Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2013, Article ID 371908, 20 pages
http://dx.doi.org/10.1155/2013/371908
Review Article

Some Aspects of Anisotropic Quark-Gluon Plasma

Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India

Received 5 April 2013; Revised 5 July 2013; Accepted 19 July 2013

Academic Editor: Edward Sarkisyan-Grinbaum

Copyright © 2013 Mahatsab Mandal and Pradip Roy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J.-E. Alam, S. Sarkar, P. Roy, T. Hatsuda, and B. Sinha, “Thermal photons and lepton pairs from quark gluon plasma and hot hadronic matter,” Annals of Physics, vol. 286, no. 2, pp. 159–248, 2000. View at Publisher · View at Google Scholar · View at Scopus
  2. H. Satz and T. Matsui, “J/ψ suppression by quark-gluon plasma formation,” Physics Letters B, vol. 178, no. 4, pp. 416–422, 1986. View at Google Scholar · View at Scopus
  3. J. D. Bjorken, “Partons lose energy due to interactions with the medium,” FERMILAB-Pub-82/59-THY, Erratum, 1982.
  4. M. Gyulassy, P. Levai, and I. Vitev, “Jet quenching in thin quark-gluon plasmas I: formalism,” Nuclear Physics B, vol. 571, pp. 197–233, 2000. View at Publisher · View at Google Scholar
  5. B. G. Zakharov, “On the energy loss of high energy quarks in a finite-size quark-gluon plasma,” JETP Letters, vol. 73, no. 2, pp. 49–52, 2001. View at Publisher · View at Google Scholar · View at Scopus
  6. M. Djordjevic and U. Heinz, “Radiative energy loss in a finite dynamical QCD medium,” Physical Review Letters, vol. 101, no. 2, Article ID 022302, 4 pages, 2008. View at Publisher · View at Google Scholar
  7. G.-Y. Qin, J. Ruppert, C. Gale, S. Jeon, G. D. Moore, and M. G. Mustafa, “Radiative and collisional jet energy loss in the quark-gluon plasma at the BNL relativistic heavy ion collider,” Physical Review Letters, vol. 100, no. 7, Article ID 072301, 2008. View at Publisher · View at Google Scholar · View at Scopus
  8. R. Baier, Y. L. Dokshitzer, A. H. Mueller, and D. Schiff, “Quenching of hadron spectra in media,” Journal of High Energy Physics, vol. 2001, article 033, 2001. View at Publisher · View at Google Scholar
  9. A. K. Dutt-Mazumder, J. Alam, P. Roy, and B. Sinha, “Stopping power of hot QCD plasma,” Physical Review D, vol. 71, no. 9, Article ID 094016, 9 pages, 2005. View at Publisher · View at Google Scholar
  10. P. Roy, J.-E. Alam, and A. K. Dutt-Mazumder, “Quenching of light hadrons at RHIC in a collisional energy loss scenario,” Journal of Physics G, vol. 35, no. 10, Article ID 104047, 2008. View at Publisher · View at Google Scholar · View at Scopus
  11. P. Huovinen, P. Kolb, U. Heinz, and P. V. Ruuskanen, “Radial and elliptic flow at RHIC: further predictions,” Physics Letters B, vol. 503, no. 1-2, pp. 58–64, 2001. View at Publisher · View at Google Scholar
  12. T. Hirano and K. Tsuda, “Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze-out,” Physical Review C, vol. 66, no. 5, Article ID 054905, 14 pages, 2002. View at Publisher · View at Google Scholar
  13. M. J. Tannenbaum, “Recent results in relativistic heavy ion collisions: from ‘a new state of matter’ to ‘the perfect fluid’,” Reports on Progress in Physics, vol. 69, no. 7, 2005. View at Publisher · View at Google Scholar
  14. M. Luzum and P. Romatschke, “Conformal relativistic viscous hydrodynamics: applications to RHIC results at sNN=200 GeV,” Physical Review C, vol. 78, no. 3, Article ID 034915, 17 pages, 2008. View at Publisher · View at Google Scholar
  15. M. Mandal and P. Roy, “Gluon dissociation of J/ψ in anisotropic quark-gluon plasma,” Physical Review C, vol. 86, no. 2, Article ID 024915, 7 pages, 2012. View at Publisher · View at Google Scholar
  16. L. Bhattacharya and P. Roy, “Measuring the isotropization time of quark-gluon plasma from direct photons at energies available at the BNL Relativistic Heavy Ion Collider (RHIC),” Physical Review C, vol. 79, no. 5, Article ID 054910, 7 pages, 2009. View at Publisher · View at Google Scholar
  17. M. Martinez and M. Strickland, “Dilepton production as a measure of QGP thermalization time,” Journal of Physics G, vol. 35, no. 10, Article ID 104162, 2008. View at Publisher · View at Google Scholar
