Abstract
We study holographic models of the QCD temperature-chemical potential phase diagram based on the D3/D7 system with chiral symmetry breaking. The baryonic phase may be included through linked D5-D7 systems. In a previous analysis of a model with a running gauge coupling a baryonic phase was shown to exist to arbitrarily large chemical potential. Here we explore this phase in a more generic phenomenological setting with a step function dilaton profile. The change in dilaton generates a linear confining qq potential and opposes the screening effect of temperature. We show that the persistence of the baryonic phase depends on the step size and that QCD-like phase diagrams can be described. The baryonic phase’s existence is qualitatively linked to the existence of confinement in Wilson loop computations in the background.
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References
J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
E. Witten, Baryons And Branes In Anti de Sitter Space, JHEP 07 (1998) 006 [hep-th/9805112] [INSPIRE].
S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large-N gauge theory and anti-de Sitter supergravity, Eur. Phys. J. C 22 (2001) 379 [hep-th/9803001] [INSPIRE].
J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [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].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [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].
L. Da Rold and A. Pomarol, Chiral symmetry breaking from five dimensional spaces, Nucl. Phys. B 721 (2005) 79 [hep-ph/0501218] [INSPIRE].
G. Policastro, D. Son and A. Starinets, The Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [INSPIRE].
J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in Gauge/Gravity Duals - A Review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [INSPIRE].
J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge/String Duality, Hot QCD and Heavy Ion Collisions, arXiv:1101.0618 [INSPIRE].
N. Evans, A. Gebauer, M. Magou and K.-Y. Kim, Towards a Holographic Model of the QCD Phase Diagram, J. Phys. G 39 (2012) 054005 [arXiv:1109.2633] [INSPIRE].
B. Gwak, M. Kim, B.-H. Lee, Y. Seo and S.-J. Sin, Holographic D Instanton Liquid and chiral transition, Phys. Rev. D 86 (2012) 026010 [arXiv:1203.4883] [INSPIRE].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].
M. Graña and J. Polchinski, Gauge/gravity duals with holomorphic dilaton, Phys. Rev. D 65 (2002) 126005 [hep-th/0106014] [INSPIRE].
M. Bertolini, P. Di Vecchia, M. Frau, A. Lerda and R. Marotta, N = 2 gauge theories on systems of fractional D3/D7 branes, Nucl. Phys. B 621 (2002) 157 [hep-th/0107057] [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].
V.G. Filev, C.V. Johnson, R. Rashkov and K. Viswanathan, Flavoured large-N gauge theory in an external magnetic field, JHEP 10 (2007) 019 [hep-th/0701001] [INSPIRE].
N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory, JHEP 03 (2010) 132 [arXiv:1002.1885] [INSPIRE].
K. Peeters, J. Sonnenschein and M. Zamaklar, Holographic melting and related properties of mesons in a quark gluon plasma, Phys. Rev. D 74 (2006) 106008 [hep-th/0606195] [INSPIRE].
C. Hoyos-Badajoz, K. Landsteiner and S. Montero, Holographic meson melting, JHEP 04 (2007) 031 [hep-th/0612169] [INSPIRE].
K. Jensen, A. Karch and E.G. Thompson, A Holographic Quantum Critical Point at Finite Magnetic Field and Finite Density, JHEP 05 (2010) 015 [arXiv:1002.2447] [INSPIRE].
K. Jensen, A. Karch, D.T. Son and E.G. Thompson, Holographic Berezinskii-Kosterlitz-Thouless Transitions, Phys. Rev. Lett. 105 (2010) 041601 [arXiv:1002.3159] [INSPIRE].
V.G. Filev and R.C. Raskov, Magnetic Catalysis of Chiral Symmetry Breaking. A Holographic Prospective, Adv. High Energy Phys. 2010 (2010) 473206 [arXiv:1010.0444] [INSPIRE].
N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Phase diagram of the D3/D5 system in a magnetic field and a BKT transition, Phys. Lett. B 698 (2011) 91 [arXiv:1003.2694] [INSPIRE].
N. Evans, T. Kalaydzhyan, K.-y. Kim and I. Kirsch, Non-equilibrium physics at a holographic chiral phase transition, JHEP 01 (2011) 050 [arXiv:1011.2519] [INSPIRE].
N. Evans, A. Gebauer and K.-Y. Kim, E, B, μ, T Phase Structure of the D3/D7 Holographic Dual, JHEP 05 (2011) 067 [arXiv:1103.5627] [INSPIRE].
