Abstract
Recent lattice simulation has uncovered many interesting properties of SU(N ) gauge theory at finite temperature. Especially, above the deconfinement phase transition all the thermodynamic quantities acquire significant quadratic contributions in inverse temperature. Such a term is also found to dominate the logarithm of the renormalized Polyakov loop. Using the Hawking-Page transition in Anti-de Sitter space as an example, we show how such contributions can be naturally generated in the holographic approach.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. Akhoury and V.I. Zakharov, On nonperturbative corrections to the potential for heavy quarks, Phys. Lett. B 438 (1998) 165 [hep-ph/9710487] [INSPIRE].
K.G. Chetyrkin, S. Narison and V.I. Zakharov, Short distance tachyonic gluon mass and 1/Q 2 corrections, Nucl. Phys. B 550 (1999) 353 [hep-ph/9811275] [INSPIRE].
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].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [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].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
O. Andreev and V.I. Zakharov, Heavy-quark potentials and AdS/QCD, Phys. Rev. D 74 (2006) 025023 [hep-ph/0604204] [INSPIRE].
F. Zuo and T. Huang, Comments on the two-dimensional power correction in the soft wall model, Chin. Phys. Lett. 25 (2008) 3601 [arXiv:0801.1172] [INSPIRE].
P.N. Meisinger, T.R. Miller and M.C. Ogilvie, Phenomenological equations of state for the quark gluon plasma, Phys. Rev. D 65 (2002) 034009 [hep-ph/0108009] [INSPIRE].
G. Boyd et al., Thermodynamics of SU(3) lattice gauge theory, Nucl. Phys. B 469 (1996) 419 [hep-lat/9602007] [INSPIRE].
R.D. Pisarski, Fuzzy Bags and Wilson Lines, Prog. Theor. Phys. Suppl. 168 (2007) 276 [hep-ph/0612191] [INSPIRE].
P. Alba et al., Polyakov loop and gluon quasiparticles: a self-consistent approach to Yang-Mills thermodynamics, arXiv:1402.6213 [INSPIRE].
M. Panero, Thermodynamics of the QCD plasma and the large-N limit, Phys. Rev. Lett. 103 (2009) 232001 [arXiv:0907.3719] [INSPIRE].
A.M. Polyakov, Thermal Properties of Gauge Fields and Quark Liberation, Phys. Lett. B 72 (1978) 477 [INSPIRE].
G. ’t Hooft, On the Phase Transition Towards Permanent Quark Confinement, Nucl. Phys. B 138 (1978) 1 [INSPIRE].
O. Kaczmarek, F. Karsch, P. Petreczky and F. Zantow, Heavy quark anti-quark free energy and the renormalized Polyakov loop, Phys. Lett. B 543 (2002) 41 [hep-lat/0207002] [INSPIRE].
E. Megias, E. Ruiz Arriola and L.L. Salcedo, Dimension two condensates and the Polyakov loop above the deconfinement phase transition, JHEP 01 (2006) 073 [hep-ph/0505215] [INSPIRE].
A. Mykkanen, M. Panero and K. Rummukainen, Casimir scaling and renormalization of Polyakov loops in large-N gauge theories, JHEP 05 (2012) 069 [arXiv:1202.2762] [INSPIRE].
O. Andreev, Some Thermodynamic Aspects of Pure Glue, Fuzzy Bags and Gauge/String Duality, Phys. Rev. D 76 (2007) 087702 [arXiv:0706.3120] [INSPIRE].
O. Andreev, Renormalized Polyakov Loop in the Deconfined Phase of SU(N ) Gauge Theory and Gauge/String Duality, Phys. Rev. Lett. 102 (2009) 212001 [arXiv:0903.4375] [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].
O. Andreev, 1/Q 2 corrections and gauge/string duality, Phys. Rev. D 73 (2006) 107901 [hep-th/0603170] [INSPIRE].
M. Caselle et al., Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II. The Deconfined phase, JHEP 05 (2012) 135 [arXiv:1111.0580] [INSPIRE].
