Reducing finite-size effects with reweighted renormalization group transformations

Abstract

We combine histogram reweighting techniques with the two-lattice matching Monte Carlo renormalization group method to conduct computationally efficient calculations of critical exponents on systems with moderately small lattice sizes. The approach, which relies on the construction of renormalization group mappings between two systems of identical lattice size to partially eliminate finite-size effects, and the use of histogram reweighting to obtain computationally efficient results in extended regions of parameter space, is utilized to explicitly determine the renormalized coupling parameters of the two-dimensional ${\varphi }^4$ scalar field theory and to extract multiple critical exponents. We conclude by quantifying the computational benefits of the approach and discuss how reweighting opens up the opportunity to extend Monte Carlo renormalization group methods to systems with complex-valued actions.

References in corpus (7)

• A new method to study lattice QCD at finite temperature and chemical potential
• Infrared fixed point of the 12-fermion SU(3) gauge model based on 2-lattice MCRG matching
• An improved lattice measurement of the critical coupling in phi^4_2 theory
• Monte Carlo Simulation Calculation of Critical Coupling Constant for Continuum ϕ^4_2
• Quantum field-theoretic machine learning
• Inverse Renormalization Group in Quantum Field Theory
• Adding machine learning within Hamiltonians: Renormalization group transformations, symmetry breaking and restoration

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