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Phase structure in a dynamical soft-wall holographic QCD model

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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. The kinetic gauge function can be fixed by requesting the linear Regge spectrum of mesons. We calculate the free energy to obtain the phase diagram of the holographic QCD model and interpret our result as the heavy quarks system by comparing the recent lattice QCD simulation. We finally obtain the equations of state in our model.

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References

  1. O. Philipsen, Lattice QCD at non-zero temperature and baryon density, arXiv:1009.4089 [INSPIRE].

  2. 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].

    MathSciNet  ADS  Google Scholar 

  3. 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].

    Article  ADS  Google Scholar 

  4. 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].

    Article  MathSciNet  ADS  Google Scholar 

  5. 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].

    Article  MathSciNet  ADS  Google Scholar 

  6. T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  7. T. Sakai and S. Sugimoto, More on a holographic dual of QCD, Prog. Theor. Phys. 114 (2005) 1083 [hep-th/0507073] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  8. 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].

    Article  ADS  Google Scholar 

  9. 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].

    ADS  Google Scholar 

  10. B. Batell and T. Gherghetta, Dynamical soft-wall AdS/QCD, Phys. Rev. D 78 (2008) 026002 [arXiv:0801.4383] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  11. 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].

    ADS  Google Scholar 

  12. 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].

    ADS  Google Scholar 

  13. O. DeWolfe, S.S. Gubser and C. Rosen, A holographic critical point, Phys. Rev. D 83 (2011) 086005 [arXiv:1012.1864] [INSPIRE].

    ADS  Google Scholar 

  14. 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].

    ADS  Google Scholar 

  15. B. Galow, E. Megias, J. Nian and H. Pirner, Phenomenology of AdS/QCD and its gravity dual, Nucl. Phys. B 834 (2010) 330 [arXiv:0911.0627] [INSPIRE].

    Article  ADS  Google Scholar 

  16. E. Megias, H. Pirner and K. Veschgini, QCD thermodynamics using five-dimensional gravity, Phys. Rev. D 83 (2011) 056003 [arXiv:1009.2953] [INSPIRE].

    ADS  Google Scholar 

  17. U. Gürsoy, E. Kiritsis, L. Mazzanti, G. Michalogiorgakis and F. Nitti, Improved holographic QCD, Lect. Notes Phys. 828 (2011) 79 [arXiv:1006.5461] [INSPIRE].

    Article  ADS  Google Scholar 

  18. 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].

    Article  ADS  Google Scholar 

  19. 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].

    Article  ADS  Google Scholar 

  20. 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].

    Article  ADS  Google Scholar 

  21. M. Shifman, Highly excited hadrons in QCD and beyond, hep-ph/0507246 [INSPIRE].

  22. C. Park, D.-Y. Gwak, B.-H. Lee, Y. Ko and S. Shin, The soft wall model in the hadronic medium, Phys. Rev. D 84 (2011) 046007 [arXiv:1104.4182] [INSPIRE].

    ADS  Google Scholar 

  23. Y. Kim, J.-P. Lee and S.H. Lee, Heavy quarkonium in a holographic QCD model, Phys. Rev. D 75 (2007) 114008 [hep-ph/0703172] [INSPIRE].

    ADS  Google Scholar 

  24. M. Fujita, K. Fukushima, T. Misumi and M. Murata, Finite-temperature spectral function of the vector mesons in an AdS/QCD model, Phys. Rev. D 80 (2009) 035001 [arXiv:0903.2316] [INSPIRE].

    ADS  Google Scholar 

  25. M. Fujita, T. Kikuchi, K. Fukushima, T. Misumi and M. Murata, Melting spectral functions of the scalar and vector mesons in a holographic QCD model, Phys. Rev. D 81 (2010) 065024 [arXiv:0911.2298] [INSPIRE].

