One-loop Shift in Noncommutative Chern-Simons Coupling
Guang-Hong Chen, Yong-Shi Wu
TL;DR
This paper investigates the one-loop quantum correction to the coupling constant in noncommutative U(N) Chern-Simons theory, revealing a shift proportional to N that persists even for U(1), with implications for physics and mathematics.
Contribution
It demonstrates that the one-loop shift in noncommutative Chern-Simons theory is a constant proportional to N, independent of noncommutativity parameters, and applies to U(1) case.
Findings
The one-loop shift is proportional to N.
The shift is independent of noncommutativity parameters.
The shift is non-zero for U(1) theory.
Abstract
In this paper we study the one-loop shift in the coupling constant in a noncommutative pure U(N) Chern-Simons gauge theory in three dimensions. The one-loop shift is shown to be a constant proportional to , independent of noncommutativity parameters, and non-vanishing for U(1) theory. Possible physical and mathematical implications of this result are discussed.
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