  18. R. Baier, A. H. Muller, D. Schiff, and D. T. Son, “‘Bottom-up’ thermalization in heavy ion collisions,” Physics Letters B, vol. 502, no. 1–4, pp. 51–58, 2001. View at Publisher · View at Google Scholar
  19. E. Webel, “Spontaneously growing transverse waves in a plasma due to an anisotropic velocity distribution,” Physical Review Letters, vol. 2, no. 3, p. 83, 1959. View at Publisher · View at Google Scholar
  20. S. Mrowczynski, “Plasma instability at the initial stage of ultrarelativistic heavy-ion collisions,” Physics Letters B, vol. 314, no. 1, pp. 118–121, 1993. View at Publisher · View at Google Scholar
  21. S. Mrowczynski, “Color collective effects at the early stage of ultrarelativistic heavy-ion collisions,” Physical Review C, vol. 49, no. 4, pp. 2191–2197, 1994. View at Publisher · View at Google Scholar
  22. S. Mrowczynski, “Color filamentation in ultrarelativistic heavy-ion collisions,” Physics Letters B, vol. 393, no. 1-2, pp. 26–30, 1997. View at Publisher · View at Google Scholar
  23. S. Mrowczynski, “Instabilities driven equilibration of the quark—gluon plasma,” Acta Physica Polonica B, vol. 37, pp. 427–454, 2006. View at Google Scholar
  24. P. Arnold, J. Lenghan, G. D. Moore, and L. G. Yaffe, “apparent thermalization due to plasma instabilities in the quark-gluon plasma,” Physical Review Letters, vol. 94, no. 7, Article ID 072302, 4 pages, 2005. View at Publisher · View at Google Scholar
  25. A. Rebhan, P. Romatschke, and M. Strickland, “Hard-loop dynamics of non-abelian plasma instabilities,” Physical Review Letters, vol. 94, no. 10, Article ID 102303, 4 pages, 2005. View at Publisher · View at Google Scholar
  26. P. Romatschke and R. venugopalan, “Collective non-abelian instabilities in a melting color glass condensate,” Physical Review Letters, vol. 96, no. 6, Article ID 062302, 4 pages, 2006. View at Publisher · View at Google Scholar
  27. M. Strickland, “The chromo-weibel instability,” Brazilian Journal of Physics, vol. 37, no. 2, p. 702, 2007. View at Publisher · View at Google Scholar
  28. P. Romatschke and M. Strickland, “Collective modes of an anisotropic quark-gluon plasma,” Physical Review D, vol. 68, no. 3, Article ID 036004, 8 pages, 2003. View at Publisher · View at Google Scholar
  29. P. Romatschke and M. Strickland, “Collective modes of an anisotropic quark-gluon plasma: II,” Physical Review D, vol. 70, no. 11, Article ID 116006, 9 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
  30. P. Romatschke and M. Stricland, “Collisional energy loss of a heavy quark in an anisotropic quark-gluon plasma,” Physical Review D, vol. 71, no. 12, Article ID 125008, 2005. View at Publisher · View at Google Scholar
  31. P. Romatschke, “Momentum broadening in an anisotropic plasma,” Physical Review C, vol. 75, no. 1, Article ID 014901, 8 pages, 2007. View at Publisher · View at Google Scholar
  32. P. Roy and A. K. Dutt-Mazumder, “Radiative energy loss in an anisotropic quark-gluon plasma,” Physical Review C, vol. 83, no. 4, Article ID 044904, 6 pages, 2011. View at Google Scholar
  33. J. Ruppert and B. Muller, “Waking the colored plasma,” Physics Letters B, vol. 618, no. 1–4, pp. 123–130, 2005. View at Publisher · View at Google Scholar
  34. P. Chakraborty, M. G. Mustafa, and M. H. Thoma, “Wakes in the quark-gluon plasma,” Physical Review D, vol. 74, no. 9, Article ID 094002, 16 pages, 2006. View at Google Scholar
  35. P. Chakraborty, M. G. Mustafa, R. Ray, and M. H. Thoma, “Wakes in a collisional quark-gluon plasma,” Journal of Physics G, vol. 34, no. 10, p. 2141, 2007. View at Publisher · View at Google Scholar
  36. B.-F. Jiang and J.-R. Li, “The wake potential in the viscous quark-gluon plasma,” Nuclear Physics A, vol. 856, no. 1, pp. 121–133, 2011. View at Publisher · View at Google Scholar · View at Scopus
  37. B.-f. Jiang and J.-r. Li, “The polarized charge distribution induced by a fast parton in the viscous quark-gluon plasma,” Journal of Physics G, vol. 39, no. 2, Article ID 025007, 2012. View at Publisher · View at Google Scholar
