2016Nuclear Physics BOpen access

Schwinger–Dyson functional in Chern–Simons theory

E. Guadagnini

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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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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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Available 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.

Key concepts: Chern–Simons theory, Mathematical physics, Gauge theory, Curvature, Duality (order theory), Physics, Transformation (genetics), Gauge (firearms)

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