Noncommutative correction to Aharonov-Bohm scattering: A field theory approach

Journal Article · Fri Oct 15 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.085005· OSTI ID:20705522

Anacleto, M A; Gomes, M; Silva, A.J. da ^[1]; Spehler, D ^[2]

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1. Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66318, 05315-970, Sao Paulo, SP (Brazil)
2. Universite Louis Pasteur, I.U.T. Allee d'Athenes, 67300 Schiltigheim (France)

We study a noncommutative nonrelativistic theory in 2+1 dimensions of a scalar field coupled to the Chern-Simons field. In the commutative situation this model has been used to simulate the Aharonov-Bohm effect in the field theory context. We verified that, contrary to the commutative result, the inclusion of a quartic self-interaction of the scalar field is not necessary to secure the ultraviolet renormalizability of the model. However, to obtain a smooth commutative limit the presence of a quartic gauge invariant self-interaction is required. For small noncommutativity we fix the corrections to the Aharonov-Bohm scattering and prove that up to one loop the model is free from dangerous infrared/ultraviolet divergences.

• OSTI ID: 20705522
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AHARONOV-BOHM EFFECT
COMMUTATION RELATIONS
CORRECTIONS
GAUGE INVARIANCE
INFRARED DIVERGENCES
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SCATTERING
ULTRAVIOLET DIVERGENCES
ULTRAVIOLET RADIATION