One-loop dimensional reduction of the linear sigma model

Details One-loop dimensional reduction of the linear sigma model One-loop dimensional reduction of the linear sigma model

1997-05-12

arxiv.org/abs/hep-th/9705070v1

Physica A250 (1998) 423

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex, no figures, to be submitted to Physica A

Scientific paper

We perform the dimensional reduction of the linear $\sigma$ model at one-loop level. The effective potential of the reduced theory obtained from the integration over the nonzero Matsubara frequencies is exhibited. Thermal mass and coupling constant renormalization constants are given, as well as the thermal renormalization group equation which controls the dependence of the counterterms on the temperature. We also recover, for the reduced theory, the vacuum unstability of the model for large N.

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