The soliton solutions of the (1+1)-dimensional real ϕ4field at finite temperature

Abstract

Proposes a method based on the concepts of coherent state and the approach of the real time Green function to investigate the spontaneous breaking of symmetry in a (1+1)-dimensional phi 4 field as well as its restoration at finite temperatures. A critical temperature Tc is found at which the kink-like soliton disappears. In the weak coupling limit, the soliton mass Es mod T=Tc=(1/3 square root 3)Es mod T=0 and the critical temperature Tc=(2/3 square root 3)Es mod T=0.