GAUGE-INVARIANT QUANTIZATION AND INDUCED BRAID STATISTICS IN 2-DIMENSIONAL U(1) THEORIES(1)

Authors
SHNERB N HORWITZ LP
Citation
N. Shnerb et Lp. Horwitz, GAUGE-INVARIANT QUANTIZATION AND INDUCED BRAID STATISTICS IN 2-DIMENSIONAL U(1) THEORIES(1), Physics letters. Section B, 339(1-2), 1994, pp. 90-94
Citations number
11
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
339
Issue
1-2
Year of publication
1994
Pages
90 - 94
Database
ISI
SICI code
0370-2693(1994)339:1-2<90:GQAIBS>2.0.ZU;2-Y
Abstract
We use the Euler-Lagrange equations of motion in order to solve the co nstraints for various types of two dimensional U(1) gauge theories. It is shown that, using this method, one obtains a Lagrangian which is g auge independent. In particular, we discuss the anyonic behavior of th eories which contain fermions coupled to the Chern-Simons term, with a nd without the Maxwell kinetic energy term. The existence of braid sta tistics for the free fermions in the adiabatic limit is discussed, as part of a consistent perturbative expansion around this limit.