The QCD equation of state from the lattice

Progress in Particle and Nuclear Physics

Volumn 70, Issue , 2013, Pages 55-107

  Philipsen, Owe ^a  

^a GOETHE UNIVERSITY   (Germany)

Author keywords

Lattice QCD; QCD equation of state; QCD phase transition; Quark gluon plasma

Indexed keywords

CONTINUUM LIMITS; EQUATION OF STATE; FINITE TEMPERATURES; FIRST-PRINCIPLES CALCULATION; HEAVY ION COLLISION; LATTICE QCD; QUARK-GLUON PLASMA; THE STANDARD MODEL;

COLLIDING BEAM ACCELERATORS; FERMIONS; NUCLEAR PHYSICS; QUANTUM THEORY;

EQUATIONS OF STATE;

EID: 84875666479     PISSN: 01466410     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ppnp.2012.09.003     Document Type: Review

References (151)

1. P.F. Kolb, U.W. Heinz, In: Hwa, R.C. et al. (eds.) Quark Gluon Plasma, pp. 634-714 [ nucl-th/0305084 ].
2. M. Hindmarsh, and O. Philipsen Phys. Rev. D 71 2005 087302 hep-ph/0501232
3. J.I. Kapusta, C. Gale, Cambridge, UK: Univ. Pr. (2006) 428 p.
4. R.D. Pisarski, and F. Wilczek Phys. Rev. D 29 1984 338
5. F. Karsch, E. Laermann, and C. Schmidt Phys. Lett. B 520 2001 41 arXiv:hep-lat/0107020
6. P. de Forcrand, and O. Philipsen Nuclear Phys. B 673 2003 170 arXiv:hep-lat/0307020
7. Y. Aoki, G. Endrödi, Z. Fodor, S.D. Katz, and K.K. Szabo Nature 443 2006 675 hep-lat/0611014
8. P. de Forcrand, and O. Philipsen J. High Energy Phys. 0701 2007 077 hep-lat/0607017
9. O. Philipsen Acta Phys. Polon. Supp. B 5 2012 825 arXiv:1111.5370 [hep-ph]
10. P. de Forcrand PoS LAT2009 2009 010 arXiv:1005.0539 [hep-lat]
11. C. Amsler Particle Data Group Collaboration Phys. Lett. B 667 2008 1
12. F. Karsch, K. Redlich, and A. Tawfik Eur. Phys. J. C. 29 2003 549 hep-ph/0303108
13. J. Langelage, and O. Philipsen J. High Energy Phys. 1004 2010 055 arXiv:1002.1507 [hep-lat]
14. I. Montvay, and G. Münster Quantum Fields on a Lattice Cambridge Monographs on Mathematical Physics vol. 491 1994 Univ. Pr. Cambridge, UK
15. H.J. Rothe World Sci. Lect. Notes Phys. 74 2005 1
16. C. Gattringer, and C.B. Lang Lecture Notes in Phys. 788 2010 1
17. M.F.L. Golterman Nuclear Phys. B 273 1986 663
18. H. Kluberg-Stern, A. Morel, O. Napoly, and B. Petersson Nuclear Phys. B 220 1983 447
19. S. Dürr PoS LAT. 2005 2006 021 hep-lat/0509026
20. S.R. Sharpe PoS LAT 2006 2006 022 hep-lat/0610094
21. M. Creutz PoS LAT 2007 2007 007 arXiv:0708.1295 [hep-lat]
22. A.S. Kronfeld PoS LAT 2007 2007 016 arXiv:0711.0699 [hep-lat]
23. O. Kaczmarek, F. Karsch, P. Petreczky, and F. Zantow Phys. Lett. B 543 2002 41 hep-lat/0207002
24. Y. Aoki, Z. Fodor, S.D. Katz, and K.K. Szabo Phys. Lett. B 643 2006 46 hep-lat/0609068
