Abstract
We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic gauge function and a dilaton potential. A family of analytic solutions is obtained by the potential reconstruction method. We then study its holographic dual QCD model. After fixing the kinetic gauge function by requesting the linear Regge spectrum of mesons, we calculate the free energy to obtain the phase diagram of the holographic QCD model.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
O. Philipsen, Lattice QCD at non-zero temperature and baryon density, arXiv:1009.4089 [INSPIRE].
J. Babington, J. Erdmenger, N.J. Evans, Z. Guralnik and I. Kirsch, Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals, Phys. Rev. D 69 (2004) 066007 [hep-th/0306018] [INSPIRE].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Towards a holographic dual of large-N c QCD, JHEP 05 (2004) 041 [hep-th/0311270] [INSPIRE].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Meson spectroscopy in AdS/CFT with flavor, JHEP 07 (2003) 049 [hep-th/0304032] [INSPIRE].
S. Kobayashi, D. Mateos, S. Matsuura, R.C. Myers and R.M. Thomson, Holographic phase transitions at finite baryon density, JHEP 02 (2007) 016 [hep-th/0611099] [INSPIRE].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [INSPIRE].
T. Sakai and S. Sugimoto, More on a holographic dual of QCD, Prog. Theor. Phys. 114 (2005) 1083 [hep-th/0507073] [INSPIRE].
J. Erlich, E. Katz, D.T. Son and M.A. Stephanov, QCD and a holographic model of hadrons, Phys. Rev. Lett. 95 (2005) 261602 [hep-ph/0501128] [INSPIRE].
A. Karch, E. Katz, D.T. Son and M.A. Stephanov, Linear confinement and AdS/QCD, Phys. Rev. D 74 (2006) 015005 [hep-ph/0602229] [INSPIRE].
B. Batell and T. Gherghetta, Dynamical Soft-Wall AdS/QCD, Phys. Rev. D 78 (2008) 026002 [arXiv:0801.4383] [INSPIRE].
W. de Paula, T. Frederico, H. Forkel and M. Beyer, Dynamical AdS/QCD with area-law confinement and linear Regge trajectories, Phys. Rev. D 79 (2009) 075019 [arXiv:0806.3830] [INSPIRE].
S.S. Gubser and A. Nellore, Mimicking the QCD equation of state with a dual black hole, Phys. Rev. D 78 (2008) 086007 [arXiv:0804.0434] [INSPIRE].
U. Gürsoy, E. Kiritsis, L. Mazzanti, G. Michalogiorgakis and F. Nitti, Improved Holographic QCD, Lect. Notes Phys. 828 (2011) 79 [arXiv:1006.5461] [INSPIRE].
O. DeWolfe, S.S. Gubser and C. Rosen, A holographic critical point, Phys. Rev. D 83 (2011) 086005 [arXiv:1012.1864] [INSPIRE].
O. DeWolfe, S.S. Gubser and C. Rosen, Dynamic critical phenomena at a holographic critical point, Phys. Rev. D 84 (2011) 126014 [arXiv:1108.2029] [INSPIRE].
R.-G. Cai, S. He and D. Li, A hQCD model and its phase diagram in Einstein-Maxwell-Dilaton system, JHEP 03 (2012) 033 [arXiv:1201.0820] [INSPIRE].
D. Li, S. He, M. Huang and Q.-S. Yan, Thermodynamics of deformed AdS 5 model with a positive/negative quadratic correction in graviton-dilaton system, JHEP 09 (2011) 041 [arXiv:1103.5389] [INSPIRE].
R.-G. Cai, S. Chakrabortty, S. He and L. Li, Some aspects of QGP phase in a hQCD model, JHEP 02 (2013) 068 [arXiv:1209.4512] [INSPIRE].
S. He, S.-Y. Wu, Y. Yang and P.-H. Yuan, Phase Structure in a Dynamical Soft-Wall Holographic QCD Model, JHEP 04 (2013) 093 [arXiv:1301.0385] [INSPIRE].
M. Fromm, J. Langelage, S. Lottini and O. Philipsen, The QCD deconfinement transition for heavy quarks and all baryon chemical potentials, JHEP 01 (2012) 042 [arXiv:1111.4953] [INSPIRE].
P. Huovinen and P. Petreczky, QCD Equation of State and Hadron Resonance Gas, Nucl. Phys. A 837 (2010) 26 [arXiv:0912.2541] [INSPIRE].
Particle Data Group collaboration, W.M. Yao et al., Review of Particle Physics, J. Phys. G 33 (2006) 1, and 2007 partial update for the 2008 edition [INSPIRE].
M. Huang, S. He, , Q.-S. Yan and Y. Yang, Confront Holographic QCD with Regge Trajectories, Eur. Phys. J. C 66 (2010) 187 [arXiv:0710.0988] [INSPIRE].
M. Huang, Q.-S. Yan and Y. Yang, Toward a more realistic holographic QCD model, Prog. Theor. Phys. Suppl. 174 (2008) 334 [arXiv:0804.2731] [INSPIRE].
J.M. Pawlowski and F. Rennecke, Higher order quark-mesonic scattering processes and the phase structure of QCD, arXiv:1403.1179 [INSPIRE].
Wuppertal-Budapest collaboration, S. Borsányi et al., Is there still any T c mystery in lattice QCD? Results with physical masses in the continuum limit III, JHEP 09 (2010) 073 [arXiv:1005.3508] [INSPIRE].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Holography and Thermodynamics of 5D Dilaton-gravity, JHEP 05 (2009) 033 [arXiv:0812.0792] [INSPIRE].
R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 (1993) 2837 [hep-th/9301052] [INSPIRE].
R. Gregory and R. Laflamme, The Instability of charged black strings and p-branes, Nucl. Phys. B 428 (1994) 399 [hep-th/9404071] [INSPIRE].
S.S. Gubser and I. Mitra, Instability of charged black holes in Anti-de Sitter space, hep-th/0009126 [INSPIRE].
S.S. Gubser and I. Mitra, The Evolution of unstable black holes in anti-de Sitter space, JHEP 08 (2001) 018 [hep-th/0011127] [INSPIRE].
H.S. Reall, Classical and thermodynamic stability of black branes, Phys. Rev. D 64 (2001) 044005 [hep-th/0104071] [INSPIRE].
S. Borsányi et al., QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order μ 2, JHEP 08 (2012) 053 [arXiv:1204.6710] [INSPIRE].
L.-X. Cui, S. Takeuchi and Y.-L. Wu, Thermal Mass Spectra of Vector and Axial-Vector Mesons in Predictive Soft-Wall AdS/QCD Model, JHEP 04 (2012) 144 [arXiv:1112.5923] [INSPIRE].
F. Giannuzzi, Holographic vector mesons in a hot and dense medium, Nucl. Phys. Proc. Suppl. 234 (2013) 309 [arXiv:1209.4198] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1406.1865
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Yang, Y., Yuan, PH. A refined holographic QCD model and QCD phase structure. J. High Energ. Phys. 2014, 149 (2014). https://doi.org/10.1007/JHEP11(2014)149
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2014)149