Interplay of universality classes in a three-dimensional Yukawa model

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 suf...

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Bibliographic Details
Published in:arXiv.org 1995-11
Main Authors: Focht, E, Jersak, J, Paul, J
Format: Article
Language:English
Subjects:
Coupling
Crossovers
Mathematical models
Scaling
Three dimensional models
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9511005