Continuum limit of finite temperature $\lambda {\varphi }_3^4$ from lattice Monte Carlo

Abstract

The ${\varphi }_3^4$ model at finite temperature is simulated on the lattice. For fixed $N_t$ we compute the transition line for $N_s\to \infty$ by means of Finite Size Scaling techniques. The crossings of a Renormalization Group trajectory with the transition lines of increasing $N_t$ give a well defined limit for the critical temperature in the continuum. By considering different RG trajectories, we compute $T^c/g$ as a function of the renormalized parameters.

Comments: 26 pages, Latex, epsfig, 8 figures included