Gauge invariant variables and the Yang-Mills-Chern-Simons theory
High Energy Physics - Theory
2015-06-26 v1
Abstract
A Hamiltonian analysis of Yang-Mills (YM) theory in (2+1) dimensions with a level Chern-Simons term is carried out using a gauge invariant matrix parametrization of the potentials. The gauge boson states are constructed and the contribution of the dynamical mass gap to the gauge boson mass is obtained. Long distance properties of vacuum expectation values are related to a Euclidean two-dimensional YM theory coupled to flavors of Dirac fermions in the fundamental representation. We also discuss the expectation value of the Wilson loop operator and give a comparison with previous results.
Keywords
Cite
@article{arxiv.hep-th/9907078,
title = {Gauge invariant variables and the Yang-Mills-Chern-Simons theory},
author = {Dimitra Karabali and Chanju Kim and V. P. Nair},
journal= {arXiv preprint arXiv:hep-th/9907078},
year = {2015}
}
Comments
20 pages, Plain TeX