-loop interactions in the worldline formalism
James P. Edwards, Olindo Corradini
Using the worldline formalism of the Dirac field with a non-Abelian gauge symmetry we show how to describe the matter field transforming in an arbitrary representation of the gauge…
Mixed symmetry tensors in the worldline formalism
Olindo Corradini, James P. Edwards
We consider the first quantised approach to quantum field theory coupled to a non-Abelian gauge field. Representing the colour degrees of freedom with a single family of auxiliary…