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Noncommutative radial waves

Ciprian Acatrinei1,2

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We study radial waves in a (2+1)-dimensional noncommutative scalar field theory, using operatorial methods. The waves propagate along a discrete radial coordinate and are described by finite series deformations of Bessel-type functions. At radius much larger than the noncommutativity scale \sqrt{\theta} , one recovers the usual commutative behaviour. At small distances, classical divergences are smoothed out by noncommutativity.


PACS

11.10.Nx Noncommutative field theory

11.10.Lm Nonlinear or nonlocal theories and models

MSC

81T05 Axiomatic quantum field theory; operator algebras

81T75 Noncommutative geometry methods (See also 46L85, 46L87, 58B34)

33C10 Bessel and Airy functions, cylinder functions, 0F1

Subjects

Particle physics and field theory

Dates

Issue 21 (30 May 2008)

Received 28 January 2008

Published 7 May 2008



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