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Dynamical holographic QCD model for spontaneous chiral symmetry breaking and confinement

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Author(s):
Ballon-Bayona, Alfonso ; Frederico, Tobias ; Mamani, Luis A. H. ; de Paula, Wayne
Total Authors: 4
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 108, n. 10, p. 21-pg., 2023-11-20.
Abstract

In this paper, we present a holographic realization of spontaneous chiral symmetry breaking and confinement. The latter is realized by building a solution of 5D Einstein-dilaton gravity leading to a confining quark antiquark potential. The 4D currents and the quark mass operator associated with chiral symmetry breaking and creation of meson states are mapped to 5D fields whose dynamics is given by a non-Abelian Higgs action. We introduce a nonminimal dilaton coupling to the tachyon potential which has two parameters, one of them controlling the presence or absence of spontaneous chiral symmetry breaking and the other controlling the sign of the quark condensate as the quark mass grows. We calculate the masses of vector, scalar, axial-vector, and pseudoscalar mesons, focusing on the effect of chiral symmetry breaking on the spectrum. In the chiral limit we identify the emergence of a massless state in the pseudoscalar meson spectrum, i.e., the pion. We calculate all meson decay constants and confirm that the pion satisfies the Gell-Mann-Oakes relation in the light quark regime. (AU)

FAPESP's process: 19/07767-1 - Nuclear reactions with weakly-bound or cluster-structured radioactive and stable nuclei
Grantee:Leandro Romero Gasques
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
Grantee:Brett Vern Carlson
Support Opportunities: Research Projects - Thematic Grants