Sine-Gordon Revisited

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jul 2000Embargo end date: 01 Jan 1999 English Publisher:Springer Science and Business Media LLCJournal:Annales Henri Poincaré, volume 1, pages 499-541 (issn: 1424-0637,

Copyright policy )Funded by:NSERC | unidentified, NSF | Constructive Quantum Fiel...

Authors: Dimock, J.; Hurd, T. R.;

doi: 10.1007/s000230050005 , 10.48550/arxiv.math-ph/9907017

arXiv: math-ph/9907017

Sine-Gordon Revisited

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Abstract

We study the sine-Gordon model in two dimensional space time in two different domains. For beta > 8 pi and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the model is asymptotically free in the infrared. For beta < 8 pi and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalization group analysis shows that the model is asymptotically free in the ultraviolet.

43 pages, Latex 2.09

Related Organizations

McMaster University
Canada
University at Buffalo, State University of New York
United States
SUNY at Buffalo
United States

Keywords

renormalization group analysis, ultraviolet behavior, FOS: Physical sciences, Model quantum field theories, Mathematical Physics (math-ph), Renormalization group methods applied to problems in quantum field theory, KdV equations (Korteweg-de Vries equations), Constructive quantum field theory, infrared cutoff, Mathematical Physics, asymptotically free model

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