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

Gómez Nicola, A.; Ruiz de Elvira, J.; Vioque-Rodríguez, A.; Álvarez-Herrero, D. (2021). The role of strangeness in chiral and U(1)_A restoration. The European physical journal. C, Particles and fields, 81(7), p. 637. Springer 10.1140/epjc/s10052-021-09458-1

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We use recently derived Ward identities and lattice
data for the light- and strange-quark condensates to
reconstruct the scalar and pseudoscalar susceptibilities (χκ
S ,
χK
P ) in the isospin 1/2 channel. We show that χκ
S develops
a maximum above the QCD chiral transition, after which it
degenerates with χK
P . We also obtain χκ
S 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 πK scattering. Such UChPT result reproduces the
expected peak structure, revealing the importance of thermal
interactions, and makes it possible to examine the χκ
S dependence
on the light- and strange-quark masses. A consistent
picture emerges controlled by the ml/ms 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.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Ruiz de Elvira Carrascal, Jacobo

Subjects:

500 Science > 530 Physics

ISSN:

1434-6044

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

29 Dec 2021 13:49

Last Modified:

05 Dec 2022 15:55

Publisher DOI:

10.1140/epjc/s10052-021-09458-1

ArXiv ID:

2012.12279

BORIS DOI:

10.48350/161971

URI:

https://boris.unibe.ch/id/eprint/161971

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