  38. M. Mandal and P. Roy, “Wake in anisotropic quark-gluon plasma,” Physical Review D, vol. 86, no. 11, Article ID 114002, 9 pages, 2012. View at Publisher · View at Google Scholar
  39. L. Bhattacharya and P. Roy, “Photons from anisotropic quark-gluon plasma,” Physical Review C, vol. 78, no. 6, Article ID 064904, 2008. View at Publisher · View at Google Scholar
  40. L. Bhattacharya and P. Roy, “Rapidity distribution of photons from an anisotropic quark-gluon plasma,” Physical Review C, vol. 81, no. 5, Article ID 054904, 2010. View at Publisher · View at Google Scholar
  41. B. Schenke and M. Stricland, “Photon production from an anisotropic quark-gluon plasma,” Physical Review D, vol. 76, no. 2, Article ID 025023, 5 pages, 2007. View at Publisher · View at Google Scholar
  42. M. Martinez and M. Strickland, “Measuring quark-gluon-plasma thermalization time with dileptons,” Physical Review Letters, vol. 100, no. 10, Article ID 102301, 4 pages, 2008. View at Publisher · View at Google Scholar
  43. M. Martinez and M. Strickland, “Pre-equilibrium dilepton production from an anisotropic quark-gluon plasma,” Physical Review C, vol. 78, no. 3, Article ID 034917, 19 pages, 2008. View at Publisher · View at Google Scholar
  44. M. Mandal, L. Bhattacharya, and P. Roy, “Nuclear modification factor in an anisotropic quark-gluon plasma,” Physical Review C, vol. 84, no. 4, Article ID 044910, 10 pages, 2011. View at Publisher · View at Google Scholar
  45. M. Martinez and M. Strickland, “Dissipative dynamics of highly anisotropic systems,” Nuclear Physics A, vol. 848, no. 1-2, pp. 183–197, 2010. View at Publisher · View at Google Scholar
  46. M. Martinez and M. Strickland, “Non-boost-invariant anisotropic dynamics,” Nuclear Physics A, vol. 856, no. 1, pp. 68–87, 2011. View at Publisher · View at Google Scholar
  47. K. Kajantie, J. Kapusta, L. McLerran, and A. Mekjian, “Dilepton emission and the QCD phase transition in ultrarelativistic nuclear collisions,” Physical Review D, vol. 34, no. 9, pp. 2746–2754, 1986. View at Publisher · View at Google Scholar · View at Scopus
  48. A. Dumitru, Y. Guo, and M. Strickland, “The heavy-quark potential in an anisotropic plasma,” Physics Letters B, vol. 662, no. 1, pp. 37–42, 2008. View at Publisher · View at Google Scholar
  49. J. P. Blaizot and E. Iancu, “The quark-gluon plasma: collective dynamics and hard thermal loops,” Physics Reports, vol. 359, no. 5-6, pp. 155–528, 2002. View at Publisher · View at Google Scholar
  50. B. Schenke, M. Strickland, C. Greiner, and M. Thoma, “Model of the effect of collisions on QCD plasma instabilities,” Physical Review D, vol. 73, no. 12, Article ID 125004, 12 pages, 2006. View at Publisher · View at Google Scholar
  51. A. Dumitru, Y. Gao, A. Mocsy, and M. Strickland, “Quarkonium states in an anisotropic QCD plasma,” Physical Review D, vol. 79, no. 5, Article ID 054019, 10 pages, 2009. View at Publisher · View at Google Scholar
  52. F. Karsch, M. T. Mehr, and H. Satz, “Color screening and deconfinement for bound states of heavy quarks,” Zeitschrift für Physik C, vol. 37, no. 4, pp. 617–622, 1988. View at Publisher · View at Google Scholar · View at Scopus
  53. I. D. Sudiarta and D. J. W. Geldart, “Solving the Schrödinger equation using the finite difference time domain method,” Journal of Physics A, vol. 40, no. 8, pp. 1885–1896, 2007. View at Publisher · View at Google Scholar · View at Scopus
  54. M. Margotta, K. McCarty, C. McGahan, M. Strickland, and D. Yager-Elorriaga, “Quarkonium states in a complex-valued potential,” Physical Review D, vol. 83, Article ID 105019, 2011. View at Publisher · View at Google Scholar
  55. A. Dumitru, Y. Gao, and M. Strickland, “Imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma,” Physical Review D, vol. 79, no. 11, Article ID 114003, 7 pages, 2009. View at Publisher · View at Google Scholar
  56. M. Strickland, “Thermal Υ(1s) and χb1 Suppression at (sNN)=2.76  TeV Pb-Pb Collisions at the LHC,” Physical Review Letters, vol. 107, no. 13, Article ID 132301, 4 pages, 2011. View at Publisher · View at Google Scholar
