Critical Behavior of a Four-Fermion Schwinger-Dyson Equation
B. Holdom, G. Triantaphyllou
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.
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