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


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

PHYSICS LETTERS A, cilt.207, ss.1-10, 1995 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 207
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1016/0375-9601(95)00630-l
  • Dergi Adı: PHYSICS LETTERS A
  • Sayfa Sayıları: ss.1-10

Özet

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.