Turkish Journal of Physics
Path Integral Quantization of the Theory of Scalar Charged Particles Interacting Via Chern-Simons Fields
De-Witt-Fadeev- Popov and the general Batalin-Fradkin-Vilkovisky approaches are used to carry out the path integral quantization of the relativistic theory of scalar charged particles interacting via Chern-Simons fields in (2+1) dimensions. Starting from the generating functional, first the path integral representation for the total many-particle Green function of the relativistic point-like charged Bose particles interacting via Chern-Simons fields in (2+1) dimensions is constructed in the form of an integral over the trajectories of the particles. It is observed that the static approximation leads to the well-known expression for the Hamiltonian for anyon interactions in (2+1) dimensions.
BOZ, Müge; FAINBERG, V. Ya.; and PAK, N.K. (1997) "Path Integral Quantization of the Theory of Scalar Charged Particles Interacting Via Chern-Simons Fields," Turkish Journal of Physics: Vol. 21: No. 1, Article 18. Available at: https://journals.tubitak.gov.tr/physics/vol21/iss1/18