Abstract
By taking into account the full O(α′3) type IIB string theory corrections to the supergravity action, we compute the leading finite ’t Hooft coupling O(λ−3/2) corrections to the conductivity of strongly-coupled SU(N ) N = 4 supersymmetric Yang-Mills plasma in the large N limit. We find that the conductivity is enhanced by the corrections, in agreement with the trend expected from previous perturbative weak-coupling computations.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
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) 1133 ] [hep-th/9711200] [INSPIRE].
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].
E. Shuryak, Why does the quark gluon plasma at RHIC behave as a nearly ideal fluid?, Prog. Part. Nucl. Phys. 53 (2004) 273 [hep-ph/0312227] [INSPIRE].
M. Gyulassy and L. McLerran, New forms of QCD matter discovered at RHIC, Nucl. Phys. A 750 (2005) 30 [nucl-th/0405013] [INSPIRE].
B. Müller, From quark-gluon Plasma to the Perfect Liquid, Acta Phys. Polon. B 38 (2007) 3705 [arXiv:0710.3366] [INSPIRE].
J. Casalderrey-Solana and C.A. Salgado, Introductory lectures on jet quenching in heavy ion collisions, Acta Phys. Polon. B 38 (2007) 3731 [arXiv:0712.3443] [INSPIRE].
E. Shuryak, Physics of Strongly coupled quark-gluon Plasma, Prog. Part. Nucl. Phys. 62 (2009) 48 [arXiv:0807.3033] [INSPIRE].
U.W. Heinz, The Strongly coupled quark-gluon plasma created at RHIC, J. Phys. A 42 (2009) 214003 [arXiv:0810.5529] [INSPIRE].
E. Iancu, Partons and jets in a strongly-coupled plasma from AdS/CFT, Acta Phys. Polon. B 39 (2008) 3213 [arXiv:0812.0500] [INSPIRE].
ALICE collaboration, J. Schukraft, First Results from the ALICE experiment at the LHC, Nucl. Phys. A 862-863 (2011) 78 [arXiv:1103.3474] [INSPIRE].
N. Armesto, et al., Heavy Ion Collisions at the LHC — Last Call for Predictions, J. Phys. G 35 (2008) 054001 [arXiv:0711.0974] [INSPIRE].
D.T. Son and A.O. Starinets, Minkowski space correlators in AdS/CFT correspondence: Recipe and applications, JHEP 09 (2002) 042 [hep-th/0205051] [INSPIRE].
G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052] [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].
P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: Diffusion on stretched horizons, JHEP 10 (2003) 064 [hep-th/0309213] [INSPIRE].
P. Kovtun, D. Son and A. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231] [INSPIRE].
D. Teaney, Finite temperature spectral densities of momentum and R-charge correlators in N = 4 Yang-Mills theory, Phys. Rev. D 74(2006) 045025 [hep-ph/0602044][INSPIRE].
R.C. Myers, A.O. Starinets and R.M. Thomson, Holographic spectral functions and diffusion constants for fundamental matter, JHEP 11 (2007) 091 [arXiv:0706.0162] [INSPIRE].
S. Caron-Huot, P. Kovtun, G.D. Moore, A. Starinets and L.G. Yaffe, Photon and dilepton production in supersymmetric Yang-Mills plasma, JHEP 12 (2006) 015 [hep-th/0607237] [INSPIRE].
A. Buchel, J.T. Liu and A.O. Starinets, Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 707 (2005) 56 [hep-th/0406264] [INSPIRE].
P. Benincasa and A. Buchel, Transport properties of N = 4 supersymmetric Yang-Mills theory at finite coupling, JHEP 01 (2006) 103 [hep-th/0510041] [INSPIRE].
A. Buchel, Resolving disagreement for η/s in a CFT plasma at finite coupling, Nucl. Phys. B 803 (2008) 166 [arXiv:0805.2683] [INSPIRE].
R.C. Myers, M.F. Paulos and A. Sinha, Quantum corrections to η/s, Phys. Rev. D 79 (2009) 041901 [arXiv:0806.2156] [INSPIRE].
