Exact Solutions of Linearized Schwinger-Dyson Equation of Fermion Self-Energy
Bang-Rong Zhou (CCAST (World Lab.), Graduate School, Academia, Sinica, Beijing)
TL;DR
This paper provides exact solutions to the linearized Schwinger-Dyson equation for fermion self-energy, considering gauge and four-fermion interactions, and explores solutions under different ultraviolet boundary conditions.
Contribution
It presents the first exact solutions to the linearized Schwinger-Dyson equation with gauge and four-fermion interactions, including boundary condition analysis.
Findings
Derived solutions for irregular and regular ultraviolet boundary conditions
Clarified the structure of fermion self-energy solutions in the linearized approximation
Enhanced understanding of fermion dynamics in gauge and four-fermion interaction theories
Abstract
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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