A Proposal of a Renormalization Group Transformation for Lattice Field Theories
L.A.Fernandez, Munoz Sudupe, J.J.Ruiz-Lorenzo, A.Tarancon
TL;DR
This paper introduces a novel real space renormalization group transformation tailored for Monte Carlo simulations of lattice field theories with symmetries, demonstrated on the 3D XY model.
Contribution
It develops a block-spin transformation with tunable parameters that can position the fixed point near the simulation point, improving analysis of lattice field theories.
Findings
Effective in the 3D XY model
Allows placement of fixed point close to simulation point
Provides a flexible approach for theories with symmetries
Abstract
We propose a new Real Space Renormalization Group transformation useful for Monte Carlo calculations in theories with global or local symmetries. From relaxation arguments we define the block-spin transformation with two tunable free parameters, adapted to the system's action. Varying them it is possible to place the fixed point very close to the simulation point. We show how the method works in a simple model with global symmetry: the three dimensional XY model.
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