Gauge invariant variables and the Yang-Mills-Chern-Simons theory

Dimitra Karabali; Chanju Kim; V. P. Nair

doi:10.1016/S0550-3213(99)00701-4

Gauge invariant variables and the Yang-Mills-Chern-Simons theory

Dimitra Karabali, Chanju Kim, V. P. Nair

Department of Physics

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

29 Scopus citations

Abstract

A Hamiltonian analysis of Yang-Mills (YM) theory in (2 + 1) dimensions with a level k 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 k 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.

Original language	English
Pages (from-to)	331-347
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	566
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(99)00701-4
State	Published - 31 Jan 2000

Keywords

Chern-Simons
Dynamical mass
Gauge invariant variables
Yang-Mills

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10.1016/S0550-3213(99)00701-4

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title = "Gauge invariant variables and the Yang-Mills-Chern-Simons theory",

abstract = "A Hamiltonian analysis of Yang-Mills (YM) theory in (2 + 1) dimensions with a level k 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 k 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 = "Chern-Simons, Dynamical mass, Gauge invariant variables, Yang-Mills",

author = "Dimitra Karabali and Chanju Kim and Nair, {V. P.}",

note = "Funding Information: This work was supported in part by the NSF grant PHY-9605216. C.K. thanks Lehman College of CUNY and Rockefeller University for hospitality facilitating the completion of this work.",

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T1 - Gauge invariant variables and the Yang-Mills-Chern-Simons theory

AU - Karabali, Dimitra

AU - Kim, Chanju

AU - Nair, V. P.

N1 - Funding Information: This work was supported in part by the NSF grant PHY-9605216. C.K. thanks Lehman College of CUNY and Rockefeller University for hospitality facilitating the completion of this work.

PY - 2000/1/31

Y1 - 2000/1/31

N2 - A Hamiltonian analysis of Yang-Mills (YM) theory in (2 + 1) dimensions with a level k 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 k 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.

AB - A Hamiltonian analysis of Yang-Mills (YM) theory in (2 + 1) dimensions with a level k 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 k 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.

KW - Chern-Simons

KW - Dynamical mass

KW - Gauge invariant variables

KW - Yang-Mills

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DO - 10.1016/S0550-3213(99)00701-4

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SN - 0550-3213

VL - 566

SP - 331

EP - 347

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -

Gauge invariant variables and the Yang-Mills-Chern-Simons theory

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Keywords

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