Numerical analysis of a baryon and its dilatation modes in holographic QCD
arXiv:2307.16590 · doi:10.1103/PhysRevD.109.014030
Abstract
We investigate a baryon and its dilatation modes in holographic QCD based on the Sakai-Sugimoto model, which is expressed as a 1+4 dimensional U() gauge theory in the flavor space. For spatially rotational symmetric systems, we apply a generalized version of the Witten Ansatz, and reduce 1+4 dimensional holographic QCD into a 1+2 dimensional Abelian Higgs theory in a curved space. In the reduced theory, the holographic baryon is described as a two-dimensional topological object of an Abrikosov vortex. We numerically calculate the baryon solution of holographic QCD using a fine and large lattice with spacing of 0.04 fm and size of 10 fm. Using the relation between the baryon size and the zero-point location of the Higgs field in the description with the Witten Ansatz, we investigate a various-size baryon through this vortex description. As time-dependent size-oscillation modes (dilatation modes) of a baryon, we numerically obtain the lowest excitation energy of 577 MeV and deduce the dilatational excitation of a nucleon to be the Roper resonance N(1440).
arXiv comment22 pages, 14 figures
References in corpus (22)
- Dirichlet-Branes and Ramond-Ramond Charges
- Low energy hadron physics in holographic QCD
- QCD and a Holographic Model of Hadrons
- Adding flavor to AdS/CFT
- More on a holographic dual of QCD
- Baryons And Branes In Anti de Sitter Space
- Towards a holographic dual of large-N_c QCD
- Baryons from instantons in holographic QCD
- Chiral Dynamics of Baryons from String Theory
- Holographic Baryons : Static Properties and Form Factors from Gauge/String Duality
- Dynamics of Baryons from String Theory and Vector Dominance
- Baryons in Holographic QCD
- Roper Resonance and S_{11}(1535) from Lattice QCD
- Nuclear Force from String Theory
- The Sakai-Sugimoto soliton
- Brane-induced Skyrmion on S^3: baryonic matter in holographic QCD
- Long-distance properties of baryons in the Sakai-Sugimoto model
- Even parity excitations of the nucleon in lattice QCD
- Holographic Baryons from Oblate Instantons
- Topological Objects in Holographic QCD
- Holographic QCD for H-dibaryon (uuddss)
- A Study of the H-dibaryon in Holographic QCD