Interplay of universality classes in a three-dimensional Yukawa model

Details Interplay of universality classes in a three-dimensional Yukawa model Interplay of universality classes in a three-dimensional Yukawa model

1995-11-03

arxiv.org/abs/hep-lat/9511005v1

Phys.Rev. D53 (1996) 4616-4627

Physics

High Energy Physics

High Energy Physics - Lattice

24 pp. LaTeX 2e src, needs psfig.sty

Scientific paper

10.1103/PhysRevD.53.4616

We investigate numerically on the lattice the interplay of universality classes of the three-dimensional Yukawa model with U(1) chiral symmetry, using the Binder method of finite size scaling. At zero Yukawa coupling the scaling related to the magnetic Wilson--Fisher fixed point is confirmed. At sufficiently strong Yukawa coupling the dominance of the chiral fixed point associated with the 3D Gross--Neveu model is observed for various values of the coupling parameters, including infinite scalar selfcoupling. In both cases the Binder method works consistently in a broad range of lattice sizes. However, when the Yukawa coupling is decreased the finite size behavior gets complicated and the Binder method gives inconsistent results for different lattice sizes. This signals a cross-over between the universality classes of the two fixed points.

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