Monte Carlo Renormalization Group Analysis of Lattice φ 4 Model in D = 3 , 4
نویسنده
چکیده
We formulate theoretical basis of recently proposed finite-size scaling method for estimation and elimination of sub-leading scaling field in Monte Carlo simulation of critical phenomena. We also applied the finite-size scaling method to D = 3, 4 lattice φ 4 model, and obtained renormalization flow diagram of leading and sub-leading scaling field. For D = 4, result is compared to finite-size perturbation theory and good agreements were found. For D = 3, critical exponents were calculated from renormalization flow diagram and reasonable result was obtained.
منابع مشابه
Typeset Using Revt E X 1
We present a simple, sophisticated method to capture renormalization group flow in Monte Carlo simulation, which provides important information of critical phenomena. We applied the method to D = 3, 4 lattice φ 4 model and obtained renormalization flow diagram which well reproduces theoretically predicted behavior of continuum φ 4 model. We also show that the method can be easily applied to muc...
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