Abstract
We use the holographic dual of a finite-temperature, strongly-coupled, gauge theory with a small number of flavors of massive fundamental quarks to study meson excitations and deep inelastic scattering (DIS) in the low-temperature phase, where the mesons are stable. We show that a high-energy flavor current with nearly light-like kinematics disappears into the plasma by resonantly producing vector mesons in highly excited states. This mechanism generates the same DIS structure functions as in the high temperature phase, where mesons are unstable and the current disappears through medium-induced parton branching. To establish this picture, we derive analytic results for the meson spectrum, which are exact in the case of light-like mesons and which corroborate and complete previous, mostly numerical, studies in the literature. We find that the meson levels are very finely spaced near the light-cone, so that the current can always decay, without a fine-tuning of its kinematics.
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References
O. Aharony et al., Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
D.T. Son and A.O. Starinets, Viscosity, black holes and quantum field theory, Ann. Rev. Nucl. Part. Sci. 57 (2007) 95 [arXiv:0704.0240] [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. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in gauge/gravity duals — A review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [SPIRES].
S.S. Gubser, S.S. Pufu, F.D. Rocha and A. Yarom, Energy loss in a strongly coupled thermal medium and the gauge-string duality, arXiv:0902.4041 [SPIRES].
M. Rangamani, Gravity & hydrodynamics: lectures on the fluid-gravity correspondence, Class. Quant. Grav. 26 (2009) 224003 [arXiv:0905.4352] [SPIRES].
C.P. Herzog, A. Karch, P. Kovtun, C. Kozcaz and L.G. Yaffe, Energy loss of a heavy quark moving through N = 4 supersymmetric Yang-Mills plasma, JHEP 07 (2006) 013 [hep-th/0605158] [SPIRES].
S.S. Gubser, Drag force in AdS/CFT, Phys. Rev. D 74 (2006) 126005 [hep-th/0605182] [SPIRES].
H. Liu, K. Rajagopal and U.A. Wiedemann, Calculating the jet quenching parameter from AdS/CFT, Phys. Rev. Lett. 97 (2006) 182301 [hep-ph/0605178] [SPIRES].
J. Casalderrey-Solana and D. Teaney, Heavy quark diffusion in strongly coupled N = 4 Yang-Mills, Phys. Rev. D 74 (2006) 085012 [hep-ph/0605199] [SPIRES].
S.S. Gubser, Momentum fluctuations of heavy quarks in the gauge-string duality, Nucl. Phys. B 790 (2008) 175 [hep-th/0612143] [SPIRES].
J. Casalderrey-Solana and D. Teaney, Transverse momentum broadening of a fast quark in a N = 4 Yang-Mills plasma, JHEP 04 (2007) 039 [hep-th/0701123] [SPIRES].
S.S. Gubser, S.S. Pufu and A. Yarom, Energy disturbances due to a moving quark from gauge-string duality, JHEP 09 (2007) 108 [arXiv:0706.0213] [SPIRES].
P.M. Chesler and L.G. Yaffe, The stress-energy tensor of a quark moving through a strongly-coupled N = 4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT, Phys. Rev. D 78 (2008) 045013 [arXiv:0712.0050] [SPIRES].
F. Dominguez, C. Marquet, A.H. Mueller, B. Wu and B.-W. Xiao, Comparing energy loss and p ⊥ -broadening in perturbative QCD with strong coupling \( \mathcal{N} \) = 4 SYM theory, Nucl. Phys. A 811 (2008) 197 [arXiv:0803.3234] [SPIRES].
G.C. Giecold, E. Iancu and A.H. Mueller, Stochastic trailing string and Langevin dynamics from AdS/CFT, JHEP 07 (2009) 033 [arXiv:0903.1840] [SPIRES].
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] [SPIRES].
H. Liu, K. Rajagopal and U.A. Wiedemann, An AdS/CFT calculation of screening in a hot wind, Phys. Rev. Lett. 98 (2007) 182301 [hep-ph/0607062] [SPIRES].
M. Chernicoff, J.A. Garcia and A. Guijosa, The energy of a moving quark-antiquark pair in an N = 4 SYM plasma, JHEP 09 (2006) 068 [hep-th/0607089] [SPIRES].
E. Caceres, M. Natsuume and T. Okamura, Screening length in plasma winds, JHEP 10 (2006) 011 [hep-th/0607233] [SPIRES].
P.C. Argyres, M. Edalati and J.F. Vazquez-Poritz, No-drag string configurations for steadily moving quark-antiquark pairs in a thermal bath, JHEP 01 (2007) 105 [hep-th/0608118] [SPIRES].