25. L. Giusti Nuclear Phys. B538 1999 249 277 hep-lat/9807014
26. S. Borsanyi, Z. Fodor, C. Hoelbling, S.D. Katz, S. Krieg, D. Nogradi, B.C. Toth, K.K. Szabo, et al. PoS LATTICE 2011, 2011, p. 209. arXiv:1111.3500 [hep-lat].
27. S. Borsanyi, S. Dürr, Z. Fodor, C. Hoelbling, S.D. Katz, S. Krieg, D. Nogradi, and B.C. Toth J. High Energy Phys. 1208 2012 126 arXiv:1205.0440 [hep-lat]
28. M. Cheng, N.H. Christ, S. Datta, J. van der Heide, C. Jung, F. Karsch, O. Kaczmarek, and E. Laermann Phys. Rev. D 77 2008 014511 arXiv:0710.0354 [hep-lat]
29. R. Sommer Nuclear Phys. B 411 1994 839 hep-lat/9310022
30. C.T.H. Davies HPQCD Collaboration Phys. Rev. D 81 2010 034506 arXiv:0910.1229 [hep-lat]
31. O. Philipsen L. Lellouch, Modern Perspectives in Lattice QCD 2011 Oxford University Press New York p. 273. arXiv:1009.4089 [hep-lat]
32. J. Engels, F. Karsch, and K. Redlich Nuclear Phys. B 435 1995 295 hep-lat/9408009
33. B. Beinlich, F. Karsch, and E. Laermann Nuclear Phys. B 462 1996 415 hep-lat/9510031
34. J. Engels, F. Karsch, and H. Satz Nuclear Phys. B 205 1982 239
35. P. Hegde, F. Karsch, E. Laermann, and S. Shcheredin Eur. Phys. J. C 55 2008 423 arXiv:0801.4883 [hep-lat]
36. O. Philipsen, and L. Zeidlewicz Phys. Rev. D 81 2010 077501 arXiv:0812.1177 [hep-lat]
37. J. Langelage, G. Münster, and O. Philipsen J. High Energy Phys. 0807 2008 036 arXiv:0805.1163 [hep-lat]
38. G. Münster Nuclear Phys. B 190 1981 439
39. G. Münster Nuclear Phys. B 200 1982 536
40. G. Münster Nuclear Phys. B 205 1982 648 Erratum
41. K. Seo Nuclear Phys. B 209 1982 200
42. P. Hasenfratz, F. Karsch, and I.O. Stamatescu Phys. Lett. B 133 1983 221
43. T.A. DeGrand, and C.E. DeTar Nuclear Phys. B 225 1983 590
44. K. Symanzik Nuclear Phys. B 226 1983 187
45. P. Weisz Nuclear Phys. B 212 1983 1
46. P. Weisz, and R. Wohlert Nuclear Phys. B 236 1984 397
47. P. Weisz, and R. Wohlert Nuclear Phys. B 247 1984 544 Erratum
48. G.P. Lepage, and P.B. Mackenzie Phys. Rev. D 48 1993 2250 hep-lat/9209022
49. Y. Iwasaki Nuclear Phys. B 258 1985 141
50. A. Bazavov, T. Bhattacharya, M. Cheng, N.H. Christ, C. DeTar, S. Ejiri, S. Gottlieb, and R. Gupta Phys. Rev. D 80 2009 014504 arXiv:0903.4379 [hep-lat]
51. B. Sheikholeslami, and R. Wohlert Nuclear Phys. B 259 1985 572
52. M. Lüscher, S. Sint, R. Sommer, and P. Weisz Nuclear Phys. B 478 1996 365 arXiv:hep-lat/9605038
53. K. Jansen ALPHA Collaboration Nuclear Phys. B 530 1998 185
54. K. Jansen ALPHA Collaboration Nuclear Phys. B 643 2002 517 hep-lat/9803017
55. A. Shindler Phys. Rept. 461 2008 37 arXiv:0707.4093 [hep-lat]
56. S. Naik Nuclear Phys. B 316 1989 238
57. U.M. Heller, F. Karsch, and B. Sturm Phys. Rev. D 60 1999 114502 hep-lat/9901010
