Continuum limit of finite temperature $λφ^4_3$ from lattice Monte Carlo

Details Continuum limit of finite temperature $λφ^4_3$ from lattice Monte Carlo Continuum limit of finite temperature $λφ^4_3$ from lattice Monte Carlo

1996-10-28

arxiv.org/abs/hep-lat/9610038v1

Nucl.Phys. B490 (1997) 701-719

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages, Latex, epsfig, 8 figures included

Scientific paper

10.1016/S0550-3213(97)00082-5

The $\phi^4_3$ 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.

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