Nonperturbative Dynamics of Noncommutative Gauge Theory

Details Nonperturbative Dynamics of Noncommutative Gauge Theory Nonperturbative Dynamics of Noncommutative Gauge Theory

2000-02-18

arxiv.org/abs/hep-th/0002158v2

Phys.Lett. B480 (2000) 399-408

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, latex, no figures, typos corrected, references added

Scientific paper

10.1016/S0370-2693(00)00391-9

We present a nonperturbative lattice formulation of noncommutative Yang-Mills theories in arbitrary even dimension. We show that lattice regularization of a noncommutative field theory requires finite lattice volume which automatically provides both an ultraviolet and an infrared cutoff. We demonstrate explicitly Morita equivalence of commutative U(p) gauge theory with (p*n_f) flavours of fundamental matter fields on a lattice of size L with twisted boundary conditions and noncommutative U(1) gauge theory with n_f species of matter on a lattice of size (p*L) with single-valued fields. We discuss the relation with twisted large N reduced models and construct observables in noncommutative gauge theory with matter.

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