Critical Behavior of a Four-Fermion Schwinger-Dyson Equation

Details Critical Behavior of a Four-Fermion Schwinger-Dyson Equation Critical Behavior of a Four-Fermion Schwinger-Dyson Equation

1994-12-12

arxiv.org/abs/hep-ph/9412277v3

Phys.Rev. D51 (1995) 7124-7131

Physics

High Energy Physics

High Energy Physics - Phenomenology

version to be published, postscript file

Scientific paper

10.1103/PhysRevD.51.7124

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.

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