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Area preserving diffeomorphisms and Yang-Mills theory in two noncommutative dimensions
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Area preserving diffeomorphisms and Yang-Mills theory in two noncommutative dimensions

A Bassetto, G De Pol, A Torrielli and F Vian
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, Vol.161, pp.21-26
8th Workshop on Light-Cone QCD and Nonperturbative Hadron Physics (Cairns, AUSTRALIA)
01/11/2006

Abstract

QUANTUM GAUGE-THEORIES WILSON LOOP AVERAGE SPHERE
We present some evidence that noncommutative Yang-Mills theory in two dimensions is not invariant under area preserving diffeomorphisms, at variance with the commutative case. Still, invariance under linear unimodular maps survives, as is proven by means of a fairly general argument.
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http://dx.doi.org/10.1016/j.nuclphysbps.2006.08.005View
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