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An effective Lagrangian with no U(1) problem in CP$^{n-1}$ models and QCD

The author writes an effective lagrangian which gives two-point Green's functions satisfying the anomalous Ward identities for the U (1) axial vector current with a singlet particle that has a non- vanishing mass in the chiral limit. It is shown that the mechanism that has been postulated by Wi...

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Autor principal: Di Vecchia, P
Lenguaje:eng
Publicado: 1979
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(79)91271-1
http://cds.cern.ch/record/133297
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author Di Vecchia, P
author_facet Di Vecchia, P
author_sort Di Vecchia, P
collection CERN
description The author writes an effective lagrangian which gives two-point Green's functions satisfying the anomalous Ward identities for the U (1) axial vector current with a singlet particle that has a non- vanishing mass in the chiral limit. It is shown that the mechanism that has been postulated by Witten (1979) and Veneziano (1979) for solving the U(1) problem in the framework of the 1/n expansion in QCD is fully active in the two-dimensional CP/sup n-1/ model where the 1/n expansion can be explicitly performed. (6 refs).
id cern-133297
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1979
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spelling cern-1332972019-09-30T06:29:59Zdoi:10.1016/0370-2693(79)91271-1http://cds.cern.ch/record/133297engDi Vecchia, PAn effective Lagrangian with no U(1) problem in CP$^{n-1}$ models and QCDParticle Physics - TheoryThe author writes an effective lagrangian which gives two-point Green's functions satisfying the anomalous Ward identities for the U (1) axial vector current with a singlet particle that has a non- vanishing mass in the chiral limit. It is shown that the mechanism that has been postulated by Witten (1979) and Veneziano (1979) for solving the U(1) problem in the framework of the 1/n expansion in QCD is fully active in the two-dimensional CP/sup n-1/ model where the 1/n expansion can be explicitly performed. (6 refs).CERN-TH-2680oai:cds.cern.ch:1332971979-05-28
spellingShingle Particle Physics - Theory
Di Vecchia, P
An effective Lagrangian with no U(1) problem in CP$^{n-1}$ models and QCD
title An effective Lagrangian with no U(1) problem in CP$^{n-1}$ models and QCD
title_full An effective Lagrangian with no U(1) problem in CP$^{n-1}$ models and QCD
title_fullStr An effective Lagrangian with no U(1) problem in CP$^{n-1}$ models and QCD
title_full_unstemmed An effective Lagrangian with no U(1) problem in CP$^{n-1}$ models and QCD
title_short An effective Lagrangian with no U(1) problem in CP$^{n-1}$ models and QCD
title_sort effective lagrangian with no u(1) problem in cp$^{n-1}$ models and qcd
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(79)91271-1
http://cds.cern.ch/record/133297
work_keys_str_mv AT divecchiap aneffectivelagrangianwithnou1problemincpn1modelsandqcd
AT divecchiap effectivelagrangianwithnou1problemincpn1modelsandqcd