Transport coefficients, spectral functions and the lattice

Journal of High Energy Physics

Volumn 6, Issue 4, 2002, Pages 1319-1336

  Aarts, Gert ^a   Resco, Jose María Martínez ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Lattice Quantum Field Theory; Thermal Field Theory

Indexed keywords

EID: 23044450658     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/04/053     Document Type: Article

References (33)

1. For ideal hydrodynamics, see e.g., P.F. Kolb, U.W. Heinz, P. Huovinen, K.J. Eskola and K. Tuominen, Centrality dependence of multiplicity, transverse energy and elliptic flow from hydrodynamics, Nucl. Phys. A 696 (2001) 197 [hep-ph/0103234];
2. D. Teaney, J. Lauret and E.V. Shuryak, A hydrodynamic description of heavy ion collisions at the SPS and RHIC, nucl-th/0110037, and references therein.
3. A. Muronga, Second order dissipative fluid dynamics for ultra-relativistic nuclear collisions, Phys. Rev. Lett. 88 (2002) 062302 [nucl-th/0104064].
4. S. Jeon, Hydrodynamic transport coefficients in relativistic scalar field theory, Phys. Rev. D 52 (1995) 3591 [hep-ph/9409250].
5. S. Jeon and L.G. Yaffe, From quantum field theory to hydrodynamics: transport coefficients and effective kinetic theory, Phys. Rev. D 53 (1996) 5799 [hep-ph/9512263].
6. 4 theory in real time, Phys. Lett. B 471 (1999) 208 [hep-ph/9910367];
7. Shear viscosity of hot scalar field theory in the real-time formalism, hep-th/0201116.
8. J.M. Martinez Resco and M.A. Valle Basagoiti, Color conductivity and ladder summation in hot QCD, Phys. Rev. D 63 (2001) 056008 [hep-ph/0009331].
9. R.D. Pisarski, Medley in finite temperature field theory, hep-ph/9302241.
10. P. Arnold, G.D. Moore and L.G. Yaffe, Transport coefficients in high temperature gauge theories, 1. Leading-log results, J. High Energy Phys. 11 (2000) 001 [hep-ph/0010177].
11. F. Karsch and H.W. Wyld, Thermal Green's functions and transport coefficients on the lattice, Phys. Rev. D 35 (1987) 2518.
12. F. Karsch, E. Laermann, P. Petreczky, S. Stickan and I. Wetzorke, A lattice calculation of thermal dilepton rates, Phys. Lett. B 530 (2002) 147 [hep-lat/0110208];
13. I. Wetzorke, F. Karsch, E. Laermann, P. Petreczky and S. Stickan, Meson spectral functions at finite temperature, Nucl. Phys. 106 (Proc. Suppl.) (2002) 510 [hep-lat/0110132];
14. Temporal quark and gluon propagators: measuring the quasiparticle masses, Nucl. Phys. 106 (Proc. Suppl.) (2002) 513 [hep-lat/0110111];
15. For an early study, see QCD-TARO collaboration, P. de Forcrand et al., Spectral analysis, Nucl. Phys. 98 (Proc. Suppl.) (1998) 460.
16. For zero temperature, see M. Asakawa, T. Hatsuda and Y. Nakahara, Maximum entropy analysis of the spectral functions in lattice QCD, Prog. Part. Nucl. Phys. 46 (2001) 459 [hep-lat/0011040];
17. CP-PACS collaboration, T. Yamazaki et al., Spectral function and excited states in lattice QCD with maximum entropy method, Phys. Rev. D 65 (2002) 014501 [hep-lat/0105030].
18. G. Aarts, Spectral function at high temperature in the classical approximation, Phys. Lett. B 518 (2001) 315 [hep-ph/0108125];
19. Spectral function at high temperature, Nucl. Phys. 106 (Proc. Suppl.) (2002) 534 [hep-lat/0109024].
20. A. Nakamura, S. Sakai and K. Amemiya, Transport coefficients of quark gluon plasma for pure gauge models, Nucl. Phys. 53 (Proc. Suppl.) (1997) 432 [hep-lat/9608052].
21. A. Nakamura, T. Saito and S. Sakai, Numerical results for transport coefficients of quark gluon plasma with Iwasaki's improved action, Nucl. Phys. 63 (Proc. Suppl.) (1998) 424 [hep-lat/9710010];
22. Transport coefficients of quark gluon plasma from lattice gauge theory, Nucl. Phys. A 638 (1998) 535 [hep-lat/9810031];
23. Anisotropic lattice and its application to quark gluon plasma, Nucl. Phys. 106 (Proc. Suppl.) (2002) 543 [hep-lat/0110177].
24. R.R. Parwani, Resummation in a hot scalar field theory, Phys. Rev. D 45 (1992) 4695 [hep-ph/9204216], erratum ibid. D 48 (1992) 5965.
25. 4 theory, Phys. Rev. D 53 (1996) 899 [hep-ph/9509333].
26. E.-K. Wang, U.W. Heinz and X.-F. Zhang, Spectral functions for composite fields and viscosity in hot scalar field theory, Phys. Rev. D 53 (1996) 5978 [hep-ph/9509331].
27. Guy Moore, private communication.
28. E. Braaten and R.D. Pisarski, Soft amplitudes in hot gauge theories: a general analysis, Nucl. Phys. B 337 (1990) 569.
29. M. Le Bellac, Thermal field theory, Cambridge University Press, Cambridge 1996.
30. J.-P. Blaizot and E. Iancu, The quark-gluon plasma: collective dynamics and hard thermal loops, Phys. Rept. 359 (2002) 355 [hep-ph/0101103].
31. R.D. Pisarski, Damping rates for moving particles in hot QCD, Phys. Rev. D 47 (1993) 5589.
32. J.-P. Blaizot and E. Iancu, Lifetimes of quasiparticles and collective excitations in hot QED plasmas, Phys. Rev. D 55 (1997) 973 [hep-ph/9607303].
33. G. Baym, H. Monien, C.J. Pethick and D.G. Ravenhall, Transverse interactions and transport in relativistic quark-gluon and electromagnetic plasmas, Phys. Rev. Lett. 64 (1990) 1867.