Vafa-Witten theorem and Lee-Yang singularities

We show the absence of Lee-Yang singularities in the partition function of QCD close to the CP symmetric point theta=0 in the complex theta plane. Analyticity of the theta vacuum energy density at theta=0 provides a key missing link in the Vafa-Witten proof of absence of spontaneous breaking of pari...

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Detalles Bibliográficos
Autores principales: Aguado, Miguel, Asorey, M.
Lenguaje:eng
Publicado: 2002
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.80.127702
http://cds.cern.ch/record/547282
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author Aguado, Miguel
Asorey, M.
author_facet Aguado, Miguel
Asorey, M.
author_sort Aguado, Miguel
collection CERN
description We show the absence of Lee-Yang singularities in the partition function of QCD close to the CP symmetric point theta=0 in the complex theta plane. Analyticity of the theta vacuum energy density at theta=0 provides a key missing link in the Vafa-Witten proof of absence of spontaneous breaking of parity symmetry in vector-like gauge theories. The result follows from renormalizability, unitarity, positivity and existence of BPS bounds. Generalisations of this theorem to other physical systems are also discussed with particular interest focused on the non-linear CP^N sigma model.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
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spelling cern-5472822023-03-20T10:19:37Zdoi:10.1103/PhysRevD.80.127702http://cds.cern.ch/record/547282engAguado, MiguelAsorey, M.Vafa-Witten theorem and Lee-Yang singularitiesParticle Physics - TheoryWe show the absence of Lee-Yang singularities in the partition function of QCD close to the CP symmetric point theta=0 in the complex theta plane. Analyticity of the theta vacuum energy density at theta=0 provides a key missing link in the Vafa-Witten proof of absence of spontaneous breaking of parity symmetry in vector-like gauge theories. The result follows from renormalizability, unitarity, positivity and existence of BPS bounds. Generalisations of this theorem to other physical systems are also discussed with particular interest focused on the non-linear CP^N sigma model.We show the absence of Lee-Yang singularities in the partition function of QCD close to the CP symmetric point theta=0 in the complex theta plane. Analyticity of the theta vacuum energy density at theta=0 provides a key missing link in the Vafa-Witten proof of absence of spontaneous breaking of parity symmetry in vector-like gauge theories. The result follows from renormalizability, unitarity, positivity and existence of BPS bounds. Generalisations of this theorem to other physical systems are also discussed with particular interest focused on the non-linear CP^N sigma model.hep-th/0204130oai:cds.cern.ch:5472822002-04-16
spellingShingle Particle Physics - Theory
Aguado, Miguel
Asorey, M.
Vafa-Witten theorem and Lee-Yang singularities
title Vafa-Witten theorem and Lee-Yang singularities
title_full Vafa-Witten theorem and Lee-Yang singularities
title_fullStr Vafa-Witten theorem and Lee-Yang singularities
title_full_unstemmed Vafa-Witten theorem and Lee-Yang singularities
title_short Vafa-Witten theorem and Lee-Yang singularities
title_sort vafa-witten theorem and lee-yang singularities
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.80.127702
http://cds.cern.ch/record/547282
work_keys_str_mv AT aguadomiguel vafawittentheoremandleeyangsingularities
AT asoreym vafawittentheoremandleeyangsingularities

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