Antisymmetric and other subleading corrections to scaling in the local potential approximation

TL;DR

This paper calculates critical exponents for the 3D Ising universality class within the local potential approximation, focusing on antisymmetric corrections to scaling and their implications for Monte Carlo simulation asymmetries.

Contribution

It provides the first detailed computation of the antisymmetric correction to scaling exponent in the LPA for the 3D Ising model.

Findings

Antisymmetric correction exponent  .691

High correction exponent suggests limited impact on observed asymmetries

Clarifies the role of antisymmetric corrections in critical phenomena

Abstract

For systems in the universality class of the three-dimensional Ising model we compute the critical exponents in the local potential approximation (LPA), that is, in the framework of the Wegner-Houghton equation. We are mostly interested in antisymmetric corrections to scaling, which are relatively poorly studied. We find the exponent for the leading antisymmetric correction to scaling $\omega_A \approx 1.691$ in the LPA. This high value implies that such corrections cannot explain asymmetries observed in some Monte Carlo simulations.