Perturbative vs Schwinger-propagator method for the calculation of amplitudes in a magnetic field

Details Perturbative vs Schwinger-propagator method for the calculation of amplitudes in a magnetic field Perturbative vs Schwinger-propagator method for the calculation of amplitudes in a magnetic field

2006-03-03

arxiv.org/abs/hep-ph/0603024v1

Phys.Rev. D73 (2006) 105003

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, LateX, uses axodraw.sty

Scientific paper

10.1103/PhysRevD.73.105003

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.

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