Thermodynamical second-order hydrodynamic coefficients

Journal of High Energy Physics

Volumn 2012, Issue 11, 2012, Pages

  Moore, Guy D ^a   Sohrabi, Kiyoumars A ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Lattice QCD; QCD; Quark Gluon Plasma; Thermal Field Theory

Indexed keywords

EID: 84876255992     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2012)148     Document Type: Article

References (57)

1. 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 ].
2. B. Back, M. Baker, M. Ballintijn, D. Barton, B. Becker, et al., The PHOBOS perspective on discoveries at RHIC, Nucl. Phys. A 757 (2005) 28 [ nucl-ex/0410022 ] [ INSPIRE ].
3. BRAHMS collaboration, I. Arsene et al., Quark gluon plasma and color glass condensate at RHIC? the perspective from the BRAHMS experiment, Nucl. Phys. A 757 (2005) 1 [ nucl-ex/0410020 ] [ INSPIRE ].
4. 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 ].
5. D. Teaney, J. Lauret and E.V. Shuryak, Flow at the SPS and RHIC as a quark gluon plasma signature, Phys. Rev. Lett. 86 (2001) 4783 [ nucl-th/0011058 ] [ INSPIRE ]. (Pubitemid 32505506)
6. P. Huovinen, P. Kolb, U.W. Heinz, P. Ruuskanen and S. Voloshin, Radial and elliptic flow at RHIC: further predictions, Phys. Lett. B 503 (2001) 58 [ hep-ph/0101136 ] [ INSPIRE ].
7. P. Kolb, U.W. Heinz, P. Huovinen, K. Eskola and K. Tuominen, Centrality dependence of multiplicity, transverse energy and elliptic flow from hydrodynamics, Nucl. Phys. A 696 (2001) 197 [ hep-ph/0103234 ] [ INSPIRE ].
8. T. Hirano and K. Tsuda, Collective flow and two pion correlations from a relativistic hydrodynamic model with early chemical freezeout, Phys. Rev. C 66 (2002) 054905 [ nucl-th/0205043 ] [ INSPIRE ].
9. P.F. Kolb and R. Rapp, Transverse flow and hadrochemistry in Au+Au collisions at √SNN=200,GeV, Phys. Rev. C 67 (2003) 044903 [ hep-ph/0210222 ] [ INSPIRE ].
10. G. Baym, H. Monien, C. Pethick and D. Ravenhall, Transverse interactions and transport in relativistic quark-gluon and electromagnetic plasmas, Phys. Rev. Lett. 64 (1990) 1867 [ INSPIRE ].
11. P.B. Arnold, G.D. Moore and L.G. Yaffe, Transport coefficients in high temperature gauge theories. 2. Beyond leading log, JHEP 05 (2003) 051 [ hep-ph/0302165 ] [ INSPIRE ].
12. G. Policastro, D. Son and A. Starinets, The shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [ hep-th/0104066 ] [ INSPIRE ].
13. P. Kovtun, D. Son and A. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [ hep-th/0405231 ] [ INSPIRE ]. (Pubitemid 40607100)
14. S. Borsányi, G. Endrodi, Z. Fodor, A. Jakovac, S.D. Katz, et al., The QCD equation of state with dynamical quarks, JHEP 11 (2010) 077 [ arXiv:1007.2580 ] [ INSPIRE ].
15. A. Bazavov, T. Bhattacharya, M. Cheng, N. Christ, C. DeTar, et al., Equation of state and QCD transition at finite temperature, Phys. Rev. D 80 (2009) 014504 [ arXiv:0903.4379 ] [ INSPIRE ].
16. Y. Aoki, Z. Fodor, S. Katz and K. Szabo, The equation of state in lattice QCD: with physical quark masses towards the continuum limit, JHEP 01 (2006) 089 [ hep-lat/0510084 ] [ INSPIRE ]. (Pubitemid 43498868)
