Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory

Details Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory

2007-01-30

arxiv.org/abs/hep-th/0701273v1

Phys.Rev.D75:125022,2007

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

10.1103/PhysRevD.75.125022

We use twist deformation techniques to analyse the behaviour under area-preserving diffeomorphisms of quantum averages of Wilson loops in Yang-Mills theory on the noncommutative plane. We find that while the classical gauge theory is manifestly twist covariant, the holonomy operators break the quantum implementation of the twisted symmetry in the usual formal definition of the twisted quantum field theory. These results are deduced by analysing general criteria which guarantee twist invariance of noncommutative quantum field theories. From this a number of general results are also obtained, such as the twisted symplectic invariance of noncommutative scalar quantum field theories with polynomial interactions and the existence of a large class of holonomy operators with both twisted gauge covariance and twisted symplectic invariance.

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