A Note On Space Noncommutativity

Details A Note On Space Noncommutativity A Note On Space Noncommutativity

1999-08-24

arxiv.org/abs/hep-th/9908152v2

Phys.Lett. B466 (1999) 234-238

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figure, LaTeX 2.09. Some typographical corrections

Scientific paper

10.1016/S0370-2693(99)01124-7

We consider a two-point spatial lattice approximation to an open string moving in a flat background with B field. It gives a constrained dipole system under the influence of a vector potential. Solving and quantizing this system recover all the essential features of a noncommutative space. In particular, open string interactions induce a canonical product structure on the Hilbert space of the dipole system. It coincides with the usual star product, even though the position operators can be thought of as mutually commuting. Modification of gauge transformations in this noncommutative space also naturally emerges.

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