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Spatial geometry of hamiltonian gauge theories

The Hamiltonians of SU(2) and SU(3) gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the non-Abelian electric field. The transformed Hamiltonians are local....

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Autor principal: Freedman, Daniel Z.
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0920-5632(95)00121-O
http://cds.cern.ch/record/267042
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author Freedman, Daniel Z.
author_facet Freedman, Daniel Z.
author_sort Freedman, Daniel Z.
collection CERN
description The Hamiltonians of SU(2) and SU(3) gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the non-Abelian electric field. The transformed Hamiltonians are local. New results from the same procedure applied to the SU(2) gauge theory in 2+1 dimensions are also given.
id cern-267042
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
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spelling cern-2670422023-03-14T16:35:46Zdoi:10.1016/0920-5632(95)00121-Ohttp://cds.cern.ch/record/267042engFreedman, Daniel Z.Spatial geometry of hamiltonian gauge theoriesGeneral Theoretical PhysicsThe Hamiltonians of SU(2) and SU(3) gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the non-Abelian electric field. The transformed Hamiltonians are local. New results from the same procedure applied to the SU(2) gauge theory in 2+1 dimensions are also given.The Hamiltonians of $SU(2)$ and $SU(3)$ gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the non-Abelian electric field. The transformed Hamiltonians are local. New results from the same procedure applied to the $SU(2)$ gauge theory in 2+1 dimensions are also given.hep-th/9408052CERN-TH-7391-94CERN-TH-7391-94oai:cds.cern.ch:2670421994-08-09
spellingShingle General Theoretical Physics
Freedman, Daniel Z.
Spatial geometry of hamiltonian gauge theories
title Spatial geometry of hamiltonian gauge theories
title_full Spatial geometry of hamiltonian gauge theories
title_fullStr Spatial geometry of hamiltonian gauge theories
title_full_unstemmed Spatial geometry of hamiltonian gauge theories
title_short Spatial geometry of hamiltonian gauge theories
title_sort spatial geometry of hamiltonian gauge theories
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0920-5632(95)00121-O
http://cds.cern.ch/record/267042
work_keys_str_mv AT freedmandanielz spatialgeometryofhamiltoniangaugetheories