Abstract
In this paper, we consider a rotating heavy quark-antiquark (\(q\bar{q}\)) pair in a \({\mathcal{N}}=4\) SYM thermal plasma. We assume that \(q\bar{q}\) center of mass moves at the speed v and furthermore they rotate around the center of mass. We use the AdS/CFT correspondence and consider the effect of external electromagnetic field on the motion of the rotating meson. Then we calculate the jet-quenching parameter corresponding to the rotating meson in the constant electric field.
Similar content being viewed by others
References
Maldacena, J.M.: The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231 (1998)
Witten, E.: Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2, 253 (1998)
Gubser, S.S., Klebanov, I.R., Polyakov, A.M.: Gauge theory correlators from noncritical string theory. Phys. Lett. B 428, 105 (1998)
Svetitsky, B.: Diffusion of charmed quark in the quark-gluon plasma. Phys. Rev. D 37, 2484 (1988)
Braaten, E., Thoma, M.H.: Energy loss of a heavy quark in the quark-gluon plasma. Phys. Rev. D 44, 2625 (1991)
Mustafa, M.G., Pal, D., Srivastava, D.K., Thoma, M.: Radiative energy-loss of heavy quarks in a quark-gluon plasma. Phys. Lett. B 428, 234 (1998)
Mustafa, M.G., Thoma, M.H.: Quenching of hadron spectra due to the collisional energy loss of partons in the quark gluon plasma. Acta Phys. Hung. A 22, 93 (2005)
Mustafa, M.G.: Energy loss of charm quarks in the quark-gluon plasma: collisional vs radiative. Phys. Rev. C 72, 014905 (2005)
Baier, R., Dokshitzer, Y.L., Mueller, A.H., Schiff, D.: Quenching of hadron spectra in media. J. High Energy Phys. 0109, 033 (2001)
Dokshitzer, Y.L., Kharzeev, D.E.: Heavy quark colorimetry of QCD matter. Phys. Lett. B 519, 199 (2001)
Jeon, S., Moore, G.D.: Energy loss of leading partons in a thermal QCD medium. Phys. Rev. C 71, 034901 (2005)
Moore, G.D., Teaney, D.: How much do heavy quarks thermalize in a heavy ion collision? Phys. Rev. C 71, 064904 (2005)
Djordjevic, M., Gyulassy, M.: Where is the charm quark energy loss at RHIC? Phys. Lett. B 560, 37 (2003)
Adams, J., et al. (STAR Collaboration): 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, 102 (2005). arXiv:nucl-ex/0501009
Back, B.B., et al.: The PHOBOS perspective on discoveries at RHIC. Nucl. Phys. A 757, 28 (2005). arXiv:nucl-ex/0410022
Arsene, I., et al. (BRAHMS Collaboration): Quark gluon plasma an color glass condensate at RHIC? The perspective from the BRAHMS experiment. Nucl. Phys. A 757, 1 (2005). arXiv:nucl-ex/0410020
Adcox, K., et al. (PHENIX Collaboration): Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: experimental evaluation by the PHENIX collaboration. Nucl. Phys. A 757, 184 (2005). arXiv:nucl-ex/0410003
Friess, J.J., Gubser, S.S., Michalogiorgakis, G.: Dissipation from a heavy quark moving through N=4 super-Yang-Mills plasma. J. High Energy Phys. 0609, 072 (2006)
Herzog, C.P., Karch, A., Kovtun, P., Kozcaz, C., Yaffe, L.G.: Energy loss of a heavy quark moving through \(\mathcal{N} =4\) supersymmetric Yang-Mills plasma. J. High Energy Phys. 0607, 013 (2006). arXiv:hep-th/0605158
Herzog, C.P.: Energy loss of heavy quarks from asymptotically AdS geometries. J. High Energy Phys. 0609, 032 (2006). arXiv:hep-th/0605191
