The role of strangeness in chiral and U(1)A restoration

We use recently derived Ward identities and lattice data for the light- and strange-quark condensates to reconstruct the scalar and pseudoscalar susceptibilities ( χ S κ , χ P K ) in the isospin 1/2 channel. We show that χ S κ develops a maximum above the QCD chiral transition, after which it degene...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2021-07, Vol.81 (7), p.637, Article 637
Main Authors: Gómez Nicola, A., Ruiz de Elvira, J., Vioque-Rodríguez, A., Álvarez-Herrero, D.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Chiral dynamics
Condensates
Degeneration
Elementary Particles
Flavor (particle physics)
Hadrons
Heavy Ions
Light
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Perturbation theory
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quarks
Regular Article - Theoretical Physics
Restoration
Simulation
Strangeness
String Theory
Symmetry
Theoretical physics
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Summary:We use recently derived Ward identities and lattice data for the light- and strange-quark condensates to reconstruct the scalar and pseudoscalar susceptibilities ( χ S κ , χ P K ) in the isospin 1/2 channel. We show that χ S κ develops a maximum above the QCD chiral transition, after which it degenerates with χ P K . We also obtain χ S κ within Unitarized Chiral Perturbation Theory (UChPT) at finite temperature, when it is saturated with the K 0 ∗ ( 700 ) (or κ ) meson, the dominant lowest-energy state in the isospin 1/2 scalar channel of π K scattering. Such UChPT result reproduces the expected peak structure, revealing the importance of thermal interactions, and makes it possible to examine the χ S κ dependence on the light- and strange-quark masses. A consistent picture emerges controlled by the m l / m s ratio that allows one studying K - κ degeneration in the chiral, two-flavor and SU (3) limits. These results provide an alternative sign for O ( 4 ) × U ( 1 ) A restoration that can be explored in lattice simulations and highlight the role of strangeness, which regulated by the strange-quark condensate helps to reconcile the current tension among lattice results regarding U ( 1 ) A restoration.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-021-09458-1