The Sine-Gordon field theory model at \(\alpha ^ 2=8\pi\), the non- superrenormalizable theory
type: Item
instance of: scholarly article
title: The Sine-Gordon field theory model at \(\alpha ^ 2=8\pi\), the non- superrenormalizable theory
zbMATH Open document ID: 0668.60094
DOI: 10.1007/BF01238809
author: Paolo Perfetti
author: Francesco Nicolò
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: We study the Sine-Gordon field theory at \(\alpha^ 2=8\pi\). We prove that the theory is renormalizable but not superrenormalizable and we show how the perturbative renormalization procedure works in this case where the interaction is not polynomial. To go beyond the perturbative results we investigate the \(\beta\)-functional equation for this theory and discuss in what sense at \(\alpha^ 2=8\pi\) the theory is lacking the asymptotic freedom and how it is asymptotic free for \(\alpha^ 2<8\pi\) in an appropriate region of the coupling constants.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 82B26
zbMATH DE Number: 4094557
zbMATH Keywords: Sine-Gordon field theory
zbMATH Keywords: perturbative renormalization procedure
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01238809
OpenAlex ID: W2160421382
description: scientific article; zbMATH DE number 4094557