Liu, H., Rajagopal, K., Wiedemann, U.A.: Calculating the jet quenching parameter from AdS/CFT. Phys. Rev. Lett. 97, 182301 (2006)
Casalderrey-Solana, J., Teaney, D.: Heavy quark diffusion in strongly coupled \(\mathcal{N}=4\) Yang-Mills. Phys. Rev. D 74, 085012 (2006)
Gubser, S.S.: Drag force in AdS/CFT. Phys. Rev. D 74, 126005 (2006)
Buchel, A.: On jet quenching parameters in strongly coupled non-conformal gauge theories. Phys. Rev. 74, 046006 (2006). arXiv:hep-th/0605178
Vazquez-Poritz, J.F.: Enhancing the jet quenching parameter from marginal deformations. arXiv:hep-th/0605296
Sadeghi, J., Pourhassan, B.: Drag force of moving quark at \({\mathcal{N}}\) = 2 supergravity. J. High Energy Phys. 0812, 026 (2008)
Sadeghi, J., Setare, M.R., Pourhassan, B., Hashmatian, S.: Drag force of moving quark in STU background. Eur. Phys. J. C 61, 527 (2009)
Sadeghi, J., Setare, M.R., Pourhassan, B.: Drag force with different charges in STU background and AdS/CFT. J. Phys. G, Nucl. Part. Phys. 36, 115005 (2009)
Sadeghi, J., Pourhassan, B., Amani, A.R.: The effect of higher derivative correction on η/s and conductivities in STU model. arXiv:1011.2291 [hep-th]
Nakamura, S., Seo, Y., Sin, S.-J., Yogendran, K.P.: Baryon-charge chemical potential in AdS/CFT. Prog. Theor. Phys. 120, 51 (2008)
Nakamura, S.: Comments on chemical potentials in AdS/CFT. Prog. Theor. Phys. 119, 839 (2008)
Chew, G.F.: Rev. Mod. Phys. 34, 394 (1962)
Kobzarev, I.Yu., Martemyanov, B.V., Schepkin, M.G.: Usp. Fiz. Nauk 162, 1 (1992) (in Russian)
Olsson, M.G.: Phys. Rev. D 55, 5479 (1997)
Barbashov, B.M., Nesterenko, V.V.: Relativistic String Model in Hadron Physics. Energoatomizdat, Moscow (1987) (in Russian)
Morgunov, V.L., Nefediev, A.V., Simonov, Yu.A.: Rotating QCD string and the meson spectrum. Phys. Lett. B 459, 653 (1999)
Peeters, K., Sonnenschein, J., Zamaklar, M.: Holographic melting and related properties of mesons in a quark gluon plasma. Phys. Rev. 74, 106008 (2006)
Liu, H., Rajagopal, K., Wiedemann, U.A.: An AdS/CFT calculation of screening in a hot wind. Phys. Rev. Lett. 98, 182301 (2007). arXiv:hep-ph/0607062
Chernicoff, M., Garcia, J.A., Guijosa, A.: The energy of a moving quark-antiquark pair in an N=4 SYM plasma. J. High Energy Phys. 0609, 068 (2006)
Herzog, C.P., Stricker, S.A., Vuorinen, A.: Remarks on heavy-light mesons from AdS/CFT. J. High Energy Phys. 0805, 070 (2008). arXiv:0802.2956
Erdmenger, J., Evans, N., Kirsch, I., Threlfall, E.: Mesons in gauge/gravity duals—a review. Eur. Phys. J. A 35, 81 (2008). arXiv:0711.4467
Casero, R., Paredes, A., Sonnenschein, J.: Fundamental matter, meson spectroscopy and non-critical string/gauge duality. J. High Energy Phys. 0601, 127 (2006). arXiv:hep-th/0510110
Kruczenski, M., Mateos, D., Myers, R.C., Winters, D.J.: Meson spectroscopy in AdS/CFT with flavour. J. High Energy Phys. 0703, 049 (2003). arXiv:hep-th/0304032
Kruczenski, M., Pando Zayas, L.A., Sonnenschein, J., Vaman, D.: Regge trajectories for mesons in the holographic dual of large-N(c) QCD. J. High Energy Phys. 0506, 046 (2005). arXiv:hep-th/0410035
Sadeghi, J., Heshmatian, S.: Screening length of rotating heavy meson from AdS/CFT. Int. J. Theor. Phys. 49(8), 1811 (2010). arXiv:0812.4816 [hep-th]
