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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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Detalles Bibliográficos
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
Descripción
Sumario: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.