2007/10/31 by Hiroyuki Hata, Masaki Murata · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1143/ptp.119.461
published as Prog.Theor.Phys.119:461-490,2008 · 32 pages, 3 figures, v2: references added, minor changes
arxiv created 2007/11/05 · openalex publication_date 2008/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study dynamical baryons in the holographic QCD model of Sakai and Sugimoto in the case of three flavors, with special interest in the construction of the Chern-Simons (CS) term. The baryon classical solution in this model is given by the BPST instanton, and we carry out the collective coordinate quantization of this solution. The CS term should give rise to a first-class constraint which selects baryon states with the correct spins. However, the original CS term written in terms of the CS 5-form does not do so. Considering this fact, we propose a new CS term that is gauge invariant and takes the form of an integral over a six-dimensional space whose boundary is the original five-dimensional spacetime of the holographic model. Collective coordinate quantization using our new CS term leads to the correct baryon states and their mass formula.