Dynamical Symmetry Breaking in Light-Front Gross-Neveu Model

Details Dynamical Symmetry Breaking in Light-Front Gross-Neveu Model Dynamical Symmetry Breaking in Light-Front Gross-Neveu Model

1996-08-11

arxiv.org/abs/hep-th/9608062v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, no figures

Scientific paper

We investigate dynamical symmetry breaking of the Gross-Neveu model in the light-front formalism without introducing auxiliary fields. While this system cannot have zero-mode constraints, we find that a nontrivial solution to the constraint on nondynamical spinor fields is responsible for symmetry breaking. The fermionic constraint is solved by systematic 1/$N$ expansion using the boson expansion method as a technique. Carefully treating the infrared divergence, we obtain a nonzero vacuum expectation value for fermion condensate in the leading order. We derive the 't Hooft equation including the effect of condensation, and determine the Hamiltonian consistently with the equation of motion.

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