Two-dimensional model of dynamical fermion mass generation in strongly coupled gauge theories

Abstract

We generalize the $N_F=2$ Schwinger model on the lattice by adding a charged scalar field. In this so-called $\chi U{\varphi }_2$ model the scalar field shields the fermion charge, and a neutral fermion, acquiring mass dynamically, is present in the spectrum. We study numerically the mass of this fermion at various large fixed values of the gauge coupling by varying the effective four-fermion coupling, and find an indication that its scaling behavior is the same as that of the fermion mass in the chiral Gross-Neveu model. This suggests that the $\chi U{\varphi }_2$ model is in the same universality class as the Gross-Neveu model, and thus renormalizable and asymptotic free at arbitrary strong gauge coupling.

18 pages, LaTeX2e, requires packages rotating.sty and curves.sty from CTAN

References in corpus (7)

• Dynamical fermion mass generation by strong gauge interaction shielded by a scalar field
• Spectroscopy and Renormalisation Group Flow of a Lattice Nambu-Jona-Lasinio Model
• Chiral phase transition in a lattice fermion--gauge--scalar model with U(1) gauge symmetry
• Study of the Asymptotic Freedom of 2D Yukawa Models on the Lattice
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• Gauge invariant generalization of the 2D chiral Gross-Neveu model
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Cited by in corpus (3)

• Strongly coupled lattice gauge theory with dynamical fermion mass generation in three dimensions
• Dynamical fermion mass generation at a tricritical point in strongly coupled U(1) lattice gauge theory
• Strongly coupled U(1) lattice gauge theory as a microscopic model of Yukawa theory