Abstract
We consider the Soft-Wall-model of AdS/QCD to calculate photon production in strongly coupled Quark Gluon Plasma (sQGP). The IR cut-off only affects the low-frequency-component of the production rate. The full spectral function is determined numerically and shows remarkable similarity to computations of the photon production rate in AdS-duals of \( \mathcal{N} = 2 \) theories with massive flavor. It is further support that Soft-Wall AdS-QCD correctly captures the IR physics of the chiral perturbation theory regime of QCD. We confirm this by relating the IR-effects of the massive flavor deformations to the AdS/QCD soft wall cut-off. The AdS/QCD spectral function is smooth, however, and unlike massive flavor models shows no spectral peaks.
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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].
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] [SPIRES].
I.R. Klebanov and A.A. Tseytlin, Entropy of near-extremal black p-branes, Nucl. Phys. B 475 (1996) 164 [hep-th/9604089] [SPIRES].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [SPIRES].
G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052] [SPIRES].
J. Erlich, E. Katz, D.T. Son and M.A. Stephanov, QCD and a holographic model of hadrons, Phys. Rev. Lett. 95 (2005) 261602 [hep-ph/0501128] [SPIRES].
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] [SPIRES].
C.P. Herzog, A holographic prediction of the deconfinement temperature, Phys. Rev. Lett. 98 (2007) 091601 [hep-th/0608151] [SPIRES].
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].
D. Mateos, String theory and RHIC physics: the fundamental story, talk at the Strings 2007, June 25–29, Madrid, Spain (2007).
D. Mateos and L. Patino, Bright branes for strongly coupled plasmas, JHEP 11 (2007) 025 [arXiv:0709.2168] [SPIRES].
P. Stankus, Direct photon production in relativistic heavy-ion collisions, Ann. Rev. Nucl. Part. Sci. 55 (2005) 517 [SPIRES].
M. Le Bellac, Thermal field theory, Cambridge University Press, Cambridge U.K. (1996).
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].
S. Scherer and M.R. Schindler, A chiral perturbation theory primer, hep-ph/0505265 [SPIRES].
P.K. Kovtun and A.O. Starinets, Quasinormal modes and holography, Phys. Rev. D 72 (2005) 086009 [hep-th/0506184] [SPIRES].
F.W.J. Olver, The asymptotic solution of linear differential equations of second order fro large values of a parameter, Phil. Trans. Roy. Soc. Lon. Ser. A 247 (1954) 307.
F.W.J. Olver, Asymptotics and special functions, A.K. Peters, Wellesley U.S.A. (1997).
P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: diffusion on stretched horizons, JHEP 10 (2003) 064 [hep-th/0309213] [SPIRES].
D. Mateos, R.C. Myers and R.M. Thomson, Holographic viscosity of fundamental matter, Phys. Rev. Lett. 98 (2007) 101601 [hep-th/0610184] [SPIRES].
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] [SPIRES].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Holography and thermodynamics of 5D dilaton-gravity, JHEP 05 (2009) 033 [arXiv:0812.0792] [SPIRES].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Improved holographic yang-mills at finite temperature: comparison with data, Nucl. Phys. B 820 (2009) 148 [arXiv:0903.2859] [SPIRES].
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] [SPIRES].
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] [SPIRES].
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ArXiv ePrint: 0802.1460
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Nata Atmaja, A., Schalm, K. Photon and dilepton production in soft wall AdS/QCD. J. High Energ. Phys. 2010, 124 (2010). https://doi.org/10.1007/JHEP08(2010)124
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DOI: https://doi.org/10.1007/JHEP08(2010)124