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

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.

12 pages, 3 Postscript figures, uses epsf

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• On the Phase Diagram of QCD
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
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Cited by in corpus (5)

• High-accuracy scaling exponents in the local potential approximation
• Subleading critical exponents from the renormalisation group
• The Wilson-Polchinski exact renormalization group equation
• Free Energy and Equation of State of Ising-like Magnet Near the Critical Point
• The Universal Equation of State near the Critical Point of QCD