Schwinger-Dyson equation in the complex plane -- Two simple models --
Hidekazu Tanaka, Shuji Sasagawa
TL;DR
This paper explores the properties of effective mass and energy in the complex plane by solving the Schwinger-Dyson equation for simple models, including a (1+1)-dimensional case and strongly coupled QED.
Contribution
It introduces a method to analyze the Schwinger-Dyson equation in the complex plane for simple models, providing insights into effective mass and energy.
Findings
Effective mass and energy are characterized in the complex plane.
Solutions obtained for (1+1)-dimensional model and strongly coupled QED.
Properties of effective quantities in the complex plane are discussed.
Abstract
Effective mass and energy are investigated using the Schwinger-Dyson equation (SDE) in the complex plane. As simple examples, we solve the SDE for the (1+1)-dimensional model and the strongly coupled quantum electrodynamics (QED). We also study some properties of the effective mass and energy in the complex plane.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Quantum and Classical Electrodynamics · Black Holes and Theoretical Physics