Practical corollaries of transverse Ward-Green-Takahashi identities
Abstract
The gauge principle is fundamental in formulating the Standard Model. Fermion--gauge-boson couplings are the inescapable consequence and the primary determining factor for observable phenomena. Vertices describing such couplings are simple in perturbation theory and yet the existence of strong-interaction bound-states guarantees that many phenomena within the Model are nonperturbative. It is therefore crucial to understand how dynamics dresses the vertices and thereby fundamentally alters the appearance of fermion--gauge-boson interactions. We consider the coupling of a dressed-fermion to an Abelian gauge boson, and describe a unified treatment and solution of the familiar longitudinal Ward-Green-Takahashi identity and its less well known transverse counterparts. Novel consequences for the dressed-fermion--gauge-boson vertex are exposed.
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Cite
@article{arxiv.1302.3276,
title = {Practical corollaries of transverse Ward-Green-Takahashi identities},
author = {Si-xue Qin and Lei Chang and Yu-xin Liu and Craig D. Roberts and Sebastian M. Schmidt},
journal= {arXiv preprint arXiv:1302.3276},
year = {2013}
}
Comments
5 pages, 1 figure