Renormalization group flows of the N-component Abelian Higgs model
High Energy Physics - Phenomenology
2017-10-04 v2
Abstract
Flows of the couplings of a theory of an N-component (complex) scalar field coupled to electrodynamics is investigated using the functional renormalization group formalism in d dimensions in covariant gauges. We find charged fixed points for any number of components in d=3, in accordance with the findings of [G. Fejos and T. Hatsuda, Phys. Rev. D 93, 121701 (2016)] for N=1. It is argued that the appropriate choice of the regulator matrix is indispensible to obtain such a result. Ward-Takahashi identites are analyzed in the presence of the regulator, and their compatibility with the flow equation is investigated in detail.
Keywords
Cite
@article{arxiv.1705.07333,
title = {Renormalization group flows of the N-component Abelian Higgs model},
author = {G. Fejos and T. Hatsuda},
journal= {arXiv preprint arXiv:1705.07333},
year = {2017}
}
Comments
14 pages, 3 figures, matches published version