58. G.P. Lepage Phys. Rev. D 59 1999 074502 hep-lat/9809157
59. J.F. Lagae, and D.K. Sinclair Phys. Rev. D 59 1999 014511 hep-lat/9806014
60. M. Albanese APE Collaboration Phys. Lett. B 192 1987 163
61. T. Blum, C.E. Detar, S.A. Gottlieb, K. Rummukainen, U.M. Heller, J.E. Hetrick, D. Toussaint, and R.L. Sugar Phys. Rev. D 55 1997 1133 hep-lat/9609036
62. K. Orginos MILC Collaboration Phys. Rev. D 59 1999 014501 hep-lat/9805009
63. K. Orginos, R. Sugar, and D. Toussaint Nucl. Phys. Proc. Suppl. 83 2000 878 hep-lat/9909087
64. K. Orginos MILC Collaboration Phys. Rev. D 60 1999 054503 hep-lat/9903032
65. G.P. Lepage Phys. Rev. D 59 1999 074502 hep-lat/9809157
66. E. Follana HPQCD and UKQCD Collaborations Phys. Rev. D 75 2007 054502 hep-lat/0610092
67. A. Bazavov, T. Bhattacharya, M. Cheng, C. DeTar, H.T. Ding, S. Gottlieb, R. Gupta, and P. Hegde Phys. Rev. D 85 2012 054503 arXiv:1111.1710 [hep-lat]
68. C. Morningstar, and M.J. Peardon Phys. Rev. D 69 2004 054501 hep-lat/0311018
69. A. Hasenfratz, and F. Knechtli Phys. Rev. D 64 2001 034504 hep-lat/0103029
70. Y. Aoki, S. Borsanyi, S. Dürr, Z. Fodor, S.D. Katz, S. Krieg, and K.K. Szabo J. High Energy Phys. 0906 2009 088 arXiv:0903.4155 [hep-lat]
71. A. Bazavov, D. Toussaint, C. Bernard, J. Laiho, C. DeTar, L. Levkova, M.B. Oktay, and S. Gottlieb Rev. Modern Phys. 82 2010 1349 arXiv:0903.3598 [hep-lat]
72. S. Borsanyi Wuppertal-Budapest Collaboration J. High Energy Phys. 1009 2010 073 arXiv:1005.3508 [hep-lat]
73. C. Aubin, C. Bernard, C. DeTar, J. Osborn, S. Gottlieb, E.B. Gregory, D. Toussaint, and U.M. Heller Phys. Rev. D 70 2004 094505 hep-lat/0402030
74. P. Huovinen, and P. Petreczky Nuclear Phys. A 837 2010 26 arXiv:0912.2541 [hep-ph]
75. F. Karsch Nuclear Phys. B 205 1982 285
76. A. Hasenfratz, and P. Hasenfratz Nuclear Phys. B 193 1981 210
77. L. Levkova, T. Manke, and R. Mawhinney Phys. Rev. D 73 2006 074504 hep-lat/0603031
78. J. Engels, J. Fingberg, F. Karsch, D. Miller, and M. Weber Phys. Lett. B 252 1990 625
79. T. Umeda, S. Ejiri, S. Aoki, T. Hatsuda, K. Kanaya, Y. Maezawa, and H. Ohno Phys. Rev. D 79 2009 051501 arXiv:0809.2842 [hep-lat]
80. L. Giusti, and H.B. Meyer Phys. Rev. Lett. 106 2011 131601 arXiv:1011.2727 [hep-lat]
81. L. Giusti, and H.B. Meyer J. High Energy Phys. 1111 2011 087 arXiv:1110.3136 [hep-lat]
82. G. Boyd, J. Engels, F. Karsch, E. Laermann, C. Legeland, M. Lütgemeier, and B. Petersson Nuclear Phys. B 469 1996 419 hep-lat/9602007
83. B. Beinlich, F. Karsch, E. Laermann, and A. Peikert Eur. Phys. J. C 6 1999 133 hep-lat/9707023
84. A. Papa Nuclear Phys. B 478 1996 335 hep-lat/9605004