N. Evans, K.-Y. Kim, J.P. Shock and J.P. Shock, Chiral phase transitions and quantum critical points of the D3/D7(D5) system with mutually perpendicular E and B fields at finite temperature and density, JHEP 09 (2011) 021 [arXiv:1107.5053] [INSPIRE].
N. Evans, K.-Y. Kim and M. Magou, Holographic Wilsonian Renormalization and Chiral Phase Transitions, Phys. Rev. D 84 (2011) 126016 [arXiv:1107.5318] [INSPIRE].
E. Witten, Baryons and branes in anti-de Sitter space, JHEP 07 (1998) 006 [hep-th/9805112] [INSPIRE].
C.G. Callan Jr., A. Guijosa, K.G. Savvidy and O. Tafjord, Baryons and flux tubes in confining gauge theories from brane actions, Nucl. Phys. B 555 (1999) 183 [hep-th/9902197] [INSPIRE].
Y. Seo and S.-J. Sin, Baryon Mass in medium with Holographic QCD, JHEP 04 (2008) 010 [arXiv:0802.0568] [INSPIRE].
Y. Kim, Y. Seo, I.J. Shin and S.-J. Sin, Holographic Meson Mass in Asymmetric Dense Matter, arXiv:1108.2751 [INSPIRE].
K. Jo, M. Rho, Y. Seo and S.-J. Sin, The Dropping of In-Medium Hadron Mass in Holographic QCD, JHEP 07 (2011) 008 [arXiv:1104.2362] [INSPIRE].
Y. Seo, J.P. Shock, S.-J. Sin and D. Zoakos, Holographic Hadrons in a Confining Finite Density Medium, JHEP 03 (2010) 115 [arXiv:0912.4013] [INSPIRE].
O. Bergman, G. Lifschytz and M. Lippert, Holographic Nuclear Physics, JHEP 11 (2007) 056 [arXiv:0708.0326] [INSPIRE].
S. Nakamura, Y. Seo, S.-J. Sin and K. Yogendran, A New Phase at Finite Quark Density from AdS/CFT, J. Korean Phys. Soc. 52 (2008) 1734 [hep-th/0611021] [INSPIRE].
S. Nakamura, Y. Seo, S.-J. Sin and K. Yogendran, Baryon-charge Chemical Potential in AdS/CFT, Prog. Theor. Phys. 120 (2008) 51 [arXiv:0708.2818] [INSPIRE].
K.-Y. Kim, S.-J. Sin and I. Zahed, Dense hadronic matter in holographic QCD, hep-th/0608046 [INSPIRE].
K.-Y. Kim, S.-J. Sin and I. Zahed, The Chiral Model of Sakai-Sugimoto at Finite Baryon Density, JHEP 01 (2008) 002 [arXiv:0708.1469] [INSPIRE].
S. Aoki, K. Hashimoto and N. Iizuka, Matrix Theory for Baryons: An Overview of Holographic QCD for Nuclear Physics, arXiv:1203.5386 [INSPIRE].
S.-J. Rey, S. Theisen and J.-T. Yee, Wilson-Polyakov loop at finite temperature in large-N gauge theory and anti-de Sitter supergravity, Nucl. Phys. B 527 (1998) 171 [hep-th/9803135] [INSPIRE].
A. Brandhuber, N. Itzhaki, J. Sonnenschein and S. Yankielowicz, Wilson loops in the large-N limit at finite temperature, Phys. Lett. B 434 (1998) 36 [hep-th/9803137] [INSPIRE].
K. Ghoroku, T. Sakaguchi, N. Uekusa and M. Yahiro, Flavor quark at high temperature from a holographic model, Phys. Rev. D 71 (2005) 106002 [hep-th/0502088] [INSPIRE].
D. Bak, A. Karch and L.G. Yaffe, Debye screening in strongly coupled N = 4 supersymmetric Yang-Mills plasma, JHEP 08 (2007) 049 [arXiv:0705.0994] [INSPIRE].
R. Alvares, N. Evans and K.-Y. Kim, Holography of the Conformal Window, Phys. Rev. D 86 (2012) 026008 [arXiv:1204.2474] [INSPIRE].
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Evans, N., Kim, KY., Magou, M. et al. The baryonic phase in holographic descriptions of the QCD phase diagram. J. High Energ. Phys. 2012, 45 (2012). https://doi.org/10.1007/JHEP09(2012)045
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DOI: https://doi.org/10.1007/JHEP09(2012)045