Schwinger-Dyson functional in Chern-Simons theory
Enore Guadagnini
TL;DR
This paper explores the simplified form of Schwinger-Dyson equations in perturbative SU(N) Chern-Simons theory, revealing a duality between correlation functions of curvature and gauge connections.
Contribution
It demonstrates a duality transformation linking the generating functionals of curvature and gauge connection correlation functions in Chern-Simons theory.
Findings
Schwinger-Dyson equations are simplified in perturbative SU(N) Chern-Simons theory
A duality relation between curvature and gauge connection correlation functionals is established
The renormalized Schwinger-Dyson functional is explicitly related to gauge connection correlations
Abstract
In perturbative SU(N) Chern-Simons gauge theory, it is shown that the Schwinger-Dyson equations assume a quite simplified form. The generating functional of the correlation functions of the curvature is considered; it is demonstrated that the renormalized Schwinger-Dyson functional is related with the generating functional of the correlation functions of the gauge connections by some kind of duality transformation.
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