Lattice quantum chromodynamics equation of state: A better differential method

Pramana - Journal of Physics

Volumn 71, Issue 3, 2008, Pages 487-508

  Gavai, Rajiv V ^a   Gupta, Sourendu ^a   Mukherjee, Swagato ^a,b  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b BIELEFELD UNIVERSITY   (Germany)

Author keywords

Finite temperature field theory; Lattice gauge theory; Quantum chromodynamics

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); QUANTUM THEORY;

DIFFERENTIAL METHODS; ENERGY DENSITIES; ENTROPY DENSITY; EQUATION OF STATE; FINITE TEMPERATURE FIELD THEORY; LATTICE GAUGE THEORY; LATTICE QUANTUM CHROMODYNAMICS; LATTICE SIMULATIONS; LATTICE SPACINGS; QUANTUM CHROMODYNAMICS; TRANSITION REGION;

EQUATIONS OF STATE;

EID: 52649099441     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12043-008-0126-9     Document Type: Article

References (55)

1. PHENIX Collaboration: K Adcox et al, Nucl. Phys. A757, 184 (2005)
2. BRAHMS Collaboration: I Arsene et al, Nucl. Phys. A757, 1 (2005)
3. PHOBOS Collaboration: B B Back et al, Nucl. Phys. A757, 28 (2005)
4. STAR Collaboration: J Adams et al, Nucl. Phys. A757, 102 (2005)
5. G Boyd et al, Phys. Rev. Lett. 75, 4169 (1995);
6. Nucl. Phys. B469, 419 (1996)
7. R V Gavai, S Gupta and S Mukherjee, Phys. Rev. D71, 074013 (2005)
8. S Gupta, Phys. Lett. B597, 57 (2004)
9. S Gupta, Pramana - J. Phys. 61, 877 (2003)
10. P Arnold and C Zhai, Phys. Rev. D50, 7603 (1994);
11. ibid D51, 1906 (1995)
12. E Braaten and A Nieto, Phys. Rev. D53, 3421 (1996)
13. K Kajantie et al, Phys. Rev. Lett. 86, 10 (2001);
14. J. High Energy Phys. 0304, 036 (2003)
15. A Peshier, Nucl. Phys. A702, 128 (2002)
16. J O Andersen et al, Phys. Rev. D66, 085016 (2002)
17. J-P Blaizot, E Iancu and A Rebhan, Phys. Rev. D63, 065003 (2001)
18. K Kajantie et al, Phys. Rev. Lett. 86, 10 (2001)
19. A Dumitru, J Lenaghan and R D Pisarski, Phys. Rev. D71, 074004 (2005)
20. B Grossman et al, Nucl. Phys. B417, 289 (1994)
21. K Kajantie et al, Phys. Rev. Lett. 79, 3130 (1997)
22. S Datta and S Gupta, Nucl. Phys. B534, 392 (1998)
23. M Laine and O Philipsen, Phys. Lett. B459, 259 (1999)
24. S Datta and S Gupta, Phys. Rev. D67, 054503 (2003)
25. A Hart, M Laine and O Philipsen, Nucl. Phys. B586, 443 (2000)
26. QCD-TARO Collaboration: P de Forcrand et al, Phys. Rev. D63, 054501 (2001)
27. S S Gubser, I R Klebanov and A A Tseytlin, Nucl. Phys. B534, 202 (1998) I R Klebanov, hep-th/0009139
28. P Kovtun, D T Son and A Starinets, J. High Energy Phys. 0310, 064 (2003)
29. D Teaney, Phys. Rev. C68, 034913 (2003)
30. A Nakamura and S Sakai, Phys. Rev. Lett. 94, 072305 (2005)
31. H B Meyer, Phys. Rev. D76, 101701 (2007); ibid. arXiv:0710.3717[hep-lat]
32. J Engels et al, Nucl. Phys. B205, 545 (1982)
33. Y Deng, Nucl. Phys. (Proc. Suppl.) B9, 334 (1989)
34. J Engels, J Fingberg, F Karsch, D Miller and M Weber, Nucl. Phys. B252, 625 (1990)
35. W H Press et al, Numerical recipes (Cambridge University Press, Cambridge, 1986)
36. S Ejiri, Y Iwasaki and K Kanaya, Phys. Rev. D58, 094505 (1998)
37. L Stodolsky, Phys. Rev. Lett. 75, 1044 (1995)
38. R S Bhalerao, J P Blaizot, N Borghini and J Y Ollitrault, Phys. Lett. B627, 49 (2005)
39. c
40. See, for example, L D Landau and E M Lifschitz, Fluid mechanics (Reed Elsevier Plc, Oxford, 1998) p. 254
41. R V Gavai and A Gocksch, Phys. Rev. D33, 614 (1986)
42. See, for example, S Aoki et al, Nucl. Phys. (Proc. Suppl.) B106, 477 (2002)
43. A Hasenfratz and P Hasenfratz, Nucl. Phys. B193, 210 (1981)
44. F Karsch, Nucl. Phys. B205, 285 (1982)
45. S Datta and R V Gavai, Phys. Rev. D60, 034505 (1999)
46. S Gupta, Phys. Rev. D64, 034507 (2001)
47. G P Lepage and P B Mackenzie, Phys. Rev. D48, 2250 (1993)
48. R G Edwards, U M Heller and T R Klassen, Nucl. Phys. B517, 377 (1998)
49. U M Heller and F Karsch, Nucl. Phys. B251, 254 (1985)
50. We thank Kari Rummukainen, Keijo Kajantie and Jürgen Engels for discussions on this point
51. J Engels, F Karsch and T Scheideler, Nucl. Phys. B564, 303 (2000)
52. S Datta and S Gupta, Phys. Lett. B471, 382 (2000)
53. O Kaczmarek et al, Phys. Rev. D62, 034021 (2001)
54. K Kajantie et al, Phys. Rev. D67, 105008 (2003)
55. L Lyons, Statistics for nuclear and particle physicists (Cambridge University Press, Cambridge, 1992)