The background-field formulation of the electroweak Standard Model

Details The background-field formulation of the electroweak Standard Model The background-field formulation of the electroweak Standard Model

1996-09-20

arxiv.org/abs/hep-ph/9609422v1

Acta Phys.Polon.B27:3645-3660,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, LaTeX, no figures. Lecture given by G. Weiglein at the XXXVI Cracow School of Theoretical Physics, Zakopane, Poland,

Scientific paper

The application of the background-field method to the electroweak Standard Model and its virtues are reviewed. Special emphasis is directed to the Ward identities that follow from the gauge invariance of the background-field effective action. They are compatible with on-shell renormalization and imply a decent behavior of the background-field vertex functions. Via the usual construction of connected Green functions they transfer to Ward identities for connected Green functions which, in distinction to the conventional formalism, remain exactly valid in finite orders of perturbation theory even if a Dyson summation of self-energies (within a systematic use of one-particle irreducible building blocks) is performed. Finally, we comment on the interplay between gauge invariance and gauge-parameter (in-)dependence of vertex and Green functions and the uniqueness of resummation procedures.

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