TY - JOUR
T1 - Gauge invariant quantization and induced braid statistics in 2+1 dimensional U(1) theories
AU - Shnerb, N.
AU - Horwitz, L. P.
PY - 1994/11/10
Y1 - 1994/11/10
N2 - We use the Euler-Lagrange equations of motion in order to solve the constraints for various types of two dimensional U(1) gauge theories. It is shown that, using this method, one obtains a Lagrangian which is gauge independent. In particular, we discuss the anyonic behavior of theories which contain fermions coupled to the Chern-Simons term, with and without the Maxwell kinetic energy term. The existence of braid statistics for the free fermions in the adiabatic limit is discussed, as part of a consistent perturbative expansion around this limit.
AB - We use the Euler-Lagrange equations of motion in order to solve the constraints for various types of two dimensional U(1) gauge theories. It is shown that, using this method, one obtains a Lagrangian which is gauge independent. In particular, we discuss the anyonic behavior of theories which contain fermions coupled to the Chern-Simons term, with and without the Maxwell kinetic energy term. The existence of braid statistics for the free fermions in the adiabatic limit is discussed, as part of a consistent perturbative expansion around this limit.
UR - http://www.scopus.com/inward/record.url?scp=13844271485&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(94)91138-x
DO - 10.1016/0370-2693(94)91138-x
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
SN - 0370-2693
VL - 339
SP - 90
EP - 94
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -