Abstract
We use the gauge/gravity correspondence to calculate the rate of photon production in a strongly coupled \( \mathcal{N} \) = 4 plasma in the presence of an intense magnetic field. We start by constructing a family of back reacted geometries that include the black D3-brane solution, as a smooth limiting case for B = 0, and extends to backgrounds with an arbitrarily large constant magnetic field. This family provides the gravitational dual of a field theory in the presence of a very strong magnetic field which intensity can be fixed as desired and allows us to study its effect on the photon production of a quark-gluon plasma. The inclusion of perturbations in the electromagnetic field on these backgrounds is consistent only if the metric is perturbed as well, so we use methods developed to treat operator mixing to manage these general perturbations. Our results show a clear enhancement of photon production with a significant anisotropy, which, in qualitative agreement with the experiments of heavy ion collisions, is particularly noticeable for low P.
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STAR collaboration, J. Adams et al., Experimental and theoretical challenges in the search for the quark gluon plasma: The STAR Collaboration’s critical assessment of the evidence from RHIC collisions, Nucl. Phys. A 757 (2005) 102 [nucl-ex/0501009] [INSPIRE].
PHENIX collaboration, K. Adcox et al., Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration, Nucl. Phys. A 757 (2005) 184 [nucl-ex/0410003] [INSPIRE].
Y. Schutz and U.A. Wiedemann eds., Quark matter 2011, Proceedings of the 22 nd International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions, Annecy, France, 23-28 May 2011, J. Phys. G 38 (12) (2011).
F. Arleo et al., Hard probes in heavy-ion collisions at the LHC: Photon physics in heavy ion collisions at the LHC, hep-ph/0311131 [INSPIRE].
P. Stankus, Direct photon production in relativistic heavy-ion collisions, Ann. Rev. Nucl. Part. Sci. 55 (2005) 517 [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].
E.V. Shuryak, What RHIC experiments and theory tell us about properties of quark-gluon plasma?, Nucl. Phys. A 750 (2005) 64 [hep-ph/0405066] [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].
R.C. Myers and S.E. Vazquez, Quark Soup al dente: Applied Superstring Theory, Class. Quant. Grav. 25 (2008) 114008 [arXiv:0804.2423] [INSPIRE].
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] [INSPIRE].
ALICE collaboration, M. Wilde, Measurement of Direct Photons in pp and Pb-Pb Collisions with ALICE, Nucl. Phys. A904-905 (2013) 573c-576c [arXiv:1210.5958] [INSPIRE].
PHENIX collaboration, A. Adare et al., Observation of direct-photon collective flow in \( \sqrt{{{s_{{N\,N}}}}} \) = 200 GeV Au+Au collisions, Phys. Rev. Lett. 109 (2012) 122302 [arXiv:1105.4126] [INSPIRE].
G. Basar, D. Kharzeev, D. Kharzeev and V. Skokov, Conformal anomaly as a source of soft photons in heavy ion collisions, Phys. Rev. Lett. 109 (2012) 202303 [arXiv:1206.1334] [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. Parnachev and D.A. Sahakyan, Photoemission with Chemical Potential from QCD Gravity Dual, Nucl. Phys. B 768 (2007) 177 [hep-th/0610247] [INSPIRE].
D. Mateos and L. Patino, Bright branes for strongly coupled plasmas, JHEP 11 (2007) 025 [arXiv:0709.2168] [INSPIRE].
A. Nata Atmaja and K. Schalm, Photon and Dilepton Production in Soft Wall AdS/QCD, JHEP 08 (2010) 124 [arXiv:0802.1460] [INSPIRE].
Y.Y. Bu, Photoproduction and conductivity in dense holographic QCD, Phys. Rev. D 86 (2012) 026003 [INSPIRE].
K. Jo and S.-J. Sin, Photo-emission rate of sQGP at finite density, Phys. Rev. D 83 (2011) 026004 [arXiv:1005.0200] [INSPIRE].
B. Hassanain and M. Schvellinger, Plasma conductivity at finite coupling, JHEP 01 (2012) 114 [arXiv:1108.6306] [INSPIRE].
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 photoemission from string theory, JHEP 12 (2012) 095 [arXiv:1209.0427] [INSPIRE].
M. Martinez and M. Strickland, Dissipative Dynamics of Highly Anisotropic Systems, Nucl. Phys. A 848 (2010) 183 [arXiv:1007.0889] [INSPIRE].
M. Martinez and M. Strickland, Non-boost-invariant anisotropic dynamics, Nucl. Phys. A 856 (2011) 68 [arXiv:1011.3056] [INSPIRE].
R.A. Janik and P. Witaszczyk, Towards the description of anisotropic plasma at strong coupling, JHEP 09 (2008) 026 [arXiv:0806.2141] [INSPIRE].
A. Rebhan and D. Steineder, Electromagnetic signatures of a strongly coupled anisotropic plasma, JHEP 08 (2011) 153 [arXiv:1106.3539] [INSPIRE].
D. Mateos and D. Trancanelli, The anisotropic N = 4 super Yang-Mills plasma and its instabilities, Phys. Rev. Lett. 107 (2011) 101601 [arXiv:1105.3472] [INSPIRE].
D. Mateos and D. Trancanelli, Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma, JHEP 07 (2011) 054 [arXiv:1106.1637] [INSPIRE].
L. Patino and D. Trancanelli, Thermal photon production in a strongly coupled anisotropic plasma, JHEP 02 (2013) 154 [arXiv:1211.2199] [INSPIRE].
