Temperature-Resistant Order in 2+1 Dimensions

Fuente: arXiv
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Autores principales: Komargodski, Zohar, Popov, Fedor K.
Formato: Preprint
Publicado: 2024
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author Komargodski, Zohar
Popov, Fedor K.
author_facet Komargodski, Zohar
Popov, Fedor K.
contents High temperatures are typically thought to increase disorder. Here we examine this idea in Quantum Field Theory in 2+1 dimensions. For this sake we explore a novel class of tractable models, consisting of nearly-mean-field scalars interacting with critical scalars. We identify UV-complete, local, unitary models in this class and show that symmetry breaking $\mathbb{Z}_2 \to \emptyset$ occurs at any temperature in some regions of the phase diagram. This phenomenon, previously observed in models with fractional dimensions, or in the strict planar limits, or with non-local interactions, is now exhibited in a local, unitary 2+1 dimensional model with a finite number of fields.
format Preprint
id arxiv_https___arxiv_org_abs_2412_09459
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Temperature-Resistant Order in 2+1 Dimensions
Komargodski, Zohar
Popov, Fedor K.
High Energy Physics - Theory
Strongly Correlated Electrons
High temperatures are typically thought to increase disorder. Here we examine this idea in Quantum Field Theory in 2+1 dimensions. For this sake we explore a novel class of tractable models, consisting of nearly-mean-field scalars interacting with critical scalars. We identify UV-complete, local, unitary models in this class and show that symmetry breaking $\mathbb{Z}_2 \to \emptyset$ occurs at any temperature in some regions of the phase diagram. This phenomenon, previously observed in models with fractional dimensions, or in the strict planar limits, or with non-local interactions, is now exhibited in a local, unitary 2+1 dimensional model with a finite number of fields.
title Temperature-Resistant Order in 2+1 Dimensions
topic High Energy Physics - Theory
Strongly Correlated Electrons
url https://arxiv.org/abs/2412.09459