Monte Carlo Renormalization Group calculation in $λφ^4_3$

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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3 pages, 2 PostScript files. Parallel talk given at Lattice97

Scientific paper

10.1016/S0920-5632(97)00857-8

We start by discussing some theoretical issues of renormalization group transformations and Monte Carlo renormalization group technique. A method to compute the anomalous dimension is proposed and investigated. As an application, we find excellent values for critical exponents in $\lambda \phi^4_3$. Some technical questions regarding the hybrid algorithm and strong coupling expansions, used to compute the critical couplings of the canonical surface, are also briefly discussed.

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