Ward-Takahashi Identity with External Field in Ladder QED

Details Ward-Takahashi Identity with External Field in Ladder QED Ward-Takahashi Identity with External Field in Ladder QED

1998-03-26

arxiv.org/abs/hep-th/9803226v3

Phys.Rev. D58 (1998) 065008

Physics

High Energy Physics

High Energy Physics - Theory

new references(refs.10,11) added, 18 pages, Latex

Scientific paper

10.1103/PhysRevD.58.065008

We derive the Ward-Takahashi identity obeyed by the fermion-antifermion-gauge boson vertex in ladder QED in the presence of a constant magnetic field. The general structure in momentum space of the fermion mass operator with external electromagnetic field is discussed. Using it we find the solutions of the ladder WT identity with magnetic field. The consistency of our results with the solutions of the corresponding Schwinger-Dyson equation ensures the gauge invariance of the magnetic field induced chiral symmetry breaking recently found in ladder QED.

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