Instantons in spherical model thermodynamics
type: Item
instance of: scholarly article
title: Instantons in spherical model thermodynamics
zbMATH Open document ID: 0925.82054
DOI: 10.1007/BF01055704
published in: Journal of Statistical Physics
publication date: 1993-10-27T00:00:00Z
review text: The instanton thermodynamics of a spherical model analogous to the soliton thermodynamics of one-dimensional sine-Gordon and \(\phi{}^4\)-models is constructed. Decomposition of the system phase volume integral into a sum of contributions corresponding to the thermal fluctuations above the basic and instanton vacua is obtained and all the components of this sum are found. It appears that fluctuations above instanton vacua are Gaussian at all temperature. It is shown that the phase transition temperature in the spherical model can be found from the Kosterlitz-Thouless criterion: in the high-temperature phase the instanton configurations become thermodynamically favorable. The obtained results are exact and are naturally formulated in terms of singularity theory.
Mathematics Subject Classification ID: 82B23
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B26
zbMATH DE Number: 112020
zbMATH Keywords: phase transition
zbMATH Keywords: vanishing cycle
zbMATH Keywords: monodromy group
zbMATH Keywords: singularity theory
author: Sergei B. Rutkevich
MaRDI profile type: Publication
cites work: The Spherical Model of a Ferromagnet
cites work: Q3324796
full work available at URL: https://doi.org/10.1007/bf01055704
OpenAlex ID: W2048511636
description: scientific article; zbMATH DE number 112020