85. J.P. Blaizot, E. Iancu, and A. Rebhan Phys. Rev. D 68 2003 025011 hep-ph/0303045
86. J.O. Andersen, M. Strickland, and N. Su J. High Energy Phys. 1008 2010 113 arXiv:1005.1603 [hep-ph]
87. J.O. Andersen, L.E. Leganger, M. Strickland, and N. Su J. High Energy Phys. 1108 2011 053 arXiv:1103.2528 [hep-ph]
88. S. Necco, and R. Sommer Nuclear Phys. B 622 2002 328 hep-lat/0108008
89. G. Endrödi, Z. Fodor, S.D. Katz, and K.K. Szabo PoS LAT 2007 2007 228 arXiv:0710.4197 [hep-lat]
90. S. Borsanyi, G. Endrödi, Z. Fodor, S.D. Katz, K.K. Szabo, arXiv:1104.0013 [hep-ph].
91. K. Kajantie, M. Laine, K. Rummukainen, and Y. Schröder Phys. Rev. D 67 2003 105008 hep-ph/0211321
92. A. Hart, M. Laine, and O. Philipsen Nuclear Phys. B 586 2000 443 hep-ph/0004060
93. G. 't Hooft Nuclear Phys. B 72 1974 461
94. J. Erdmenger, N. Evans, I. Kirsch, and E. Threlfall Eur. Phys. J. A 35 2008 81 arXiv:0711.4467 [hep-th]
95. S. Datta, and S. Gupta Phys. Rev. D 82 2010 114505 arXiv:1006.0938 [hep-lat]
96. M. Panero Phys. Rev. Lett. 103 2009 232001 arXiv:0907.3719 [hep-lat]
97. M. Panero PoS LAT 2009 2009 172 arXiv:0912.2448 [hep-lat]
98. B. Lucini, M. Teper, and U. Wenger J. High Energy Phys. 0406 2004 012 hep-lat/0404008
99. U. Gürsoy, E. Kiritsis, L. Mazzanti, and F. Nitti Nuclear Phys. B 820 2009 148 arXiv:0903.2859 [hep-th]
100. O. Andreev Phys. Rev. D 76 2007 087702 arXiv:0706.3120 [hep-ph]
101. C. Bernard MILC Collaboration Phys. Rev. D 71 2005 034504 hep-lat/0405029
102. M. Cheng, N.H. Christ, S. Datta, J. van der Heide, C. Jung, F. Karsch, O. Kaczmarek, and E. Laermann Phys. Rev. D 74 2006 054507 hep-lat/0608013
103. F. Karsch, E. Laermann, and A. Peikert Phys. Lett. B 478 2000 447 hep-lat/0002003
104. C. Bernard, T. Burch, C.E. DeTar, S. Gottlieb, L. Levkova, U.M. Heller, J.E. Hetrick, and R. Sugar Phys. Rev. D 75 2007 094505 hep-lat/0611031
105. M. Wingate, C.T.H. Davies, A. Gray, G.P. Lepage, and J. Shigemitsu Phys. Rev. Lett. 92 2004 162001 hep-ph/0311130
106. A. Gray, I. Allison, C.T.H. Davies, E. Dalgic, G.P. Lepage, J. Shigemitsu, and M. Wingate Phys. Rev. D 72 2005 094507 hep-lat/0507013
107. M. Cheng, S. Ejiri, P. Hegde, F. Karsch, O. Kaczmarek, E. Laermann, R.D. Mawhinney, and C. Miao Phys. Rev. D 81 2010 054504 arXiv:0911.2215 [hep-lat]
108. Y. Aoki, Z. Fodor, S.D. Katz, and K.K. Szabo J. High Energy Phys. 0601 2006 089 hep-lat/0510084
109. S. Borsanyi, G. Endrödi, Z. Fodor, A. Jakovac, S.D. Katz, S. Krieg, C. Ratti, and K.K. Szabo J. High Energy Phys. 1011 2010 077 arXiv:1007.2580 [hep-lat]
110. E. Bilgici, A. Flachi, E. Itou, M. Kurachi, C.-J.D. Lin, H. Matsufuru, H. Ohki, and T. Onogi Phys. Rev. D 80 2009 034507 arXiv:0902.3768 [hep-lat]