Bitaghsir Fadafan, K., Liu, H., Rajagopal, K., Wiedemann, U.A.: Stirring strongly coupled plasma. Eur. Phys. J. C 61, 553 (2009). arXiv:0809.2869 [hep-th]
Caceres, E., Guijosa, A.: On drag forces and jet quenching in strongly coupled plasmas. J. High Energy Phys. 0612, 068 (2006)
Lin, F.L., Matsuo, T.: Jet quenching parameter in medium with chemical potential from AdS/CFT. Phys. Lett. B 641, 45 (2006)
Armesto, N., Edelstein, J.D., Mas, J.: Jet quenching at finite ’t Hooft coupling and chemical potential from AdS/CFT. J. High Energy Phys. 0609, 039 (2006)
Edelstein, J.D., Salgado, C.A.: Jet quenching in heavy Ion collisions from AdS/CFT. AIP Conf. Proc. 1031, 207–220 (2008). arXiv:0805.4515 [hep-th]
Fadafan, K.B.: Medium effect and finite ’t Hooft coupling correction on drag force and Jet Quenching Parameter. arXiv:0809.1336 [hep-th]
Bitaghsir Fadafan, K., Pourhassan, B., Sadeghi, J.: Calculating the jet-quenching parameter in STU background. arXiv:1005.1368 [hep-th]
Liu, H., Rajagopal, K., Wiedemann, U.A.: Calculating the jet quenching parameter from AdS/CFT. Phys. Rev. Lett. 97, 182301 (2006)
Matsuo, T., Tomino, D., Wen, W.-Y.: Drag force in SYM plasma with B field from AdS/CFT. J. High Energy Phys. 0610, 055 (2006). arXiv:hep-th/0607178
Meada, K., Natsuume, M., Okamura, T.: Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence. Phys. Rev. 73, 066013 (2006)
Grisaru, M.T., Zanon, D.: Sigma-model superstring corrections to the Einstein-Hilbert action. Phys. Lett. B 177, 347 (1986)
Freeman, M.D., Pope, C.N., Sohnius, M.F., Stelle, K.S.: Higher-order σ-model counterms and the effective action for superstrings. Phys. Lett. B 178, 199 (1986)
Gross, D.J., Witten, E.: Superstring modifications of Einstein’s equations. Nucl. Phys. B 277, 1 (1986)
Park, Q.H., Zanon, D.: Phys. Rev. D 35, 4038 (1987)
Hanaki, K., Ohashi, K., Tachikawa, Y.: Supersymmetric completion of an R 2 term in five-dimensional supergravity. Prog. Theor. Phys. 117, 533 (2007)
Fadafan, K.B.: R 2 curvature-squared correction on drag force. J. High Energy Phys. 0812, 051 (2008). arXiv:0803.2777 [hep-th]
Ali-Akbari, M., Bitaghsir Fadafan, K.: Rotating mesons in the presence of higher derivative corrections from gauge-string duality. arXiv:0908.3921 [hep-th]
Brigante, M., Liu, H., Myers, R.C., Shenker, S., Yaida, S.: Viscosity bound violation in higher derivatiove gravity. Phys. Rev. D 77, 126006 (2008)
Kats, Y., Petrov, P.: Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory. J. High Energy Phys. 0901, 044 (2009). arXiv:0712.0743 [hep-th]
Brigante, M., Liu, H., Myers, R.C., Shenker, S., Yaida, S.: Viscosity bound and causality violation. Phys. Rev. Lett. 100, 191601 (2008)
Krishnan, C.: Baryon dissociation in a strongly coupled plasma. J. High Energy Phys. 0812, 019 (2008). arXiv:0809.5143 [hep-th]
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sadeghi, J., Pourhassan, B. Jet-Quenching of the Rotating Heavy Meson in a \({\mathcal{N}}=4\) SYM Plasma in Presence of a Constant Electric Field. Int J Theor Phys 50, 2305–2316 (2011). https://doi.org/10.1007/s10773-011-0713-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-011-0713-2