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Many-Body Methods for Chern-Simons Systems
Lucjan Jacak, Piotr Sitko, Konrad Wieczorek, Arkadiusz Wójs
Abstract
This chapter addresses the quantum theory of many-body systems with Chern–Simons field in order to describe the change of statistics in two-dimensional systems. The random phase approximation is used for an anyon gas. Within this approach the correlation energy of an anyon gas is found. The Hartree–Fock approximation for Chern–Simons systems and diagram analysis for a gas of anyons for self-consistent Hartree and Hartree–Fock approximations is also given.