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 $\omega_A \approx 1.691$ in the LPA. This high value implies that such corrections cannot explain asymmetries observed in some Monte Carlo simulations.