Sine-Gordon Revisited

Details Sine-Gordon Revisited Sine-Gordon Revisited

1999-07-21

arxiv.org/abs/math-ph/9907017v1

Annales Poincare Phys.Theor. 1 (2000) 499-541

Physics

Mathematical Physics

43 pages, Latex 2.09

Scientific paper

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.

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