T. Azeyanagi, W. Li and T. Takayanagi, On String Theory Duals of Lifshitz-like Fixed Points, JHEP 06 (2009) 084 [arXiv:0905.0688] [INSPIRE].
A. Rebhan and D. Steineder, Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma, Phys. Rev. Lett. 108 (2012) 021601 [arXiv:1110.6825] [INSPIRE].
K.A. Mamo, Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma, JHEP 10 (2012) 070 [arXiv:1205.1797] [INSPIRE].
M. Chernicoff, D. Fernandez, D. Mateos and D. Trancanelli, Drag force in a strongly coupled anisotropic plasma, JHEP 08 (2012) 100 [arXiv:1202.3696] [INSPIRE].
D. Giataganas, Probing strongly coupled anisotropic plasma, JHEP 07 (2012) 031 [arXiv:1202.4436] [INSPIRE].
K.B. Fadafan and H. Soltanpanahi, Energy loss in a strongly coupled anisotropic plasma, JHEP 10 (2012) 085 [arXiv:1206.2271] [INSPIRE].
B. Müller and D.-L. Yang, Light Probes in a Strongly Coupled Anisotropic Plasma, Phys. Rev. D 87 (2013) 046004 [arXiv:1210.2095] [INSPIRE].
A. Rebhan and D. Steineder, Probing Two Holographic Models of Strongly Coupled Anisotropic Plasma, JHEP 08 (2012) 020 [arXiv:1205.4684] [INSPIRE].
M. Chernicoff, D. Fernandez, D. Mateos and D. Trancanelli, Jet quenching in a strongly coupled anisotropic plasma, JHEP 08 (2012) 041 [arXiv:1203.0561] [INSPIRE].
M. Chernicoff, D. Fernandez, D. Mateos and D. Trancanelli, Quarkonium dissociation by anisotropy, JHEP 01 (2013) 170 [arXiv:1208.2672] [INSPIRE].
S. Chakraborty and N. Haque, Holographic quark-antiquark potential in hot, anisotropic Yang-Mills plasma, Nucl. Phys. B 874 (2013) 821 [arXiv:1212.2769] [INSPIRE].
K.B. Fadafan, D. Giataganas and H. Soltanpanahi, The Imaginary Part of the Static Potential in Strongly Coupled Anisotropic Plasma, JHEP 11 (2013) 107 [arXiv:1306.2929] [INSPIRE].
D. Giataganas and H. Soltanpanahi, Universal Properties of the Langevin Diffusion Coefficients, Phys. Rev. D 89 (2014) 026011 [arXiv:1310.6725] [INSPIRE].
S. Chakrabortty, S. Chakraborty and N. Haque, Brownian motion in strongly coupled, anisotropic Yang-Mills plasma: A holographic approach, arXiv:1311.5023 [INSPIRE].
M. Ali-Akbari and H. Ebrahim, Chiral Symmetry Breaking: To Probe Anisotropy and Magnetic Field in QGP, Phys. Rev. D 89 (2014) 065029 [arXiv:1309.4715] [INSPIRE].
S.-Y. Wu and D.-L. Yang, Holographic Photon Production with Magnetic Field in Anisotropic Plasmas, JHEP 08 (2013) 032 [arXiv:1305.5509] [INSPIRE].
E. D’Hoker and P. Kraus, Magnetic Brane Solutions in AdS, JHEP 10 (2009) 088 [arXiv:0908.3875] [INSPIRE].
K.A. Mamo, Enhanced thermal photon and dilepton production in strongly coupled N = 4 SYM plasma in strong magnetic field, JHEP 08 (2013) 083 [arXiv:1210.7428] [INSPIRE].
M. Kaminski, K. Landsteiner, J. Mas, J.P. Shock and J. Tarrio, Holographic Operator Mixing and Quasinormal Modes on the Brane, JHEP 02 (2010) 021 [arXiv:0911.3610] [INSPIRE].
M. Luzum and P. Romatschke, Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at \( \sqrt{{{s_{{N\,N}}}}} \) = 200 GeV, Phys. Rev. C 78 (2008) 034915 [Erratum ibid. C 79 (2009) 039903] [arXiv:0804.4015] [INSPIRE].
M. Le Bellac, Thermal Field Theory, Cambridge University Press, (1996).
R. Kubo, Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems, J. Phys. Soc. Jap. 12 (1957) 570 [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.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics. 2. Sound waves, JHEP 12 (2002) 054 [hep-th/0210220] [INSPIRE].
P.K. Kovtun and A.O. Starinets, Quasinormal modes and holography, Phys. Rev. D 72 (2005) 086009 [hep-th/0506184] [INSPIRE].
E.M. Méndez, D. Page, L. Patiño and P. Ortega, Thermal Photons From Magnetized Bare Strange Stars, arXiv:1306.1828 [INSPIRE].
E. Moreno, P. Ortega and L. Patiño, Enhancement of Photon Production in Magnetized Bare Strange Stars through the gauge/gravity correspondence, in progress.
E. Moreno, P. Ortega and L. Patiño, The Effect of Mass on the Enhancement of Photon Production in Magnetized Bare Strange Stars through the gauge/gravity correspondence, in progress.
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Arciniega, G., Nettel, F., Ortega, P. et al. Brighter branes, enhancement of photon production by strong magnetic fields in the gauge/gravity correspondence. J. High Energ. Phys. 2014, 192 (2014). https://doi.org/10.1007/JHEP04(2014)192
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DOI: https://doi.org/10.1007/JHEP04(2014)192