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Isospin-breaking quark condensates in chiral perturbation theory

dc.contributor.authorGómez Nicola, Ángel
dc.contributor.authorTorres Andrés, Ricardo
dc.date.accessioned2023-06-20T03:51:07Z
dc.date.available2023-06-20T03:51:07Z
dc.date.issued2012-01
dc.description© IOP Publishing Ltd. We are grateful to J.R.Peláez and E.Ruiz Arriola for useful comments. R.T.A would like to thank Buenaventura Andrés López for invaluable advice. Work partially supported by the Spanish research contracts FPA2008-00592, FIS2008-01323, UCM-Santander 910309 GR58/08, GR35/10-A and the FPI programme (BES-2009-013672).
dc.description.abstractWe analyze the isospin-breaking corrections to quark condensates within one-loop SU(2) and SU(3) chiral perturbation theory including m(u) not equal m(d) as well as electromagnetic (EM) contributions. The explicit expressions are given and several phenomenological aspects are studied. We analyze the sensitivity of recent condensate determinations to the EM low-energy constants (LEC). If the explicit chiral symmetry breaking induced by EM terms generates a ferromagnetic-like response of the vacuum, as in the case of quark masses, the increasing of the order parameter implies constraints for the EM LEC, which we check with different estimates in the literature. In addition, we extend the sum rule relating quark condensate ratios in SU(3) to include EM corrections, which are of the same order as the m(u) not equal m(d) ones, and we use that sum rule to estimate the vacuum asymmetry within ChPT. We also discuss the matching conditions between the SU(2) and SU(3) LEC involved in the condensates, when both isospin-breaking sources are taken into account.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUCM-Santander
dc.description.sponsorshipFPI programme
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30189
dc.identifier.doi10.1088/0954-3899/39/1/015004
dc.identifier.issn0954-3899
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0954-3899/39/1/015004
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/1009.2170
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44557
dc.issue.number1
dc.journal.titleJournal of Physics G-Nuclear and Particle Physics
dc.language.isoeng
dc.publisherIOP Publishing Ltd
dc.relation.projectID910309 GR58/08
dc.relation.projectIDGR35/10-A
dc.relation.projectIDBES-2009-013672
dc.relation.projectIDFPA2008-00592
dc.relation.projectIDFIS2008-01323
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordLow-energy constants
dc.subject.keywordPi-pi scattering
dc.subject.keywordElectromagnetic corrections
dc.subject.keywordVirtual photons
dc.subject.keywordKaon sattering
dc.subject.keywordMagnetic-field
dc.subject.keywordSum-rule
dc.subject.keywordViolation
dc.subject.keywordSymmetry
dc.subject.keywordDecays
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleIsospin-breaking quark condensates in chiral perturbation theory
dc.typejournal article
dc.volume.number39
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