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

Date

1996-03-15

Author

Boz, M
Fainberg, V
Pak, Namık Kemal

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The S-matrix operator for relativistic theory of charged scalar particles interacting via Chern-Simons field is constructed and is shown to be formally the same as the 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 renormalizability 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. (C) 1996 Academic Press, Inc.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/62815

Journal

ANNALS OF PHYSICS

DOI

https://doi.org/10.1006/aphy.1996.0030

Collections

Department of Physics, Article

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Citation Formats

M. Boz, V. Fainberg, and N. K. Pak, “Aharonov-Bohm scattering in Chern-Simons theory of scalar particles,” ANNALS OF PHYSICS, pp. 347–368, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62815.