Pseudoscalar susceptibilities and quark condensates: chiral restoration and lattice screening masses

  • A. Gómez NicolaEmail author
  • J. Ruiz de Elvira
Open Access
Regular Article - Theoretical Physics


We derive the formal Ward identities relating pseudoscalar susceptibilities and quark condensates in three-flavor QCD, including consistently the η-η′ 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 U(3) framework and the large-N c 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.


Chiral Lagrangians Global Symmetries Phase Diagram of QCD Lattice QCD 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Departamento de Física Teórica II, Facultad de Ciencias FísicasUniversidad Complutense de MadridMadridSpain
  2. 2.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical PhysicsUniversität BonnBonnGermany

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