Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem

Details Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem

1996-03-19

arxiv.org/abs/hep-ph/9603341v2

Phys.Rev. D54 (1996) 4499-4514

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, latex, complete ps-file available via anonymous ftp from ftp://ftp.physik.uni-wuerzburg.de/pub/preprint/1996/WUE-ITP

Scientific paper

10.1103/PhysRevD.54.4499

In contrast to the conventional treatment of gauge theories, in the background-field method the Ward identities for connected Green functions are not violated by Dyson summation of self-energies in finite orders of perturbation theory. Thus, Dyson summation does not spoil gauge cancelations at high energies which are ruled by the Goldstone-boson equivalence theorem. Moreover, in the background-field method the precise formulation of the equivalence theorem in higher orders (including questions of renormalization) is simplified rendering actual calculations easier. Finally, the equivalence theorem is also formulated for the Standard Model with a non-linearly realized scalar sector and for the gauged non-linear $\sigma$-model.

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