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

A. Bassetto·G. De Pol·A. Torrielli·F. Vian
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Abstract

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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A. Bassetto, G. De Pol, A. Torrielli, F. Vian. 2005-03-23. On the invariance under area preserving diffeomorphisms of noncommutative Yang-Mills theory in two dimensions. https://doi.org/10.1088/1126-6708%2F2005%2F05%2F061

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