COMBINING MCRG AND FOURIER ACCELERATED LANGEVIN ALGORITHM

Abstract

We study the implementation of Monte Carlo renormalization group (MCRG) in momentum space. This technique is most efficient when used in combination with a Fourier accelerated Langevin algorithm. As a benchmark we calculate the critical exponents $\nu$ and $\eta$ in the vicinity of both the gaussian and the Wilson fixed point in $\lambda {\varphi }_3^4$. The results are very competitive with alternative analytical methods and require a moderate computational effort only.

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Cited by in corpus (8)

• O(N) models within the local potential approximation
• M.C.R.G. Study of Fixed-connectivity Surfaces
• Improved Algorithms for Simulating Crystalline Membranes
• Physics From Breit-Frame Regularization Of a Lattice Hamiltonian
• Monte Carlo Renormalization Group Analysis of Lattice ${\varphi }^4$ Model in $D=3,4$
• Monte Carlo Renormalization Group calculation in $\lambda {\varphi }_3^4$
• Determination of the Crumpling Fractal Dimension Via k-Space MCRG
• The Renormalization Group and its Finite Lattice Approximations