Critical Behavior of a Four-Fermion Schwinger-Dyson Equation

Abstract

We study the Schwinger-Dyson equation associated with a chirality- changing fermion 4-point function in a strongly-coupled $U(1)$ gauge theory. After making appropriate simplifications, we solve the equation numerically via a relaxation method. Our analysis provides an estimate of the critical coupling and it gives some indication as to the general momentum dependence of the 4-point function.

arXiv commentversion to be published, postscript file

References in corpus (3)

• Gauge independent Chiral Symmetry Breaking in Quenched QED
• A Dynamical Origin for the Top Mass
• Light Composite Vector Bosons

Cited by in corpus (5)

• Enhancement of quark number susceptibility with an alternative pattern of chiral symmetry breaking in dense matter
• Are Four-Fermion Operators Relevant for the Fermion Mass Problem?
• Four-Body Chiral Order Parameters in the Massless Fermion Phase
• Symmetry breaking via fermion 4-point functions
• Chiral Symmetry Breaking via Multi-fermion Green Functions