Tricriticality in 4D U(1) Lattice Gauge Theory

Fuente: arXiv
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Autori principali: Torres, Rafael C., Cardoso, Nuno, Bicudo, Pedro, Ribeiro, Pedro, McClarty, Paul
Natura: Preprint
Pubblicazione: 2024
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author Torres, Rafael C.
Cardoso, Nuno
Bicudo, Pedro
Ribeiro, Pedro
McClarty, Paul
author_facet Torres, Rafael C.
Cardoso, Nuno
Bicudo, Pedro
Ribeiro, Pedro
McClarty, Paul
contents The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the coupling-temperature phase diagram, and determine the location of the tricritical point, $T/K_0 \simeq 0.19$, below which the first-order transition is observed. We find the critical exponents of the high-temperature second-order transition to be compatible with those of the 3-dimensional $O(2)$ model. Our results at higher temperatures can be compared with literature results and are consistent with them. Surprisingly, below $T/K_0 \simeq 0.05$ we find strong indications of a second tricritical point where the first-order transition becomes continuous. These results suggest an unexpected second-order phase transition extending down to zero temperature, contrary to the prevailing consensus. If confirmed, these findings reopen the question of the detailed characterization of the transition including a suitable field theory description.
format Preprint
id arxiv_https___arxiv_org_abs_2404_15907
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Tricriticality in 4D U(1) Lattice Gauge Theory
Torres, Rafael C.
Cardoso, Nuno
Bicudo, Pedro
Ribeiro, Pedro
McClarty, Paul
High Energy Physics - Lattice
Strongly Correlated Electrons
High Energy Physics - Theory
The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the coupling-temperature phase diagram, and determine the location of the tricritical point, $T/K_0 \simeq 0.19$, below which the first-order transition is observed. We find the critical exponents of the high-temperature second-order transition to be compatible with those of the 3-dimensional $O(2)$ model. Our results at higher temperatures can be compared with literature results and are consistent with them. Surprisingly, below $T/K_0 \simeq 0.05$ we find strong indications of a second tricritical point where the first-order transition becomes continuous. These results suggest an unexpected second-order phase transition extending down to zero temperature, contrary to the prevailing consensus. If confirmed, these findings reopen the question of the detailed characterization of the transition including a suitable field theory description.
title Tricriticality in 4D U(1) Lattice Gauge Theory
topic High Energy Physics - Lattice
Strongly Correlated Electrons
High Energy Physics - Theory
url https://arxiv.org/abs/2404.15907