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Scalar susceptibilities and four-quark condensates in the meson gas within chiral perturbation theory

dc.contributor.authorGómez Nicola, Ángel
dc.contributor.authorPeláez Sagredo, José Ramón
dc.contributor.authorRuiz De Elvira Carrascal, Jacobo
dc.date.accessioned2023-06-19T14:54:00Z
dc.date.available2023-06-19T14:54:00Z
dc.date.issued2013-01-02
dc.description© 2013 American Physical Society. This work was partially supported by the Spanish Research Contracts No. FIS2008- 01323 and No. FPA201127853-C02-02. We acknowledge the support of the European Community-Research Infrastructure Integrating Activity "Study of Strongly Interacting Matter'' (acronym HadronPhysics2, Grant Agreement No. 227431) under the Seventh Framework Programme of EU.
dc.description.abstractWe analyze the properties of four-quark condensates and scalar susceptibilities in the meson gas, within finite temperature chiral perturbation theory (ChPT). The breaking of the factorization hypothesis does not allow for a finite four-quark condensate and its use as an order parameter, except in the chiral limit. This is rigorously obtained within ChPT and is therefore a model-independent result. Factorization only holds formally in the large N-c limit and breaks up at finite temperature even in the chiral limit. Nevertheless, the factorization breaking terms are precisely those needed to yield a finite scalar susceptibility, deeply connected to chiral symmetry restoration. Actually, we provide the full result for the SU(3) quark condensate to next-to-next-to- leading order in ChPT, thus extending previous results to include kaon and eta interactions. This allows us to check the effect of those corrections compared to previous approaches and the uncertainties due to low-energy constants. We provide a detailed analysis of scalar susceptibilities in the SU(3) meson gas, including a comparison between the pure ChPT approach and the virial expansion, where the unitarization of pion scattering is crucial to achieve a more reliable prediction. Through the analysis of the interactions within this approach, we have found that the role of the sigma resonance is largely canceled with the scalar isospin two-channel interaction, leaving the rho(770) as the main contribution. Special attention is paid to the evolution towards chiral restoration, as well as to the comparison with recent lattice analysis. DOI: 10.1103/PhysRevD.87.016001
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. FP7
dc.description.sponsorshipSpanish Research
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30152
dc.identifier.doi10.1103/PhysRevD.87.016001
dc.identifier.issn1550-7998
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevD.87.016001
dc.identifier.relatedurlhttp://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/34643
dc.issue.number1
dc.journal.titlePhysical review D
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.projectIDHadronPhysics2 (227431)
dc.relation.projectID(FIS2008-01323)
dc.relation.projectID(FPA201127853-C02-02)
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordQuantum chromodynamics
dc.subject.keywordQuark condensate
dc.subject.keywordPhase-transition
dc.subject.keywordResonance gas
dc.subject.keywordLattice qcd
dc.subject.keywordMass
dc.subject.keywordModel
dc.subject.keywordTemperature
dc.subject.keywordScattering
dc.subject.keywordSymmetry
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleScalar susceptibilities and four-quark condensates in the meson gas within chiral perturbation theory
dc.typejournal article
dc.volume.number87
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