Schwinger-Dyson Equation in Minkowski Space beyond the IE Approximation
Shuji Sasagawa, Hidekazu Tanaka
TL;DR
This paper explores the properties of fermion mass functions in quantum electrodynamics using the Schwinger-Dyson equation in Minkowski space, comparing results beyond the instantaneous exchange approximation with Euclidean space calculations.
Contribution
It presents a detailed analysis of fermion mass functions in Minkowski space without the instantaneous exchange approximation, extending previous Euclidean space studies.
Findings
Minkowski space calculations differ from Euclidean results.
Results show the importance of beyond-approximation effects.
Enhanced understanding of fermion mass generation in QED.
Abstract
We investigate the properties of fermion mass functions in quantum electrodynamics calculated by the Schwinger-Dyson equation in the strong coupling region, in which the loop integration is performed in Minkowski space. The calculated results without the instantaneous exchange approximation are compared with those obtained by integration in Euclidean space.
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