17. C. Allton, S. Ejiri, S. Hands, O. Kaczmarek, F. Karsch, et al., The equation of state for two flavor QCD at nonzero chemical potential, Phys. Rev. D 68 (2003) 014507 [ hep-lat/0305007 ] [ INSPIRE ].
18. C. Allton, S. Ejiri, S. Hands, O. Kaczmarek, F. Karsch, et al., The QCD thermal phase transition in the presence of a small chemical potential, Phys. Rev. D 66 (2002) 074507 [ hep-lat/0204010 ] [ INSPIRE ].
19. F. Karsch, E. Laermann and A. Peikert, The pressure in two flavor, (2 + 1)-flavor and three flavor QCD, Phys. Lett. B 478 (2000) 447 [ hep-lat/0002003 ] [ INSPIRE ].
20. F. Karsch, S. Ejiri and K. Redlich, Hadronic fluctuations in the QGP, Nucl. Phys. A 774 (2006) 619 [ hep-ph/0510126 ] [ INSPIRE ].
21. S. Bhattacharyya, Constraints on the second order transport coefficients of an uncharged fluid, JHEP 07 (2012) 104 [ arXiv:1201.4654 ] [ INSPIRE ].
22. K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz, et al., Towards hydrodynamics without an entropy current, Phys. Rev. Lett. 109 (2012) 101601 [ arXiv:1203.3556 ] [ INSPIRE ].
23. N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Jain, S. Minwalla, et al., Constraints on fluid dynamics from equilibrium partition functions, JHEP 09 (2012) 046 [ arXiv:1203.3544 ] [ INSPIRE ].
24. P. Romatschke, Relativistic viscous fluid dynamics and non-equilibrium entropy, Class. Quant. Grav. 27 (2010) 025006 [ arXiv:0906.4787 ] [ INSPIRE ].
25. R. Baier, P. Romatschke, D.T. Son, A.O. Starinets and M.A. Stephanov, Relativistic viscous hydrodynamics, conformal invariance and holography, JHEP 04 (2008) 100 [ arXiv:0712.2451 ] [ INSPIRE ].
26. C. Schaefer, Computation of the 2nd order transport coefficient κ in the gluon plasma, poster presented at Strong and Electroweak Matter 2012, Swansea University, Swansea U.K. (2012).
27. P. Romatschke, New developments in relativistic viscous hydrodynamics, Int. J. Mod. Phys. E 19 (2010) 1 [ arXiv:0902.3663 ] [ INSPIRE ].
28. D.A. Teaney, Viscous hydrodynamics and the quark gluon plasma, arXiv:0905.2433 [ INSPIRE ].
29. G. Aarts and J.M. Martinez Resco, Transport coefficients from the lattice?, Nucl. Phys. Proc. Suppl. 119 (2003) 505 [ hep-lat/0209033 ] [ INSPIRE ]. (Pubitemid 36593663)
30. G. Aarts and J.M. Martinez Resco, Transport coefficients, spectral functions and the lattice, JHEP 04 (2002) 053 [ hep-ph/0203177 ] [ INSPIRE ].
31. H.B. Meyer, Computing the viscosity of the QGP on the lattice, Prog. Theor. Phys. Suppl. 174 (2008) 220 [ arXiv:0805.4567 ] [ INSPIRE ].
32. H.B. Meyer, Transport properties of the quark-gluon plasma from lattice QCD, Nucl. Phys. A 830 (2009) 641C-648C [ arXiv:0907.4095 ] [ INSPIRE ].
33. H.B. Meyer, Transport properties of the quark-gluon plasma: a lattice QCD perspective, Eur. Phys. J. A 47 (2011) 86 [ arXiv:1104.3708 ] [ INSPIRE ].
34. Y. Burnier and M. Laine, Towards flavour diffusion coefficient and electrical conductivity without ultraviolet contamination, Eur. Phys. J. C 72 (2012) 1902 [ arXiv:1201.1994 ] [ INSPIRE ].
35. J. Schukraft, Results from the first heavy ion run at the LHC, J. Phys. Conf. Ser. 381 (2012) 012011 [ arXiv:1112.0550 ] [ INSPIRE ].