A. Buchel, R.C. Myers, M.F. Paulos and A. Sinha, Universal holographic hydrodynamics at finite coupling, Phys. Lett. B 669 (2008) 364 [arXiv:0808.1837] [INSPIRE].
R.C. Myers, M.F. Paulos and A. Sinha, Holographic Hydrodynamics with a Chemical Potential, JHEP 06 (2009) 006 [arXiv:0903.2834] [INSPIRE].
S. Cremonini, K. Hanaki, J.T. Liu and P. Szepietowski, Higher derivative effects on η/s at finite chemical potential, Phys. Rev. D 80 (2009) 025002 [arXiv:0903.3244] [INSPIRE].
B. Hassanain and M. Schvellinger, Towards ’t Hooft parameter corrections to charge transport in strongly-coupled plasma, JHEP 10 (2010) 068 [arXiv:1006.5480] [INSPIRE].
B. Hassanain and M. Schvellinger, Holographic current correlators at finite coupling and scattering off a supersymmetric plasma, JHEP 04 (2010) 012 [arXiv:0912.4704] [INSPIRE].
A. Ritz and J. Ward, Weyl corrections to holographic conductivity, Phys. Rev. D 79 (2009) 066003 [arXiv:0811.4195] [INSPIRE].
M.F. Paulos, Higher derivative terms including the Ramond-Ramond five-form, JHEP 10 (2008) 047 [arXiv:0804.0763] [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev. D 60 (1999) 064018 [hep-th/9902170] [INSPIRE].
A. Sinha and R.C. Myers, The Viscosity bound in string theory, Nucl. Phys. A 830 (2009) 295C-298C [arXiv:0907.4798] [INSPIRE].
T. Banks and M.B. Green, Nonperturbative effects in AdS 5 × S 5 string theory and D = 4 SUSY Yang-Mills, JHEP 05 (1998) 002 [hep-th/9804170] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.A. Tseytlin, Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 534 (1998) 202 [hep-th/9805156] [INSPIRE].
J. Pawelczyk and S. Theisen, AdS 5 × S 5 black hole metric at O(alpha-prime**3), JHEP 09 (1998) 010 [hep-th/9808126] [INSPIRE].
S. de Haro, A. Sinkovics and K. Skenderis, On a supersymmetric completion of the R 4 term in IIB supergravity, Phys. Rev. D 67 (2003) 084010 [hep-th/0210080] [INSPIRE].
S. de Haro, A. Sinkovics and K. Skenderis, On α ′ corrections to D-brane solutions, Phys. Rev. D 68 (2003) 066001 [hep-th/0302136] [INSPIRE].
K. Peeters and A. Westerberg, The Ramond-Ramond sector of string theory beyond leading order, Class. Quant. Grav. 21 (2004) 1643 [hep-th/0307298] [INSPIRE].
K. Peeters, A Field-theory motivated approach to symbolic computer algebra, Comput. Phys. Commun. 176 (2007) 550 [cs/0608005] [INSPIRE].
K. Peeters, Introducing Cadabra: A Symbolic computer algebra system for field theory problems, hep-th/0701238 [INSPIRE].
P.B. Arnold, G.D. Moore and L.G. Yaffe, Transport coefficients in high temperature gauge theories. 1. Leading log results, JHEP 11 (2000) 001 [hep-ph/0010177] [INSPIRE].
H. Liu, K. Rajagopal and U.A. Wiedemann, Wilson loops in heavy ion collisions and their calculation in AdS/CFT, JHEP 03 (2007) 066 [hep-ph/0612168] [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].
G. Aarts, C. Allton, J. Foley, S. Hands and S. Kim, Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD, Phys. Rev. Lett. 99 (2007) 022002 [hep-lat/0703008] [INSPIRE].
H.-T. Ding, A. Francis, O. Kaczmarek, F. Karsch, E. Laermann and W. Soeldner,, Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD, Phys. Rev. D 83 (2011) 034504 [arXiv:1012.4963] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1108.6306
Rights and permissions
About this article
Cite this article
Hassanain, B., Schvellinger, M. Plasma conductivity at finite coupling. J. High Energ. Phys. 2012, 114 (2012). https://doi.org/10.1007/JHEP01(2012)114
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2012)114