    ADS  Google Scholar 

  26. L.-X. Cui, S. Takeuchi and Y.-L. Wu, Quark number susceptibility and QCD phase transition in the predictive soft-wall AdS/QCD model with finite temperature, Phys. Rev. D 84 (2011) 076004 [arXiv:1107.2738] [INSPIRE].

    ADS  Google Scholar 

  27. 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].

    Article  ADS  Google Scholar 

  28. F. Giannuzzi, Holographic vector mesons in a hot and dense medium, arXiv:1209.4198 [INSPIRE].

  29. U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Holography and thermodynamics of 5D dilaton-gravity, JHEP 05 (2009) 033 [arXiv:0812.0792] [INSPIRE].

    Article  Google Scholar 

  30. 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].

    Article  ADS  Google Scholar 

  31. P. de Forcrand and O. Philipsen, The chiral critical line of N f = 2 + 1 QCD at zero and non-zero baryon density, JHEP 01 (2007) 077 [hep-lat/0607017] [INSPIRE].

    Article  Google Scholar 

  32. WHOT-QCD collaboration, H. Saito et al., The order of the deconfinement phase transition in a heavy quark mass region, PoS(LATTICE 2010)212 [arXiv:1011.4747] [INSPIRE].

  33. WHOT-QCD collaboration, H. Saito et al., Phase structure of finite temperature QCD in the heavy quark region, Phys. Rev. D 84 (2011) 054502 [Erratum ibid. D 85 (2012) 079902] [arXiv:1106.0974] [INSPIRE].

  34. WHOT-QCD collaboration, H. Saito et al., Finite density QCD phase transition in the heavy quark region, PoS(LATTICE 2011)214 [arXiv:1202.6113] [INSPIRE].

  35. M. Fromm, J. Langelage, S. Lottini, M. Neuman and O. Philipsen, The silver blaze property for QCD with heavy quarks from the lattice, arXiv:1207.3005 [INSPIRE].

  36. M. Fromm, J. Langelage, S. Lottini, M. Neuman and O. Philipsen, Phase transitions in heavy-quark QCD from an effective theory, arXiv:1210.7994 [INSPIRE].

  37. R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 (1993) 2837 [hep-th/9301052] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. R. Gregory and R. Laflamme, The instability of charged black strings and p-branes, Nucl. Phys. B 428 (1994) 399 [hep-th/9404071] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  39. S.S. Gubser and I. Mitra, Instability of charged black holes in anti-de Sitter space, hep-th/0009126 [INSPIRE].

  40. 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].

    Article  MathSciNet  ADS  Google Scholar 

  41. H.S. Reall, Classical and thermodynamic stability of black branes, Phys. Rev. D 64 (2001) 044005 [hep-th/0104071] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  42. S. Borsányi et al., QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu 2, JHEP 08 (2012) 053 [arXiv:1204.6710] [INSPIRE].

    Article  ADS  Google Scholar 

  43. A. Stoffers and I. Zahed, Improved AdS/QCD model with matter, Phys. Rev. D 83 (2011) 055016 [arXiv:1009.4428] [INSPIRE].

    ADS  Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Science, No. 55 Zhongguancun East Road, Beijing, 100190, P.R.C.

    Song He

  2. Institute of Physics, National Chiao Tung University, 1001 University Street, Hsinchu, R.O.C.

    Shang-Yu Wu & Pei-Hung Yuan

  3. Department of Electrophysics, National Chiao Tung University, National Center for Theoretical Science, 1001 University Street, Hsinchu, R.O.C.

    Yi Yang

Authors
  1. Song He
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  2. Shang-Yu Wu
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  4. Pei-Hung Yuan
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Correspondence to Yi Yang.

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He, S., Wu, SY., Yang, Y. et al. Phase structure in a dynamical soft-wall holographic QCD model. J. High Energ. Phys. 2013, 93 (2013). https://doi.org/10.1007/JHEP04(2013)093

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  • DOI: https://doi.org/10.1007/JHEP04(2013)093

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