Noncommutative radial waves

Abstract

We study radial waves in (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.

LaTeX, 8 pages, no figures; improved presentation, misprints corrected, references added

References in corpus (7)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• On the unitarity problem in space/time noncommutative theories
• Remarks on Time-Space Noncommutative Field Theories
• Time-ordered Perturbation Theory on Noncommutative Spacetime II: Unitarity
• Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories
• Canonical Quantization of Noncommutative Field Theory

Cited by in corpus (3)

• Jacobi Polynomials, Bernstein-type Inequalities and Dispersion Estimates for the Discrete Laguerre Operator
• Heat kernels of the discrete Laguerre operators
• Dispersion Estimates for the Discrete Laguerre Operator