Q.J. Ejaz, T. Faulkner, H. Liu, K. Rajagopal and U.A. Wiedemann, A limiting velocity for quarkonium propagation in a strongly coupled plasma via AdS/CFT, JHEP 04 (2008) 089 [arXiv:0712.0590] [SPIRES].
D. Mateos, R.C. Myers and R.M. Thomson, Thermodynamics of the brane, JHEP 05 (2007) 067 [hep-th/0701132] [SPIRES].
C. Hoyos-Badajoz, K. Landsteiner and S. Montero, Holographic meson melting, JHEP 04 (2007) 031 [hep-th/0612169] [SPIRES].
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] [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].
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 and L. Patino, Bright branes for strongly coupled plasmas, JHEP 11 (2007) 025 [arXiv:0709.2168] [SPIRES].
J. Casalderrey-Solana and D. Mateos, Prediction of a photon peak in relativistic heavy ion collisions, Phys. Rev. Lett. 102 (2009) 192302 [arXiv:0806.4172] [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].
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].
C.A. Ballon Bayona, H. Boschi-Filho and N.R.F. Braga, Deep inelastic structure functions from supergravity at small x, JHEP 10 (2008) 088 [arXiv:0712.3530] [SPIRES].
J.L. Albacete, Y.V. Kovchegov and A. Taliotis, DIS on a large nucleus in AdS/CFT, JHEP 07 (2008) 074 [arXiv:0806.1484] [SPIRES].
A.H. Mueller, A.I. Shoshi and B.-W. Xiao, Deep inelastic and dipole scattering on finite length hot \( \mathcal{N} \) = 4 SYM matter, Nucl. Phys. A 822 (2009) 20 [arXiv:0812.2897] [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].
F. Dominguez, Particle production in DIS off a shockwave in AdS, arXiv:0912.1641 [SPIRES].
E. Iancu and A.H. Mueller, A lattice test of strong coupling behaviour in QCD at finite temperature, Phys. Lett. B 681 (2009) 247 [arXiv:0906.3175] [SPIRES].
A.H. Mueller, Parton saturation: an overview, hep-ph/0111244 [SPIRES].
E. Iancu, A. Leonidov and L. McLerran, The colour glass condensate: an introduction, hep-ph/0202270 [SPIRES].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [SPIRES].
J. Babington, J. Erdmenger, N.J. Evans, Z. Guralnik and I. Kirsch, Chiral symmetry breaking and pions in non-supersymmetric gauge/gravity duals, Phys. Rev. D 69 (2004) 066007 [hep-th/0306018] [SPIRES].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Meson spectroscopy in AdS/CFT with flavour, JHEP 07 (2003) 049 [hep-th/0304032] [SPIRES].
D. Mateos, R.C. Myers and R.M. Thomson, Holographic phase transitions with fundamental matter, Phys. Rev. Lett. 97 (2006) 091601 [hep-th/0605046] [SPIRES].
A. Mócsy , Quarkonium spectral functions, Nucl. Phys. A 830 (2009) 411c–418c [arXiv:0908.0746] [SPIRES].
H.T. Ding, O. Kaczmarek, F. Karsch, H. Satz and W. Soeldner, Charmonium correlators and spectral functions at finite temperature, arXiv:0910.3098 [SPIRES].
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].
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].
L. Álvarez-Gaumé and S.F. Hassan, Introduction to S-duality in N = 2 supersymmetric gauge theories: a pedagogical review of the work of Seiberg and Witten, Fortsch. Phys. 45 (1997) 159 [hep-th/9701069] [SPIRES].
C. Fefferman and R. C. Graham, Conformal invariants, Elie Cartan et les Mathématiques d’aujourd’hui, Astérisque (1985) 95.
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].
C.P. Herzog and D.T. Son, Schwinger-Keldysh propagators from AdS/CFT correspondence, JHEP 03 (2003) 046 [hep-th/0212072] [SPIRES].
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, Dover, New York U.S.A. (1965).
L. Landau and E. Lifchitz, Quantum mechanics: non-relativistic theory, Pergmaon Press, New York U.S.A. (1981).
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ArXiv ePrint: 0912.2238
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Iancu, E., Muelle, A.H. Light-like mesons and deep inelastic scattering in finite-temperature AdS/CFT with flavor. J. High Energ. Phys. 2010, 23 (2010). https://doi.org/10.1007/JHEP02(2010)023
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DOI: https://doi.org/10.1007/JHEP02(2010)023