Running anomalous dimensions in holographic QCD: from the proton to the sexaquark

Abstract

In holographic models of QCD, the running of the anomalous dimension of the quark bilinear operator leads to chiral symmetry breaking when gamma=1 and the Breitenlohner-Freedman bound is violated. In that case, the running drives the sigma meson mass tachyonic inducing the chiral symmetry breaking. Here we include the running anomalous dimension in the computation of the spectrum of bound states associated with other operators made of light quarks, such as the nucleon and exotic sexaquark states. We show that including the one loop gauge theory running can have substantial effects on the predictions. For example, the nucleon mass to rho mass ratio is improved and lies much closer to the observed value. A similar result is obtained for the Lambda and Xi baryons when strange quarks are included. A uuddss sexaquark state with a low enough mass to make it stable can be achieved, but this depends on the input assumptions about the running dimension.

8 pages, 3 figures

References in corpus (3)

• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Gauge/gravity dual dynamics for the strongly coupled sector of composite Higgs models
• Holographic heavy-light mesons from non-Abelian DBI

Cited by in corpus (4)

• On the cosmology and terrestrial signals of sexaquark dark matter
• Observational Probes of the Neutron Star Equation of State with Hyperons, Bosonic Dark Matter, and Quark Matter
• Probing Strange Dark Matter through $f$-mode Oscillations of Neutron Stars with Hyperons and Quark Matter
• Non-Thermal Production of Sexaquark Dark Matter