Perturbative vs Schwinger-propagator method for the calculation of amplitudes in a magnetic field
arXiv:hep-ph/0603024 · doi:10.1103/PhysRevD.73.105003
Abstract
We consider the calculation of amplitudes for processes that take place in a constant background magnetic field, first using the standard method for the calculation of an amplitude in an external field, and second utilizing the Schwinger propagator for charged particles in a magnetic field. We show that there are processes for which the Schwinger propagator method does not yield the total amplitude. We explain why the two methods yield equivalent results in some cases and indicate when we can expect the equivalence to hold. We show these results in fairly general terms and illustrate them with specific examples as well.
arXiv comment23 pages, LateX, uses axodraw.sty
References in corpus (21)
- General relativity as an effective field theory: The leading quantum corrections
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
- Quantum Corrections to the Schwarzschild and Kerr Metrics
- Factorization and polarization in linearized gravity
- Neutrino Dispersion in Magnetized Media and Spin Oscillations in the Early Universe
- Cherenkov radiation by massless neutrinos in a magnetic field
- Neutrino propagation in a medium with a magnetic field
- Faraday effect : a field theoretical point of view
- Neutrino self-energy and dispersion in a medium with magnetic field
- Effective Neutrino Photon Interaction in a Magnetized Medium
- Gravitational coupling of neutrinos in a medium
- The electromagnetic vertex of neutrinos in an electron background and a magnetic field
- Nucleon contribution to the induced charge of neutrinos in a matter background and a magnetic field
- Gravitational decay of the Z-boson
- Elementary Particle Interactions In A Background Magnetic Field
- The Axialvector-Vector Amplitude and Neutrino Effective Charge in a Magnetized Medium
- Z decay into two massless gauge bosons in a magnetic field
- Momentum-dependent contributions to the gravitational coupling of neutrinos in a medium
- Non-universal gravitational couplings of neutrinos in matter
- Factorization in processes of graviton scattering off electron for Z and W productions
Cited by in corpus (6)
- Generation of circular polarization of the CMB
- Electrical conductivity of quark matter at finite T under external magnetic field
- Shear viscosity of quark matter at finite temperature in magnetic fields
- Effect of external magnetic field on nucleon mass in hot and dense medium : Inverse Magnetic Catalysis in Walecka Model
- Chiral magnetic effect at low temperature
- Euler-Heisenberg Lagrangian to all orders in the magnetic field and the Chiral Magnetic Effect