Anyon mean field as a critical field theory

Jun, 1992
18 pages
Published in:
  • Nucl.Phys.B 384 (1992) 541-558
  • Published: 1992
Report number:
  • SISSA-100-92-EP

Citations per year

199219931994012
Abstract: (Elsevier)
We discuss an abelian gauge theory in 2+1 dimensions, the gauge field being coupled to nonrelativistic fermions. The action for the gauge field is a combination of the Maxwell term and a Chern-Simons (CS) term. We study the limit of vanishing fermion' charge, keeping fixed the gauge-field mass induced by the CS term. By considering a closed surface, in particular a torus to keep translational invariance, we show that the fermions do not decouple completely from the gauge field, and in fact we find that they behave as anyons treated in the - translationally invariant formulation of the - mean-field approximation.
  • postulated particle: anyon
  • gauge field theory: abelian
  • dimension: 3
  • mean field approximation
  • critical phenomena
  • Chern-Simons term