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Global charges as integrals over densities

For a conserved local current delta /sup mu /j/sub mu /(x)=0 it is shown that the matrix elements ( Psi , j/sub 0/(f/sub r/) Phi ) between localized states Psi and Phi of the smoothed integral integral j/sub 0/(x)f/sub r/(x)d/sup 4/x of the 'charge' density j/sub 0/(x) converge to the corr...

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Detalles Bibliográficos
Autor principal: Maison, H D
Lenguaje:eng
Publicado: 1972
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BF02728884
http://cds.cern.ch/record/875642
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author Maison, H D
author_facet Maison, H D
author_sort Maison, H D
collection CERN
description For a conserved local current delta /sup mu /j/sub mu /(x)=0 it is shown that the matrix elements ( Psi , j/sub 0/(f/sub r/) Phi ) between localized states Psi and Phi of the smoothed integral integral j/sub 0/(x)f/sub r/(x)d/sup 4/x of the 'charge' density j/sub 0/(x) converge to the corresponding ones ( Psi , Q Phi ) of the associated global 'charge' Q whenever the latter exists, i.e. if the corresponding symmetry is not spontaneously broken. No assumptions about a gap in the energy-momentum spectrum are made. (10 refs).
id cern-875642
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1972
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spelling cern-8756422019-09-30T06:29:59Zdoi:10.1007/BF02728884http://cds.cern.ch/record/875642engMaison, H DGlobal charges as integrals over densitiesParticle Physics - TheoryFor a conserved local current delta /sup mu /j/sub mu /(x)=0 it is shown that the matrix elements ( Psi , j/sub 0/(f/sub r/) Phi ) between localized states Psi and Phi of the smoothed integral integral j/sub 0/(x)f/sub r/(x)d/sup 4/x of the 'charge' density j/sub 0/(x) converge to the corresponding ones ( Psi , Q Phi ) of the associated global 'charge' Q whenever the latter exists, i.e. if the corresponding symmetry is not spontaneously broken. No assumptions about a gap in the energy-momentum spectrum are made. (10 refs).CERN-TH-1437oai:cds.cern.ch:8756421972
spellingShingle Particle Physics - Theory
Maison, H D
Global charges as integrals over densities
title Global charges as integrals over densities
title_full Global charges as integrals over densities
title_fullStr Global charges as integrals over densities
title_full_unstemmed Global charges as integrals over densities
title_short Global charges as integrals over densities
title_sort global charges as integrals over densities
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/BF02728884
http://cds.cern.ch/record/875642
work_keys_str_mv AT maisonhd globalchargesasintegralsoverdensities