Nonlinear effects in Schwinger-Dyson Equation
Hiroaki Kouno, Akira Hasegawa, Masahiro Nakano, Kunito Tuchitani
TL;DR
This paper investigates nonlinear effects in the QED ladder Schwinger-Dyson equation, demonstrating how they can be incorporated into effective couplings and analyzing the validity of linear approximations.
Contribution
It provides a comprehensive analysis of nonlinear effects in the ladder SD equation without approximations and extends the analysis to the improved ladder calculation with Higashijima-Miransky approximation.
Findings
Nonlinear effects can be effectively included in couplings.
Linear approximation remains valid under certain conditions.
Generalization to improved ladder calculations is achieved.
Abstract
We study nonlinear effects in the QED ladder Schwinger-Dyson(SD) equation. Without further approximations, we show that all nonlinear effects in the ladder SD equation can be included in the effective couplings and how a linear approximation works well. The analyses is generalized in the case of the improved ladder calculation with the Higashijima-Miransky approximation.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Mechanical and Optical Resonators · Cold Atom Physics and Bose-Einstein Condensates