F. Zuo, Thermal power terms in the Einstein-dilaton system, JHEP 06 (2014) 143 [arXiv:1404.4512] [INSPIRE].
A. Dumitru, Y. Guo, Y. Hidaka, C.P.K. Altes and R.D. Pisarski, Effective Matrix Model for Deconfinement in Pure Gauge Theories, Phys. Rev. D 86 (2012) 105017 [arXiv:1205.0137] [INSPIRE].
S.W. Hawking and D.N. Page, Thermodynamics of Black Holes in anti-De Sitter Space, Commun. Math. Phys. 87 (1983) 577 [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.W. Peet, Entropy and temperature of black 3-branes, Phys. Rev. D 54 (1996) 3915 [hep-th/9602135] [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].
W. Fischler and S. Kundu, Strongly Coupled Gauge Theories: High and Low Temperature Behavior of Non-local Observables, JHEP 05 (2013) 098 [arXiv:1212.2643] [INSPIRE].
D. Li, J. Liao and M. Huang, Enhancement of jet quenching around phase transition: result from the dynamical holographic model, Phys. Rev. D 89 (2014) 126006 [arXiv:1401.2035] [INSPIRE].
S.S. Gubser, A. Nellore, S.S. Pufu and F.D. Rocha, Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics, Phys. Rev. Lett. 101 (2008) 131601 [arXiv:0804.1950] [INSPIRE].
S.S. Gubser, S.S. Pufu and F.D. Rocha, Bulk viscosity of strongly coupled plasmas with holographic duals, JHEP 08 (2008) 085 [arXiv:0806.0407] [INSPIRE].
U. Gürsoy, E. Kiritsis, G. Michalogiorgakis and F. Nitti, Thermal Transport and Drag Force in Improved Holographic QCD, JHEP 12 (2009) 056 [arXiv:0906.1890] [INSPIRE].
G. Policastro, D.T. Son and A.O. Starinets, The Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [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 and F. Nitti, Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD, Phys. Rev. Lett. 101 (2008) 181601 [arXiv:0804.0899] [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].
J. Noronha, Connecting Polyakov Loops to the Thermodynamics of SU(N c ) Gauge Theories Using the Gauge-String Duality, Phys. Rev. D 81 (2010) 045011 [arXiv:0910.1261] [INSPIRE].
J. Noronha, The Heavy Quark Free Energy in QCD and in Gauge Theories with Gravity Duals, Phys. Rev. D 82 (2010) 065016 [arXiv:1003.0914] [INSPIRE].
A. Bazavov et al., Equation of state and QCD transition at finite temperature, Phys. Rev. D 80 (2009) 014504 [arXiv:0903.4379] [INSPIRE].
S. Gupta, K. Huebner and O. Kaczmarek, Renormalized Polyakov loops in many representations, Phys. Rev. D 77 (2008) 034503 [arXiv:0711.2251] [INSPIRE].
E. Megias, E. Ruiz Arriola and L.L. Salcedo, The Quark-antiquark potential at finite temperature and the dimension two gluon condensate, Phys. Rev. D 75 (2007) 105019 [hep-ph/0702055] [INSPIRE].
H. Liu, K. Rajagopal and U.A. Wiedemann, Calculating the jet quenching parameter from AdS/CFT, Phys. Rev. Lett. 97 (2006) 182301 [hep-ph/0605178] [INSPIRE].
P. Bialas, L. Daniel, A. Morel and B. Petersson, Thermodynamics of SU(3) Gauge Theory in 2 + 1 Dimensions, Nucl. Phys. B 807 (2009) 547 [arXiv:0807.0855] [INSPIRE].
P. Bicudo, R.D. Pisarski and E. Seel, Matrix model for deconfinement in a SU(N c ) gauge theory in 2 + 1 dimensions, Phys. Rev. D 89 (2014) 085020 [arXiv:1402.5137] [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: 1403.2241
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
Zuo, F., Gao, YH. Quadratic thermal terms in the deconfined phase from holography. J. High Energ. Phys. 2014, 147 (2014). https://doi.org/10.1007/JHEP07(2014)147
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2014)147