Solving the Schwinger-Dyson Equations for Gluodynamics in the Maximal Abelian Gauge
T. Shinohara, K.-I. Kondo, T. Murakami
TL;DR
This paper derives and solves Schwinger-Dyson equations for SU(2) Yang-Mills theory in the maximal Abelian gauge, providing insights into infrared behavior and supporting Abelian dominance in gluodynamics.
Contribution
It introduces a method to derive and solve Schwinger-Dyson equations specifically in the maximal Abelian gauge for SU(2) Yang-Mills theory, highlighting infrared solutions.
Findings
Infrared solutions support Abelian dominance hypothesis.
Gluon and ghost propagators exhibit consistent asymptotic behavior.
Results align with theoretical expectations of confinement mechanisms.
Abstract
We derive the Schwinger-Dyson equations for the SU(2) Yang-Mills theory in the maximal Abelian gauge and solve them in the infrared asymptotic region. We find that the infrared asymptotic solutions for the gluon and ghost propagators are consistent with the hypothesis of Abelian dominance.
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