36. PHENIX collaboration, S. Esumi, Collective flow measurements from the PHENIX experiment, J. Phys. G 38 (2011) 124010 [ arXiv:1110.3223 ] [ INSPIRE ].
37. s = 200 GeV, J. Phys. G 38 (2011) 124048 [ arXiv:1108.0457 ] [ INSPIRE ].
38. STAR collaboration, H. Agakishiev et al., Evolution of the differential transverse momentum correlation function with centrality in Au+Au collisions at √sNN=200,GeV , Phys. Lett. B 704 (2011) 467 [ arXiv:1106.4334 ] [ INSPIRE ].
39. J. Dias de Deus, A. Hirsch, C. Pajares, R. Scharenberg and B. Srivastava, Clustering of color sources and the shear viscosity of the QGP in central A-A collisions at RHIC and LHC energies, arXiv:1106.4271 [ INSPIRE ].
40. ALICE collaboration, A. Dainese, First ALICE results from heavy-ion collisions at the LHC, arXiv:1106.1341 [ INSPIRE ].
41. G.D. Moore and K.A. Sohrabi, Kubo formulae for second-order hydrodynamic coefficients, Phys. Rev. Lett. 106 (2011) 122302 [ arXiv:1007.5333 ] [ INSPIRE ].
42. P. Romatschke and D.T. Son, Spectral sum rules for the quark-gluon plasma, Phys. Rev. D 80 (2009) 065021 [ arXiv:0903.3946 ] [ INSPIRE ].
43. L.E. Parker and D.J. Toms, Quantum field theory in curved spacetime, Cambridge University Press, Cambridge U.K. (2009).
44. B.S. DeWitt, The global approach to quantum field theory. Vol. 1, 2, Int. Ser. Monogr. Phys. 114 (2003)1 [ INSPIRE ].
45. M. Lüscher, Computational strategies in lattice QCD, arXiv:1002.4232 [ INSPIRE ].
46. S. Caron-Huot, Asymptotics of thermal spectral functions, Phys. Rev. D 79 (2009) 125009 [ arXiv:0903.3958 ] [ INSPIRE ].
47. F. Karsch, SU(N) gauge theory couplings on asymmetric lattices, Nucl. Phys. B 205 (1982) 285 [ INSPIRE ].
48. S. Caracciolo, G. Curci, P. Menotti and A. Pelissetto, The energy momentum tensor for lattice gauge theories, Annals Phys. 197 (1990) 119 [ INSPIRE ].
49. T.R. Klassen, The anisotropic Wilson gauge action, Nucl. Phys. B 533 (1998) 557 [ hep-lat/9803010 ] [ INSPIRE ].
50. J. Engels, F. Karsch and T. Scheideler, Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods, Nucl. Phys. B 564 (2000) 303 [ hep-lat/9905002 ] [ INSPIRE ].
51. P. Arnold, D. Vaman, C. Wu and W. Xiao, Second order hydrodynamic coefficients from 3-point stress tensor correlators via AdS/CFT, JHEP 10 (2011) 033 [ arXiv:1105.4645 ] [ INSPIRE ].
52. H.B. Meyer, A calculation of the shear viscosity in SU(3) gluodynamics, Phys. Rev. D 76 (2007) 101701 [ arXiv:0704.1801 ] [ INSPIRE ].
53. H.B. Meyer, Finite temperature sum rules in lattice gauge theory, Nucl. Phys. B 795 (2008) 230 [ arXiv:0711.0738 ] [ INSPIRE ].
54. S. Bhattacharyya, V.E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear fluid dynamics from gravity, JHEP 02 (2008) 045 [ arXiv:0712.2456 ] [ INSPIRE ].
55. O. Saremi and K.A. Sohrabi, Causal three-point functions and nonlinear second-order hydrodynamic coefficients in AdS/CFT, JHEP 11 (2011) 147 [ arXiv:1105.4870 ] [ INSPIRE ].
56. T. Banks and A. Zaks, On the phase structure of vector-like gauge theories with massless fermions, Nucl. Phys. B 196 (1982) 189 [ INSPIRE ].
57. A. Campos and E. Verdaguer, Semiclassical equations for weakly inhomogeneous cosmologies, Phys. Rev. D 49 (1994) 1861 [ gr-qc/9307027 ] [ INSPIRE ].