Gauge invariant quantization and induced braid statistics in 2+1 dimensional U(1) theories

N. Shnerb; L. P. Horwitz

doi:10.1016/0370-2693(94)91138-x

Gauge invariant quantization and induced braid statistics in 2+1 dimensional U(1) theories

N. Shnerb
, L. P. Horwitz

Department of Physics - at Bar-Ilan University

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	90-94
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	339
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(94)91138-x
State	Published - 10 Nov 1994

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abstract = "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.",

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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.

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Gauge invariant quantization and induced braid statistics in 2+1 dimensional U(1) theories

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