Nonperturbative Dynamics of Noncommutative Gauge Theory

2000/02/29 by J. Ambjorn, Y. M. Makeenko, J. Nishimura +1 · 1 citation
Physics and Astronomy · #hep-th #hep-lat

paper · pdf · doi:10.1016/s0370-2693(00)00391-9

published as Phys.Lett. B480 (2000) 399-408 · 12 pages, latex, no figures, typos corrected, references added

arxiv created 2000/03/01 · arxiv updated 2009/11/30

Abstract

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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