Duality and Non-Commutative Gauge Theory

Details Duality and Non-Commutative Gauge Theory Duality and Non-Commutative Gauge Theory

2000-05-04

arxiv.org/abs/hep-th/0005046v2

Phys.Rev. D62 (2000) 125008

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, harvmac; a typo fixed

Scientific paper

10.1103/PhysRevD.62.125008

We study the generalization of S-duality to non-commutative gauge theories. For rank one theories, we obtain the leading terms of the dual theory by Legendre transforming the Lagrangian of the non-commutative theory expressed in terms of a commutative gauge field. The dual description is weakly coupled when the original theory is strongly coupled if we appropriately scale the non-commutativity parameter. However, the dual theory appears to be non-commutative in space-time when the original theory is non-commutative in space. This suggests that locality in time for non-commutative theories is an artifact of perturbation theory.

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