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Discrete translational invariance and mass-renormalization in the two-dimensional sine-Gordon model
Authors:Bernhard Neudecker
Affiliation:(1) Institut für Theoretische Physik der Universität, Universitätsstrasse 1 Geb. 25. 32, D-4000 Düsseldorf, Federal Republic of Germany
Abstract:We consider the sine-Gordon model as a field-theory in which the interaction has a discrete translational invariance. It is shown that apart from a Gaussian contribution the Helmholtz free-energy exhibits this symmetry as well. Thus in an originally massless theory, the insertion of a mass term can be considered as a rather ldquoweakrdquo symmetry-breaking. Within the Amit-Goldschmidt-Grinstein renormalization-scheme we show that mass-renormalization is trivial.
Keywords:
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