Magnetic and chiral universality classes in a 3D Yukawa model

Abstract

The 3D Yukawa model with U(1) chiral symmetry is investigated in a broad interval of parameters using the Binder method. Critical exponents of the Wilson-Fisher (magnetic) and Gross-Neveu (chiral) universality classes are measured. The model is dominated by the chiral universality class. However at weak coupling we observe a crossover between both classes, manifested by difficulties with the Binder method which otherwise works well.

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