Abstract
By studying the effect of the \( \mathcal {O} (\alpha\prime^{3}) \) string theory corrections to type IIB supergravity, including those corrections involving the Ramond-Ramond five-form field strength, we obtain the corrected equations of motion of an Abelian perturbation of the AdS5-Schwarzschild black hole. We then use the gauge theory/string theory duality to examine the coupling-constant dependence of vector current correlators associated to a gauged U(1) sub-group of the global \( \mathcal {R} \)-symmetry group of strongly-coupled \( \mathcal {N} \) = 4 super-symmetric Yang-Mills theory at finite temperature. The corrections induce a set of higher-derivative operators for the U(1) gauge field, but their effect is highly suppressed. We thus find that the \( \mathcal {O} (\alpha\prime^{3}) \) corrections affect the vector correlators only indirectly, through the corrected metric. We apply our results to investigate scattering off a supersymmetric Yang-Mills plasma at low and high energy. In the latter regime, where Deep Inelastic Scattering is expected to occur, we find an enhancement of the plasma structure functions in comparison with the infinite ’t Hooft coupling result.
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) 1113] [hep-th/9711200] [SPIRES].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [SPIRES].
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] [SPIRES].
M. Gyulassy and L. McLerran, New forms of QCD matter discovered at RHIC, Nucl. Phys. A 750 (2005) 30 [nucl-th/0405013] [SPIRES].
B. Müller, From quark-gluon plasma to the perfect liquid, Acta Phys. Polon. B 38 (2007) 3705 [arXiv:0710.3366] [SPIRES].
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] [SPIRES].
E. Shuryak, Physics of strongly coupled quark-gluon plasma, Prog. Part. Nucl. Phys. 62 (2009) 48 [arXiv:0807.3033] [SPIRES].
U.W. Heinz, The strongly coupled quark-gluon plasma created at RHIC, J. Phys. A 42 (2009) 214003 [arXiv:0810.5529] [SPIRES].
E. Iancu, Partons and jets in a strongly-coupled plasma from AdS/CFT, Acta Phys. Polon. B 39 (2008) 3213 [arXiv:0812.0500] [SPIRES].
J. Polchinski and M.J. Strassler, Deep inelastic scattering and gauge/string duality, JHEP 05 (2003) 012 [hep-th/0209211] [SPIRES].
Y. Hatta, E. Iancu and A.H. Mueller, Deep inelastic scattering at strong coupling from gauge/string duality: the saturation line, JHEP 01 (2008) 026 [arXiv:0710.2148] [SPIRES].
Y. Hatta, E. Iancu and A.H. Mueller, Deep inelastic scattering off a N = 4 SYM plasma at strong coupling, JHEP 01 (2008) 063 [arXiv:0710.5297] [SPIRES].
Y. Hatta, E. Iancu and A.H. Mueller, Jet evolution in the N = 4 SYM plasma at strong coupling, JHEP 05 (2008) 037 [arXiv:0803.2481] [SPIRES].
E. Iancu, Parton picture for the strongly coupled SYM plasma, J. Phys. G 35 (2008) 104059 [arXiv:0805.4110] [SPIRES].
Y. Hatta, T. Ueda and B.-W. Xiao, Polarized DIS in N = 4 SYM: where is spin at strong coupling?, JHEP 08 (2009) 007 [arXiv:0905.2493] [SPIRES].
E. Avsar, E. Iancu, L. McLerran and D.N. Triantafyllopoulos, Shockwaves and deep inelastic scattering within the gauge/gravity duality, JHEP 11 (2009) 105 [arXiv:0907.4604] [SPIRES].
C.A.B. Bayona, H. Boschi-Filho and N.R.F. Braga, Deep inelastic scattering off a plasma with flavour from D3-D7 brane model, arXiv:0912.0231 [SPIRES].
F. Dominguez, Particle production in DIS off a shockwave in AdS, arXiv:0912.1641 [SPIRES].
E. Iancu and A.H. Mueller, Light-like mesons and deep inelastic scattering in finite-temperature AdS/CFT with flavor, JHEP 02 (2010) 023 [arXiv:0912.2238] [SPIRES].
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] [SPIRES].
P. Benincasa and A. Buchel, Transport properties of N = 4 supersymmetric Yang-Mills theory at finite coupling, JHEP 01 (2006) 103 [hep-th/0510041] [SPIRES].
