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General properties of noncommutative field theories (2003)
| Citations: | 72 - 3 self |
BibTeX
@MISC{Álvarez-gaumé03generalproperties,
author = {Luis Álvarez-gaumé and Miguel A. Vázquez-mozo},
title = {General properties of noncommutative field theories },
year = {2003}
}
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Abstract
In this paper we study general properties of noncommutative field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. We analyze the extension of the Wightman axioms to this context and explore their consequences, in particular we present a proof of the CPT theorem for theories with space-space noncommutativity. We analyze as well questions associated to the spin-statistics connections, and show that noncommutative N = 4, U(1) gauge theory can be softly broken to N = 0 satisfying the axioms and providing an example where the Wilsonian low energy effective action can be constructed without UV/IR problems, after a judicious choice of soft breaking parameters is made. We also assess the phenomenological prospects of such a theory, which are in fact rather negative.
