Manifest Modular Invariance in the Near-Critical Ising Model

Fuente: arXiv
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Auteur principal: Berg, Marcus
Format: Preprint
Publié: 2023
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author Berg, Marcus
author_facet Berg, Marcus
contents Using recent results in mathematics, I point out that free energies and scale-dependent central charges away from criticality can be represented in compact form where modular invariance is manifest. The main example is the near-critical Ising model on a thermal torus, but the methods are not restricted to modular symmetry, and apply to automorphic symmetries more generally. One application is finite-size effects.
format Preprint
id arxiv_https___arxiv_org_abs_2302_01185
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Manifest Modular Invariance in the Near-Critical Ising Model
Berg, Marcus
Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
Using recent results in mathematics, I point out that free energies and scale-dependent central charges away from criticality can be represented in compact form where modular invariance is manifest. The main example is the near-critical Ising model on a thermal torus, but the methods are not restricted to modular symmetry, and apply to automorphic symmetries more generally. One application is finite-size effects.
title Manifest Modular Invariance in the Near-Critical Ising Model
topic Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2302.01185