Abstract
We introduce the strange quark mass to the Sakai–Sugimoto model of holographic QCD. We compute mass shifts in the spectra of three-flavor baryons at the leading order in perturbation in quark masses. Comparison with experimental data shows an agreement only qualitatively.
Highlights
∗e-mail: koji@riken.jp †e-mail: norihiro.iizuka@cern.ch ‡e-mail: ishiitk@riken.jp §e-mail: kadoh@riken.jp In Section 2, we briefly review computation of the baryon mass shift in the case of two flavors [13], with giving a brief summary of necessary ingredients in this paper
We begin with the action of the Sakai-Sugimoto model, introduce the quark masses, give the baryon configuration, and after these preparation we compute the baryon mass shift of two-flavor baryons
We find that the mass shift of the baryon depends on its spin as well as the quantum number of its radial excitation, which was missing in [13]
Summary
For our computation of the mass shift of the baryons for three flavors in Section 3, here we give a brief summary of necessary ingredients, by reviewing [13]. Connecting the D8- and D8-branes corresponds to breaking the chiral symmetry in the model, and the worldsheet instanton amplitude induces a quark mass term, which breaks the chiral symmetry at the Lagrangian level. At the leading order in the quark mass, a classical shift of the baryon mass is given by δM = − d3x δL[Acl],. To obtain the baryon mass shift for a given quantum state of the baryon, we use the formula (2.18) with n = 3 and rewrite κ in terms of fπ as κ = πfπ2/4, ρ3 nρ=0,l. The worldsheet instantons in Sakai-Sugimoto model predict that the mass shift of the delta baryon is around 1.5 times larger than that of the nucleon and the proton, at the leading order in expansion in pion mass. The result (2.22) is consistent with values obtained in chiral extrapolation of results of lattice QCD [14, 15, 16, 17]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
