Renormalizable parameters of the sine-Gordon model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 7 figures. Revised form, to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2007.01.060

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.

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