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arXiv · 1107.3651

Noncommutative Two-Dimensional Gauge Theories

Adi Armoni
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Abstract

We elaborate on the dynamics of noncommutative two-dimensional gauge field theories. We consider U(N) gauge theories with fermions in either the fundamental or the adjoint representation. Noncommutativity leads to a rather non-trivial dependence on theta (the noncommutativity parameter) and to a rich dynamics. In particular the mass spectrum of the noncommutative U(1) theory with adjoint matter is similar to that of ordinary (commutative) two-dimensional large-N SU(N) gauge theory with adjoint matter. The noncommutative version of the 't Hooft model receives a non-trivial contribution to the vacuum polarization starting from three-loops order. As a result the mass spectrum of the noncommutative theory is expected to be different from that of the commutative theory.

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Adi Armoni. 2011-07-19. Noncommutative Two-Dimensional Gauge Theories. https://doi.org/10.1016/j.physletb.2011.09.064

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