Baryons and the Chern-Simons term in holographic QCD with three flavors
arXiv:0710.2579 · doi:10.1143/PTP.119.461
Abstract
We study dynamical baryons in the holographic QCD model of Sakai and Sugimoto in the case of three flavors and 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 the solution. The CS term should give rise to a first class constraint which selects baryon states with right spins. However, the original CS term written in terms of the CS 5-form does not work. We instead propose a new CS term which is gauge invariant and is given as an integral over a six dimensional space having as its boundary the original five dimensional spacetime of the holographic model. Collective coordinate quantization using our new CS term leads to correct baryon states and their mass formula.
arXiv comment32 pages, 3 figures, v2: references added, minor changes
References in corpus (6)
- Baryons And Branes In Anti de Sitter Space
- Chiral Dynamics of Baryons from String Theory
- Dynamics of Baryons from String Theory and Vector Dominance
- Sakai-Sugimoto model, Tachyon Condensation and Chiral symmetry Breaking
- Holographic QCD and Pion Mass
- Quark Mass in the Sakai-Sugimoto Model of Chiral Symmetry Breaking
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- N-Body Nuclear Forces at Short Distances in Holographic QCD
- Holographic charm and bottom pentaquarks I: Mass spectra with spin effects
- The V-QCD baryon : numerical solution and baryon spectrum
- Tachyon-dependent Chern-Simons terms and the V-QCD Baryon
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- The D4/D8 model and holographic QCD
- Boundary terms in the Witten-Sakai-Sugimoto model at finite density
- Holographic three flavor baryon in the Witten-Sakai-Sugimoto model with the D0-D4 background
- Toward Bound-State Approach to Strangeness in Holographic QCD
- Relativistic Collective Coordinate System of Solitons and Spinning Skyrmion
- Nucleon-Meson Couplings in One Boson Exchange Potential using Non-Critical String Theory
- Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton
- The Holographic Description of Baryon in Non- Critical String Theory
- Corrections to the instanton configuration as baryon in holographic QCD
- Electromagnetic and Axial Current Form Factors and Spectroscopy of Three-Flavor Holographic Baryons
- The worldvolume fermion as baryon in holographic QCD with instanton
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