Observables of non-commutative gauge theories

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Abstract

We construct gauge invariant operators in non-commutative gauge theories which in the IR reduce to the usual operators of ordinary field theories (e.g. Tr F2). We show that in the deep UV the two-point functions of these operators admit a universal exponential behavior which fits neatly with the dual supergravity results. We also consider the ratio between n-point functions and two-point functions to find exponential suppression in the UV which we compare to the high energy fixed angle scattering of string theory.

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Gross, D. J., Hashimoto, A., & Itzhaki, N. (2000). Observables of non-commutative gauge theories. Advances in Theoretical and Mathematical Physics. Homology, Homotopy and Applications. https://doi.org/10.4310/atmp.2000.v4.n4.a4

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