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Main Authors: Bonati, Claudio, Francini, Niccolò
Format: Preprint
Published: 2022
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Online Access:https://arxiv.org/abs/2211.03590
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author Bonati, Claudio
Francini, Niccolò
author_facet Bonati, Claudio
Francini, Niccolò
contents We study the phase diagram and phase transitions of the three dimensional multicomponent lattice Higgs model with non-compact Abelian discrete groups. The model with non-compact U(1) gauge group is known to undergo, for a sufficiently large number of scalar fields $N$, a continuous transition associated to the charged fixed point of the continuous Abelian Higgs field theory. We show that in the model with gauge group $\mathbb{Z}_q^{(nc)}\equiv 2π\mathbb{Z}/q$ only critical transitions in the orthogonal universality classes are present for small values of $N$, while a symmetry enlargement to the continuous Abelian Higgs universality class happens when $q\ge 5$ and $N$ is large enough.
format Preprint
id arxiv_https___arxiv_org_abs_2211_03590
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
Bonati, Claudio
Francini, Niccolò
High Energy Physics - Lattice
Statistical Mechanics
We study the phase diagram and phase transitions of the three dimensional multicomponent lattice Higgs model with non-compact Abelian discrete groups. The model with non-compact U(1) gauge group is known to undergo, for a sufficiently large number of scalar fields $N$, a continuous transition associated to the charged fixed point of the continuous Abelian Higgs field theory. We show that in the model with gauge group $\mathbb{Z}_q^{(nc)}\equiv 2π\mathbb{Z}/q$ only critical transitions in the orthogonal universality classes are present for small values of $N$, while a symmetry enlargement to the continuous Abelian Higgs universality class happens when $q\ge 5$ and $N$ is large enough.
title Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
topic High Energy Physics - Lattice
Statistical Mechanics
url https://arxiv.org/abs/2211.03590