Abstract
Leading ’t Hooft coupling corrections to the photoemission rate of the planar limit of a strongly-coupled \( \mathcal{N}=4 \) SYM plasma are investigated using the gauge/string duality. We consider the full \( \mathcal{O}\left( {{\alpha^{{\prime 3}}}} \right) \) type IIB string theory corrections to the supergravity action, including higher order terms with the Ramond-Ramond five-form field strength. We extend our previous results presented in [1]. Photoemission rates depend on the ’t Hooft coupling, and their curves suggest an interpolating behaviour from strong towards weak coupling regimes. Their slopes at zero light-like momentum give the electrical conductivity as a function of the ’t Hooft coupling, in full agreement with our previous results of [2]. Furthermore, we also study the effect of corrections beyond the large N limit.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B. Hassanain and M. Schvellinger, Diagnostics of plasma photoemission at strong coupling, Phys. Rev. D 85 (2012) 086007 [arXiv:1110.0526] [INSPIRE].
B. Hassanain and M. Schvellinger, Plasma conductivity at finite coupling, JHEP 01 (2012) 114 [arXiv:1108.6306] [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].
P.B. Arnold, G.D. Moore and L.G. Yaffe, Photon emission from ultrarelativistic plasmas, JHEP 11 (2001) 057 [hep-ph/0109064] [INSPIRE].
P.B. Arnold, G.D. Moore and L.G. Yaffe, Photon emission from quark gluon plasma: complete leading order results, JHEP 12 (2001) 009 [hep-ph/0111107] [INSPIRE].
P.B. Arnold, G.D. Moore and L.G. Yaffe, Photon and gluon emission in relativistic plasmas, JHEP 06 (2002) 030 [hep-ph/0204343] [INSPIRE].
P.B. Arnold, G.D. Moore and L.G. Yaffe, Effective kinetic theory for high temperature gauge theories, JHEP 01 (2003) 030 [hep-ph/0209353] [INSPIRE].
P.B. Arnold, G.D. Moore and L.G. Yaffe, Transport coefficients in high temperature gauge theories. 2. Beyond leading log, JHEP 05 (2003) 051 [hep-ph/0302165] [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].
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. 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].
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].
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].
M.B. Green and C. Stahn, D3-branes on the Coulomb branch and instantons, JHEP 09 (2003) 052 [hep-th/0308061] [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].
M.F. Paulos, Higher derivative terms including the Ramond-Ramond five-form, JHEP 10 (2008) 047 [arXiv:0804.0763] [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].
M.B. Green and M. Gutperle, Effects of D instantons, Nucl. Phys. B 498 (1997) 195 [hep-th/9701093] [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].
M.B. Green, K. Peeters and C. Stahn, Superfield integrals in high dimensions, JHEP 08 (2005) 093 [hep-th/0506161] [INSPIRE].
R. Argurio, Brane physics in M-theory, hep-th/9807171 [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten 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].
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(α ′3), JHEP 09 (1998) 010 [hep-th/9808126] [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].
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].
A. Buchel, Resolving disagreement for η/s in a CFT plasma at finite coupling, Nucl. Phys. B 803 (2008) 166 [arXiv:0805.2683] [INSPIRE].
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] [INSPIRE].
A. Sinha and R.C. Myers, The viscosity bound in string theory, Nucl. Phys. A 830 (2009) 295C [arXiv:0907.4798] [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].
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].
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].
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 et al., 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].
D. Steineder, S.A. Stricker and A. Vuorinen, Thermalization at intermediate coupling, arXiv:1209.0291 [INSPIRE].
R. Baier, S.A. Stricker, O. Taanila and A. Vuorinen, Production of prompt photons: holographic duality and thermalization, Phys. Rev. D 86 (2012) 081901 [arXiv:1207.1116] [INSPIRE].
R. Baier, S.A. Stricker, O. Taanila and A. Vuorinen, Holographic dilepton production in a thermalizing plasma, JHEP 07 (2012) 094 [arXiv:1205.2998] [INSPIRE].
U.H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Black hole formation in AdS and thermalization on the boundary, JHEP 02 (2000) 039 [hep-th/9912209] [INSPIRE].
S. Lin and E. Shuryak, Toward the AdS/CFT gravity dual for high energy collisions. 3. Gravitationally collapsing shell and quasiequilibrium, Phys. Rev. D 78 (2008) 125018 [arXiv:0808.0910] [INSPIRE].
J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic evolution of entanglement entropy, JHEP 11 (2010) 149 [arXiv:1006.4090] [INSPIRE].
V. Balasubramanian et al., Holographic thermalization, Phys. Rev. D 84 (2011) 026010 [arXiv:1103.2683] [INSPIRE].
T. Albash and C.V. Johnson, Evolution of holographic entanglement entropy after thermal and electromagnetic quenches, New J. Phys. 13 (2011) 045017 [arXiv:1008.3027] [INSPIRE].
D. Galante and M. Schvellinger, Thermalization with a chemical potential from AdS spaces, JHEP 07 (2012) 096 [arXiv:1205.1548] [INSPIRE].
J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136 [INSPIRE].
K. Pilch and N.P. Warner, N = 1 supersymmetric renormalization group flows from IIB supergravity, Adv. Theor. Math. Phys. 4 (2002) 627 [hep-th/0006066] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χ SB-resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
J.M. Maldacena and C. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [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].
D. Mateos and L. Patino, Bright branes for strongly coupled plasmas, JHEP 11 (2007) 025 [arXiv:0709.2168] [INSPIRE].
D. Mateos, R.C. Myers and R.M. Thomson, Thermodynamics of the brane, JHEP 05 (2007) 067 [hep-th/0701132] [INSPIRE].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [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].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1209.0427
Rights and permissions
About this article
Cite this article
Hassanain, B., Schvellinger, M. Plasma photoemission from string theory. J. High Energ. Phys. 2012, 95 (2012). https://doi.org/10.1007/JHEP12(2012)095
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2012)095