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

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) approximate to 1.691 in the LPA. This high value implies that such corrections cannot explain asymmetries observed in some Monte Carlo simulations. (C) 2002 Elsevier Science B.V. All rights reserved.