Planar Yang-Mills theory: Hamiltonian, regulators and mass gap

Dimitra Karabali; Chanju Kim; V. P. Nair

doi:10.1016/S0550-3213(98)00309-5

Planar Yang-Mills theory: Hamiltonian, regulators and mass gap

Dimitra Karabali, Chanju Kim, V. P. Nair

Department of Physics

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

92 Scopus citations

Abstract

We carry out the Hamiltonian analysis of non-Abelian gauge theories in (2+1) dimensions in a gauge-invariant matrix parametrization of the fields. A detailed discussion of regularization issues and the construction of the renormalized Laplace operator on the configuration space, which is proportional to the kinetic energy, are given. The origin of the mass gap is analyzed and the lowest eigenstates of the kinetic energy are explicitly obtained; these have zero charge and exhibit a mass gap. The nature of the corrections due to the potential energy, the possibility of an improved perturbation theory and a Schrödinger-like equation for the states are also discussed.

Original language	English
Pages (from-to)	661-694
Number of pages	34
Journal	Nuclear Physics, Section B
Volume	524
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(98)00309-5
State	Published - 3 Aug 1998

Bibliographical note

Funding Information:
This work was supported in part by the National Science Foundation grant PHY-9322591 and by the Department of Energy grant DE-FG02-91ER40651-Task B. C.K.'s work was supported in part by the Korea Science and Engineering Foundation through the SRC program. We thank B. Sakita for many useful discussions. C.K. also thanks the Physics Department of the City College of the CUNY where part of the work was done.

Keywords

Glueballs
Mass gap
Yang-Mills

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10.1016/S0550-3213(98)00309-5

Cite this

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title = "Planar Yang-Mills theory: Hamiltonian, regulators and mass gap",

abstract = "We carry out the Hamiltonian analysis of non-Abelian gauge theories in (2+1) dimensions in a gauge-invariant matrix parametrization of the fields. A detailed discussion of regularization issues and the construction of the renormalized Laplace operator on the configuration space, which is proportional to the kinetic energy, are given. The origin of the mass gap is analyzed and the lowest eigenstates of the kinetic energy are explicitly obtained; these have zero charge and exhibit a mass gap. The nature of the corrections due to the potential energy, the possibility of an improved perturbation theory and a Schr{\"o}dinger-like equation for the states are also discussed.",

keywords = "Glueballs, Mass gap, Yang-Mills",

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

note = "Funding Information: This work was supported in part by the National Science Foundation grant PHY-9322591 and by the Department of Energy grant DE-FG02-91ER40651-Task B. C.K.'s work was supported in part by the Korea Science and Engineering Foundation through the SRC program. We thank B. Sakita for many useful discussions. C.K. also thanks the Physics Department of the City College of the CUNY where part of the work was done.",

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doi = "10.1016/S0550-3213(98)00309-5",

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T2 - Hamiltonian, regulators and mass gap

AU - Karabali, Dimitra

AU - Kim, Chanju

AU - Nair, V. P.

N1 - Funding Information: This work was supported in part by the National Science Foundation grant PHY-9322591 and by the Department of Energy grant DE-FG02-91ER40651-Task B. C.K.'s work was supported in part by the Korea Science and Engineering Foundation through the SRC program. We thank B. Sakita for many useful discussions. C.K. also thanks the Physics Department of the City College of the CUNY where part of the work was done.

PY - 1998/8/3

Y1 - 1998/8/3

N2 - We carry out the Hamiltonian analysis of non-Abelian gauge theories in (2+1) dimensions in a gauge-invariant matrix parametrization of the fields. A detailed discussion of regularization issues and the construction of the renormalized Laplace operator on the configuration space, which is proportional to the kinetic energy, are given. The origin of the mass gap is analyzed and the lowest eigenstates of the kinetic energy are explicitly obtained; these have zero charge and exhibit a mass gap. The nature of the corrections due to the potential energy, the possibility of an improved perturbation theory and a Schrödinger-like equation for the states are also discussed.

AB - We carry out the Hamiltonian analysis of non-Abelian gauge theories in (2+1) dimensions in a gauge-invariant matrix parametrization of the fields. A detailed discussion of regularization issues and the construction of the renormalized Laplace operator on the configuration space, which is proportional to the kinetic energy, are given. The origin of the mass gap is analyzed and the lowest eigenstates of the kinetic energy are explicitly obtained; these have zero charge and exhibit a mass gap. The nature of the corrections due to the potential energy, the possibility of an improved perturbation theory and a Schrödinger-like equation for the states are also discussed.

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DO - 10.1016/S0550-3213(98)00309-5

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EP - 694

JO - Nuclear Physics, Section B

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ER -

Planar Yang-Mills theory: Hamiltonian, regulators and mass gap

Abstract

Bibliographical note

Keywords

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