Continuum limit of finite temperature λφ34 from lattice Monte Carlo

Abstract The φ34 model at finite temperature is simulated on the lattice. For fixed Nt we compute the transition line for Ns → ∞ by means of finite size scaling techniques. The crossings of a renormalization group trajectory with the transition lines of increasing Nt give a well-defined limit for the critical temperature in the continuum. By considering different RG trajectories, we compute Tc/g as a function of the renormalized parameters.