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arXiv · 1705.07333

Renormalization group flows of the N-component Abelian Higgs model

G. Fejos·T. Hatsuda
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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.

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G. Fejos, T. Hatsuda. 2017-09-26. Renormalization group flows of the N-component Abelian Higgs model. https://doi.org/10.1103/physrevd.96.056018

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