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

Journal Article · Sun Dec 01 00:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.7741· OSTI ID:399927

Franzki, W; Jersak, J; Welters, R ^[1]

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1. Institute of Theoretical Physics E, RWTH Aachen, D-52056 Aachen (Germany)

We generalize the {ital N}{sub {ital F}}=2 Schwinger model on the lattice by adding a charged scalar field. In this so-called {chi}{ital U}{phi}{sub 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}{ital U}{phi}{sub 2} model is in the same universality class as the Gross-Neveu model, and thus renormalizable and asymptotic-free at arbitrary strong gauge coupling. The model illustrates that strongly coupled gauge theories might provide an alternative to the Higgs mechanism of mass generation. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 399927
• Journal Information: Physical Review, D, Vol. 54, Issue 12; Other Information: PBD: Dec 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FERMIONS
MASS
STRONG-COUPLING MODEL
TWO-DIMENSIONAL CALCULATIONS
SCALAR FIELDS
FERMI INTERACTIONS
CHIRAL SYMMETRY
RENORMALIZATION
HIGGS MODEL