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Pseudoscalar susceptibilities and quark condensates: chiral restoration and lattice screening masses Gómez Nicola, Ángel Ruiz De Elvira Carrascal, Jacobo 51-73 Large-n-c Perturbation-theory Phase-transition Strange quark Light quarks Symmetry Dynamics QCD Chromodynamics Fermions Física (Física) 22 Física Open Access, © The Authors, 2016. Article funded by SCOAP3. © Int School Advanced Studies. We thank Z.H. Guo for helpful discussions. Work partially supported by research contracts FPA2011-27853-C02-02 (spanish “Ministerio de Ciencia e Innovación"), FPA2014-53375- C2-2-P (spanish “Ministerio de Economía y Competitividad"). We also acknowledge the support of the EU FP7 HadronPhysics3 project, the Spanish Hadron Excellence Network (spanish “Ministerio de Economía y Competitividad" contract FIS2014-57026-REDT), the DFG (SFB/TR 16, “Subnuclear Structure of Matter") and the UCM-Banco de Santander contract GR3/14 910309. We derive the formal Ward identities relating pseudoscalar susceptibilities and quark condensates in three-flavor QCD, including consistently the 77-n' sector and the U-A(1) anomaly. These identities are verified in the low-energy realization provided by ChPT, both in the standard SU(3) framework for the octet case and combining the use of the SU(3) framework and the large-Nc expansion of QCD to account properly for the nonet sector and anomalous contributions. The analysis is performed including finite temperature corrections as well as the calculation of U(3) quark condensates and all pseudoscalar susceptibilities, which together with the full set of Ward identities, are new results of this work. Finally, the Ward identities are used to derive scaling relations for pseudoscalar masses which explain the behavior with temperature of lattice screening masses near chiral symmetry restoration. Unión Europea. FP7 Ministerio de Ciencia e Innovación (MICINN) Ministerio de Economía y Competitividad (MNECO) Red de Excelencia Física Hadrónica HADROnet = HADRON Spanish Excellence Network (MINECO) Transregionaler Sonderforschungsbereich 16: "Elektromagnetische Anregung subnuklearer Systeme" Universidad de Bonn, Alemania Rheinische Friedrich-Wilhelms-Universität Bonn, Alemania Universidad Complutense de Madrid (UCM) Banco Santander Central Hispano (BSCH) Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-18T06:52:34Z 2023-06-18T06:52:34Z 2016-03-29 journal article https://hdl.handle.net/20.500.14352/24470 1126-6708 10.1007/JHEP03(2016)186 eng HadronPhysics3 (283286) FPA2011-27853-C02-02 FPA2014-53375- C2-2-P FIS2014-57026-REDT GR3/14 910309. Atribución 3.0 España https://creativecommons.org/licenses/by/3.0/es/ open access application/pdf Int School Advanced Studies