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arxiv: hep-th/0110254 · v1 · submitted 2001-10-29 · ✦ hep-th

Exact Solutions of Linearized Schwinger-Dyson Equation of Fermion Self-Energy

classification ✦ hep-th
keywords equationfermionschwinger-dysonself-energysolutionsapproximationboundarycondition
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The Schwinger-Dyson equation of fermion self-energy in the linearization approximation is solved exactly in a theory with gauge and effective four-fermion interactions. Different expressions for the indepedent solutions which respectively submit to irregular and regular ultraviolet boundary condition are derived and expounded.

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