Chiral phase transition in a lattice fermion--gauge--scalar model with U(1) gauge symmetry

Abstract

The chiral phase transition induced by a charged scalar field is investigated numerically in a lattice fermion-gauge-scalar model with U(1) gauge symmetry, proposed recently as a model for dynamical fermion mass generation. For very strong gauge coupling the transition is of second order and its scaling properties are very similar to those of the Nambu--Jona-Lasinio model. However, in the vicinity of the tricritical point at somewhat weaker coupling, where the transition changes the order, the scaling behavior is different. Therefore it is worthwhile to investigate the continuum limit of the model at this point.

20 pages, latex2e, 15 PostScript figures included, all files tared, compressed and uudecoded

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Cited by in corpus (11)

• Interplay of universality classes in a three-dimensional Yukawa model
• Critical Behavior of the Schwinger Model with Wilson Fermions
• Dynamical fermion mass generation at a tricritical point in strongly coupled U(1) lattice gauge theory
• Chiral transition and monopole percolation in lattice scalar QED with quenched fermions
• Schwinger - Dyson equation and NJL approximation in massive gauge theory with fermions
• Strongly coupled U(1) lattice gauge theory as a microscopic model of Yukawa theory
• On the continuum limit of gauge-fixed compact U(1) lattice gauge theory
• Two-dimensional model of dynamical fermion mass generation in strongly coupled gauge theories
• Gauge invariant generalization of the 2D chiral Gross-Neveu model
• Analysis of the Lee-Yang zeros in a dynamical mass generation model in three dimensions
• Scaling behavior at the tricritical point in the fermion-gauge-scalar model