Aharonov-Bohm scattering in Chern-Simons theory of scalar particles

Journal Article · Fri Mar 15 04:00:00 EST 1996 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1996.0030· OSTI ID:245201

Boz, M; Fainberg, V; Pak, N K ^[1]

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1. Middle East Technical Univ., Ankara (Turkey)

The S-matrix operator for relativistic theory of charged scalar particles interacting via Chern-Simon field is constructed and is shown to be formally the same as S-matrix in relativistic scalar quantum electrodynamics in which the Feynman diagrams with external photon lines are not considered and the propagators of the Chern-Simons particles are substituted in place of the ones for photons. All the one-loop Feynman diagrams for relativistic scattering amplitude of two charged particles are calculated. Due to the renormalizabilty of the theory only two diagrams have linear divergence, which are regularized. The nonrelativistic limit of the scattering amplitude is also finite, unlike the non-relativistic Chern-Simons scattering theory. It is found that for a certain value of the contact interaction, corresponding to the repulsive case, the scattering amplitude coincides with that of Aharonov-Bohm scattering, in the same approximation. 20 refs., 2 fig.

• OSTI ID: 245201
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 246; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AHARONOV-BOHM EFFECT
ANYONS
QUANTUM FIELD THEORY
S MATRIX
SCALAR FIELDS
SCATTERING AMPLITUDES