One-loop-dimensional reduction of the linear σ model

A.P.C. Malbouisson, M.B. Silva-Neto and N.F. Svaiter

Physica A: Statistical Mechanics and its Applications, 1998, vol. 250, issue 1, 423-434

Abstract: We perform the dimensional reduction of the linear σ 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.

Keywords: Hot quantum field theory; Dimensional reduction (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:250:y:1998:i:1:p:423-434

DOI: 10.1016/S0378-4371(97)00560-8

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