QED symmetries in real-time thermal field theory

Details QED symmetries in real-time thermal field theory QED symmetries in real-time thermal field theory

1996-08-06

arxiv.org/abs/hep-th/9608029v2

Phys.Rev. D55 (1997) 3859-3865

Physics

High Energy Physics

High Energy Physics - Theory

New version as it will appear in Phys RevD 19 pages, RevTex, 1figure

Scientific paper

10.1103/PhysRevD.55.3859

We study the discrete and gauge symmetries of Quantum Electrodynamics at finite temperature within the real-time formalism. The gauge invariance of the complete generating functional leads to the finite temperature Ward identities. These Ward identities relate the eight vertex functions to the elements of the self-energy matrix. Combining the relations obtained from the $Z_2$ and the gauge symmetries of the theory we find that only one out of eight longitudinal vertex functions is independent. As a consequence of the Ward identities it is shown that some elements of the vertex function are singular when the photon momentum goes to zero.

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