On the string-inspired approach to QED in external field

Abstract

Strassler's formulation of the string-derived Bern-Kosower formalism is extended to consider QED processes in homogeneous constant external field. A compact expression for the contribution of the one-loop with arbitrary number of external photon lines is given for scalar QED. Extension to spinor QED is shortly discussed.

14 pages,Revtex,no figures

References in corpus (4)

• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• On the Calculation of Effective Actions by String Methods
• Worldline Green Functions for Multiloop Diagrams
• Multiloop String-Like Formulas for QED

Cited by in corpus (44)

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• Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
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• Quantum diffusion of magnetic fields in a numerical worldline approach
• Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes
• Dynamically assisted Sauter-Schwinger effect - non-perturbative versus perturbative aspects
• The Two-Loop Euler-Heisenberg Lagrangian in Dimensional Renormalization
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• One-particle reducible contribution to the one-loop spinor propagator in a constant field
• Multiphoton amplitudes and generalized LKF transformation in Scalar QED
• Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background
• Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
• Quantum effective actions from nonperturbative worldline dynamics
• World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
• 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
• Calculation of 1-loop Hexagon Amplitudes in the Yukawa Model
• Vacuum Polarization in QED with World-Line Methods
• String-inspired representations of photon/gluon amplitudes
• The worldline approach to helicity flip in plane waves
• Reducible contributions to quantum electrodynamics in external fields
• Worldline instantons for nonlinear Breit-Wheeler pair production and Compton scattering
• The Euler-Heisenberg Lagrangian beyond one loop
• Finite temperature Schwinger pair production in coexistent electric and magnetic fields
• Perturbative methods for assisted nonperturbative pair production
• Multiloop ${\Phi }^3$ Amplitudes from Bosonic String Theory
• Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part II
• The QED four-photon amplitudes off-shell: part 2
• The QED four -- photon amplitudes off-shell: part 1
• Master formulas for photon amplitudes in a combined constant and plane-wave background field
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part III
• The worldline formalism in strong-field QED
• Pinched Gluon Vertex Operator in Super-Worldline Formalism
• Dressed Dirac Propagator from a Locally Supersymmetric $\mathcal{N}=1$ Spinning Particle
• Photon-graviton mixing in an electromagnetic field
• Geometry of spin-field coupling on the worldline
• Low-energy multi-photon scattering at tree-level and one-loop order in a homogeneous electromagnetic field
• Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes
• Dimensional Regularization for the Particle Transition Amplitude in Curved Space
• N-photon amplitudes in a plane-wave background
• Plane Wave Backgrounds in the Worldline Formalism
• Photon emission in a constant magnetic field in 2+1 dimensional space-time