CHERN-SIMONS THEORY OF SCALAR PARTICLES AND THE AHARONOV-BOHM EFFECT

BOZ M., FAINBERG V., PAK N. K.

PHYSICS LETTERS A, vol.207, pp.1-10, 1995 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 207
  • Publication Date: 1995
  • Doi Number: 10.1016/0375-9601(95)00630-l
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-10
  • Hacettepe University Affiliated: No

Abstract

The S-matrix of the relativistic theory of charged scalar particles interacting via the Chern-Simons field is shown to be formally equivalent to the S-matrix of scalar QED in 2 + 1 dimensions in which the Feynman diagrams with external photon lines are excluded and the propagators of the Chern-Simons particles are substituted instead of the photon propagators. It is shown that the non-relativistic limit of the scattering amplitude of two anyons is also finite independently of the presence of the contact interaction, unlike the non-relativistic theory. It is found that for a certain value of the contact interaction, the scattering amplitude coincides with that of Aharonov-Bohm scattering in the same approximation.