On the invariance under area preserving diffeomorphisms of noncommutative Yang-Mills theory in two dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX JHEP style, 16 pages, 2 figures

Scientific paper

10.1088/1126-6708/2005/05/061

We present an investigation on the invariance properties of noncommutative Yang-Mills theory in two dimensions under area preserving diffeomorphisms. Stimulated by recent remarks by Ambjorn, Dubin and Makeenko who found a breaking of such an invariance, we confirm both on a fairly general ground and by means of perturbative analytical and numerical calculations that indeed invariance under area preserving diffeomorphisms is lost. However a remnant survives, namely invariance under linear unimodular tranformations.

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