  57. M. Strickland and D. Bazow, “Thermal bottomonium suppression at RHIC and LHC,” Nuclear Physics A, vol. 879, pp. 25–58, 2012. View at Publisher · View at Google Scholar · View at Scopus
  58. X.-M. Xu, D. Kharzeev, H. Satz, and X.-N. Wang, “J/ψ suppression in an equilibrating parton plasma,” Physical Review C, vol. 53, no. 6, pp. 3051–3056, 1996. View at Publisher · View at Google Scholar · View at Scopus
  59. G. Bhanot and M. E. Peskin, “Short-distance analysis for heavy-quark systems. (II). Applications,” Nuclear Physics B, vol. 156, no. 3, pp. 391–416, 1979. View at Google Scholar · View at MathSciNet · View at Scopus
  60. D. Kharzeev and H. Satz, “Colour deconfinement and quarkonium dissociation,” in Quark-Gluon Plasma II, R. C. Hwa, Ed., World Scientific, Singapore, 1995. View at Google Scholar
  61. M. Gyulassy and X. N. Wang, “Multiple collisions and induced gluon bremsstrahlung in QCD,” Nuclear Physics B, vol. 420, no. 3, pp. 583–614, 1994. View at Publisher · View at Google Scholar
  62. M. Djordjevic, “Theoretical formalism of radiative jet energy loss in a finite size dynamical QCD medium,” Physical Review C, vol. 80, no. 6, Article ID 064909, 27 pages, 2009. View at Publisher · View at Google Scholar
  63. J. F. Owens, “Large-momentum-transfer production of direct photons, jets, and particles,” Reviews of Modern Physics, vol. 59, no. 2, pp. 465–503, 1987. View at Publisher · View at Google Scholar
  64. P. Roy, A. K. Dutt-Mazumder, and J.-E. Alam, “Energy loss and dynamical evolution of quark pT spectra,” Physical Review C, vol. 73, no. 4, Article ID 044911, 4 pages, 2006. View at Publisher · View at Google Scholar
  65. X. N. Wang, “Effects of jet quenching on high pT hadron spectra in high-energy nuclear collisions,” Physical Review C, vol. 58, no. 4, pp. 2321–2330, 1998. View at Publisher · View at Google Scholar
  66. S. Turbide, C. Gale, S. Jeon, and G. D. Moore, “Energy loss of leading hadrons and direct photon production in evolving quark-gluon plasma,” Physical Review C, vol. 72, no. 1, Article ID 014906, 15 pages, 2005. View at Publisher · View at Google Scholar
  67. S. S. Adler, S. Afanasiev, C. Aidala et al., “Common suppression pattern of η and π0 mesons at high transverse momentum in Au+Au collisions at (sNN)=200 GeV,” Physical Review Letters, vol. 96, no. 20, Article ID 202301, 6 pages, 2006. View at Google Scholar
  68. N. A. Krall and A. W. Trivilpiece, Principles of Plasma Physics, McGraw-Hill, New York, NY, USA, 1973.
  69. S. Ichimaru, Basic Principles of Plasma Physics, W. A. Benjamin, Menlo Park, Calif, USA, 1973.
  70. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Butterworth-Heinemann, Woburn, Mass, USA, 2nd edition, 1987.
  71. W. J. Miloch, “Wake effects and Mach cones behind objects,” Plasma Physics and Controlled Fusion, vol. 52, no. 12, Article ID 124004, 2010. View at Publisher · View at Google Scholar · View at Scopus
  72. P. Romatschke and M. strickland, “Energy loss of a heavy fermion in an anisotropic QED plasma,” Physical Review D, vol. 69, no. 6, Article ID 065005, 13 pages, 2005. View at Google Scholar
  73. P. Romatschke and M. strickland, “Collisional energy loss of a heavy quark in an anisotropic quark-gluon plasma,” Physical Review D, vol. 71, no. 12, Article ID 125008, 12 pages, 2005. View at Publisher · View at Google Scholar
  74. M. E. Carrington, K. Deja, and S. Mrówczyński, “Energy loss in unstable quark-gluon plasma with extremely prolate momentum distribution,” Acta Physica Polonica B, vol. 6, supplement, p. 545, 2013. View at Publisher · View at Google Scholar
  75. A. Rebhan and D. Steineder, “Electromagnetic signatures of a strongly coupled anisotropic plasma,” Journal of High Energy Physics, vol. 2011, article 153, 2011. View at Publisher · View at Google Scholar
  76. D. Mateos and D. Trancanelli, “Anisotropic N=4 Super-Yang-Mills Plasma and Its Instabilities,” Physical Review Letters, vol. 107, no. 10, 4 pages, 2011. View at Publisher · View at Google Scholar
  77. D. Mateos and D. Trancanelli, “Thermodynamics and instabilities of a strongly coupled anisotropic plasma,” Journal of High Energy Physics, vol. 2011, article 54, 2011. View at Publisher · View at Google Scholar