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Noncommutative Two-Dimensional Gauge Theories

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arxiv 1107.3651 v1 pith:AG7QRJTW submitted 2011-07-19 hep-th

classification hep-th
keywords noncommutativegaugetheoryadjointtheoriestwo-dimensionalcommutativedynamics
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Towards Stabilization on Noncommutative Torus

    hep-th 2024-11 conditional novelty 5.0 of 10

    Adjoint fermions remove the one-loop tachyonic instability of noncommutative U(1) Yang-Mills compactified on T^2, restoring the Z_N x Z_N symmetric vacuum at large N.

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