Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison With Previous Calculations

Abstract

We recalculate the amplitude for photon splitting in a strong magnetic field below the pair production threshold, using the worldline path integral variant of the Bern--Kosower formalism. Numerical comparison (using programs that we have made available for public access on the Internet) shows that the results of the recalculation are identical to the earlier calculations of Adler and later of Stoneham, and to the recent recalculation by Baier, Milstein, and Shaisultanov.

Revtex, 9 pages, no figures

References in corpus (2)

• Photon Splitting in a Very Strong Magnetic Field
• PHOTON SPLITTING IN STRONGLY MAGNETIZED COSMIC OBJECTS -- REVISITED

Cited by in corpus (80)

• Nonlinear collective effects in photon-photon and photon-plasma interactions
• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Worldline Instantons and Pair Production in Inhomogeneous Fields
• New Strong-Field QED Effects at ELI: Nonperturbative Vacuum Pair Production
• Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
• Magnetic and electric properties of quantum vacuum
• Photon Splitting and Pair Creation in Highly Magnetized Pulsars
• The Heisenberg-Euler Effective Action: 75 years on
• An Addendum to the Heisenberg-Euler effective action beyond one loop
• The weak-field expansion for processes in a homogeneous background magnetic field
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
• The Higher Derivative Expansion of the Effective Action by the String Inspired Method. Part II
• Probing vacuum polarization effects with high-intensity lasers
• Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes
• Probing vacuum birefringence using x-ray free electron and optical high-intensity lasers
• Cherenkov radiation by massless neutrinos in a magnetic field
• Dynamically assisted Sauter-Schwinger effect - non-perturbative versus perturbative aspects
• Photon-photon scattering at the high-intensity frontier
• The Two-Loop Euler-Heisenberg Lagrangian in Dimensional Renormalization
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Expanding Nuclear Physics Horizons with the Gamma Factory
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• Nonlinear electromagnetic response in quark-gluon plasma
• One-particle reducible contribution to the one-loop spinor propagator in a constant field
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Photonic processes in Born-Infeld theory
• Multiphoton amplitudes and generalized LKF transformation in Scalar QED
• 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
• Photon merging and splitting in electromagnetic field inhomogeneities
• Magnetic Photon Splitting: Computations of Proper-time Rates and Spectra
• 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
• Scharnhorst effect at oblique incidence
• Photon splitting above the pair creation threshold in a strong magnetic field
• One-loop finite temperature effective action of QED in the worldline approach
• QED with external field: Hamiltonian treatment for anisotropic medium formed by the Lorentz-non-invariant vacuum
• Vacuum Polarization in QED with World-Line Methods
• String-inspired representations of photon/gluon amplitudes
• Thermally induced photon splitting
• On the Heisenberg limit for detecting vacuum birefringence
• The worldline approach to helicity flip in plane waves
• Photon splitting in strong magnetic fields: asymptotic approximation formulae vs. accurate numerical results
• Formation of Millisecond Pulsars from Accretion Induced Collapse and Constraints on Pulsar Gamma Ray Burst Models
• Finite temperature Schwinger pair production in coexistent electric and magnetic fields
• Magnetic response to applied electrostatic field in external magnetic field
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part II
• Zeta Function Regularization of Photon Polarization Tensor for a Magnetized Vacuum
• Photon splitting and Compton scattering in strongly magnetized hot plasma
• On the observability of field-assisted birefringent Delbrück scattering
• Compton-like scattering of a scalar particle with N photons and one graviton
• Lorentz-violating Euler-Heisenberg effective action
• Master formulas for photon amplitudes in a combined constant and plane-wave background field
• Axion in an External Electromagnetic Field
• Spectra of Particles from Laser-Induced Vacuum Decay
• Magnetic Photon Splitting: the S-Matrix Formulation in the Landau Representation
• The worldline formalism in strong-field QED
• Geometry of ultraperipheral nuclear collisions
• Dressed Dirac Propagator from a Locally Supersymmetric $\mathcal{N}=1$ Spinning Particle
• Electromagnetic Catalysis of the Radiative Decay of the Axion
• The Study of Relatively Low Density Stellar Matter in Presence of Strong Quantizing Magnetic Field
• Traveling Waves in the Euler-Heisenberg Electrodynamics
• Non-Equilibrium Quantum Field Theory and Entangled Commutation Relations
• Photon-graviton mixing in an electromagnetic field
• Two-beam laser photon merging
• The PVLAS experiment: a 25 year effort to measure vacuum magnetic birefringence
• QCD Corrections to QED Vacuum Polarization
• Spinning Particles in Quantum Mechanics and Quantum Field Theory
• Matter-induced vertices for photon splitting in a weakly magnetized plasma
• Photon-Neutrino Interactions in Magnetic Field through Neutrino Magnetic Moment
• 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
• Photon splitting cascades and a new statistics
• Criticality and dominance of axion physics in highly magnetized vacuum
• Photon emission in a constant magnetic field in 2+1 dimensional space-time
• N-photon amplitudes in a plane-wave background
• Axion Electrodynamics in Strong Magnetic Backgrounds
• Plane Wave Backgrounds in the Worldline Formalism