Renormalizable parameters of the sine-Gordon model

The well-known phase structure of the two-dimensional sine-Gordon model is reconstructed by means of its renormalization group flow, the study of the sensitivity of the dynamics on microscopic parameters. Such an analysis resolves the apparent contradiction between the phase structure and the trivia...

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Bibliographic Details
Published in:Physics letters. B 2007-04, Vol.647 (2-3), p.152-158
Main Authors: Nagy, S., Nándori, I., Polonyi, J., Sailer, K.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Nuclear physics
Physics
Renormalization group
Sine-Gordon model
The physics of elementary particles and fields
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Summary:The well-known phase structure of the two-dimensional sine-Gordon model is reconstructed by means of its renormalization group flow, the study of the sensitivity of the dynamics on microscopic parameters. Such an analysis resolves the apparent contradiction between the phase structure and the triviality of the effective potential in either phases, provides a case where usual classification of operators based on the linearization of the scaling relation around a fixed point is not available and shows that the Maxwell-cut generates an unusually strong universality at long distances. Possible analogies with four-dimensional Yang–Mills theories are mentioned, too.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2007.01.060