High temperature symmetry nonrestoration and inverse symmetry breaking in the Cornwall-Jackiw-Tomboulis formalism

Abstract

The Cornwall-Jackiw-Tomboulis (CJT) effective action at finite temperature is applied to study the symmetry nonrestoration (SNR) and inverse symmetry breaking (ISB) at high temperature in the ${Z}_{2}\ifmmode\times\else\texttimes\fi{}{Z}_{2}$ model. A renormalization prescription is developed for the CJT effective action in the double bubble approximation. It is shown that the triviality related feature of the model does not show up, and the temperature effects do not alter the conditions for SNR/ISB in a broad range of temperatures.