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Gap Equations from Fermionic Constraints on the Light-Front

Kazunori Itakura

hep-tharXiv:hep-th/9706077

Abstract

We investigate how the gap equations are obtained in the light-front formalism within the four-Fermi theories. Instead of the zero-mode constraint, we find that the "fermionic constraints" on nondynamical spinor components are responsible for symmetry breaking. Careful treatment of the infrared divergence is indispensable for obtaining the gap equation.

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