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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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Lenguaje: | eng |
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1972
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Acceso en línea: | https://dx.doi.org/10.1007/BF02728884 http://cds.cern.ch/record/875642 |
_version_ | 1780907858633687040 |
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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 |
record_format | invenio |
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 |