R.A. Janik and R.B. Peschanski, Gauge/gravity duality and thermalization of a boost-invariant perfect fluid, Phys. Rev. D 74 (2006) 046007 [hep-th/0606149] [SPIRES].
N. Armesto, J.D. Edelstein and J. Mas, Jet quenching at finite ’t Hooft coupling and chemical potential from AdS/CFT, JHEP 09 (2006) 039 [hep-ph/0606245] [SPIRES].
A. Buchel, Resolving disagreement for eta/s in a CFT plasma at finite coupling, Nucl. Phys. B 803 (2008) 166 [arXiv:0805.2683] [SPIRES].
R.C. Myers, M.F. Paulos and A. Sinha, Quantum corrections to η s , Phys. Rev. D 79 (2009) 041901 [arXiv:0806.2156] [SPIRES].
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] [SPIRES].
A. Ritz and J. Ward, Weyl corrections to holographic conductivity, Phys. Rev. D 79 (2009) 066003 [arXiv:0811.4195] [SPIRES].
R.C. Myers, M.F. Paulos and A. Sinha, Holographic hydrodynamics with a chemical potential, JHEP 06 (2009) 006 [arXiv:0903.2834] [SPIRES].
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] [SPIRES].
B. Hassanain, M. Schvellinger, Towards ’t Hooft parameter corrections to the conductivity of strongly-coupled plasma, work in preparation.
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] [SPIRES].
R. Argurio, Brane physics in M-theory, hep-th/9807171 [SPIRES].
M. Cvetič et al., Embedding AdS black holes in ten and eleven dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [SPIRES].
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] [SPIRES].
T.A. Tran, Gauged supergravities from spherical reductions, hep-th/0109092 [SPIRES].
D.T. Son and A.O. Starinets, Minkowski-space correlators in AdS/CFT correspondence: recipe and applications, JHEP 09 (2002) 042 [hep-th/0205051] [SPIRES].
G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052] [SPIRES].
T. Banks and M.B. Green, Non-perturbative effects in AdS 5 × S 5 string theory and D = 4 SUSY Yang-Mills, JHEP 05 (1998) 002 [hep-th/9804170] [SPIRES].
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] [SPIRES].
J. Pawe lczyk and S. Theisen, AdS 5 × S 5 black hole metric at O(α’3), JHEP 09 (1998) 010 [hep-th/9808126] [SPIRES].
S. de Haro, A. Sinkovics and K. Skenderis, A supersymmetric completion of the R 4 term in IIB supergravity, Phys. Rev. D 67 (2003) 084010 [hep-th/0210080] [SPIRES].
S. de Haro, A. Sinkovics and K. Skenderis, On α’ corrections to D-brane solutions, Phys. Rev. D 68 (2003) 066001 [hep-th/0302136] [SPIRES].
K. Peeters and A. Westerberg, The Ramond-Ramond sector of string theory beyond leading order, Class. Quant. Grav. 21 (2004) 1643 [hep-th/0307298] [SPIRES].
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] [SPIRES].
P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231] [SPIRES].
D.M. Hofman, Higher derivative gravity, causality and positivity of energy in a UV complete QFT, Nucl. Phys. B 823 (2009) 174 [arXiv:0907.1625] [SPIRES].
A. Sinha and R.C. Myers, The viscosity bound in string theory, Nucl. Phys. A 830 (2009) 295c–298c [arXiv:0907.4798] [SPIRES].
M.F. Paulos, Higher derivative terms including the Ramond-Ramond five- form, JHEP 10 (2008) 047 [arXiv:0804.0763] [SPIRES].
C.P. Herzog and D.T. Son, Schwinger-Keldysh propagators from AdS/CFT correspondence, JHEP 03 (2003) 046 [hep-th/0212072] [SPIRES].
P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: diffusion on stretched horizons, JHEP 10 (2003) 064 [hep-th/0309213] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 0912.4704
Rights and permissions
About this article
Cite this article
Hassanain, B., Schvellinger, M. Holographic current correlators at finite coupling and scattering off a supersymmetric plasma. J. High Energ. Phys. 2010, 12 (2010). https://doi.org/10.1007/JHEP04(2010)012
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2010)012