ONE-LOOP RENORMALIZATION OF THE 2-DIMENSIONAL LINEAR SIGMA-MODEL AND GROSS-NEVEU MODEL AT FINITE-TEMPERATURE

Abstract

We study the one-loop renormalization of the two-dimensional linear sigma model and Gross-Neveu model at finite temperature. To do this, we use thermo field dynamics and regard the Gross-Neveu model as a Z3=Z4=0 limit of the linear sigma model. We also derive the renormalization group equations with respect to a dimensional parameter M.