111. S. Borsanyi, G. Endrödi, Z. Fodor, S.D. Katz, S. Krieg, C. Ratti, C. Schroeder, and K.K. Szabo PoS LATTICE 2011 2011 201 arXiv:1204.0995 [hep-lat]
112. M. Laine, and Y. Schröder Phys. Rev. D 73 2006 085009 hep-ph/0603048
113. C. DeTar, L. Levkova, S. Gottlieb, U.M. Heller, J.E. Hetrick, R. Sugar, and D. Toussaint Phys. Rev. D 81 2010 114504 arXiv:1003.5682 [hep-lat]
114. L. Levkova PoS LATTICE 2011 2011 011 arXiv:1201.1516 [hep-lat]
115. A. Ali Khan CP-PACS Collaboration Phys. Rev. D 64 2001 074510 hep-lat/0103028
116. V.G. Bornyakov, R. Horsley, S.M. Morozov, Y. Nakamura, M.I. Polikarpov, P.E.L. Rakow, G. Schierholz, and T. Suzuki Phys. Rev. D 82 2010 014504 arXiv:0910.2392 [hep-lat]
117. E.-M. Ilgenfritz, K. Jansen, M.P. Lombardo, M. Müller-Preussker, M. Petschlies, O. Philipsen, and L. Zeidlewicz Phys. Rev. D 80 2009 094502 arXiv:0905.3112 [hep-lat]
118. F. Burger, E.-M. Ilgenfritz, M. Kirchner, M.P. Lombardo, M. Müller-Preussker, O. Philipsen, C. Urbach, L. Zeidlewicz, arXiv:1102.4530 [hep-lat].
119. T. Umeda WHOT-QCD Collaboration Phys. Rev. D 85 2012 094508 arXiv:1202.4719 [hep-lat]
120. T. Ishikawa JLQCD Collaboration Phys. Rev. D 78 2008 011502 arXiv:0704.1937 [hep-lat]
121. Y. Maezawa WHOT-QCD Collaboration PoS LAT 2009 2009 165 arXiv:0911.0254 [hep-lat]
122. R. Baron ETM Collaboration J. High Energy Phys. 1008 2010 097 arXiv:0911.5061 [hep-lat]
123. A. Bazavov for the HotQCD Collaboration PoS LATTICE 2010 2010 169 arXiv:1012.1257 [hep-lat]
124. S. Dürr, Z. Fodor, J. Frison, C. Hoelbling, R. Hoffmann, S.D. Katz, S. Krieg, and T. Kurth Science 322 2008 1224 arXiv:0906.3599 [hep-lat]
125. S. Dürr, Z. Fodor, C. Hoelbling, S.D. Katz, S. Krieg, T. Kurth, L. Lellouch, and T. Lippert Phys. Lett. B 701 2011 265 arXiv:1011.2403 [hep-lat]
126. S. Dürr, Z. Fodor, C. Hoelbling, S.D. Katz, S. Krieg, T. Kurth, L. Lellouch, and T. Lippert J. High Energy Phys. 1108 2011 148 arXiv:1011.2711 [hep-lat]
127. Y. Aoki, G. Endrödi, Z. Fodor, S.D. Katz, and K.K. Szabo Nature 443 2006 675 hep-lat/0611014
128. U.J. Wiese Internat. J. Modern Phys. B 17 2003 5435
129. Y. Delgado, H.G. Evertz, and C. Gattringer Acta Phys. Polon. Supp. 4 2011 703 arXiv:1110.6862 [hep-lat]
130. G. Aarts, F.A. James, E. Seiler, and I.-O. Stamatescu Eur. Phys. J. C 71 2011 1756 arXiv:1101.3270 [hep-lat]
131. Z. Fodor, and S. Katz Phys. Lett. B 534 2002 87
132. R.V. Gavai, and S. Gupta Phys. Rev. D 68 2003 034506
133. C.R. Allton Phys. Rev. D 68 2003 014507
134. P. de Forcrand, and O. Philipsen Nuclear Phys. B673 2003 170 Nuclear Phys. B642 2002 290
135. M. D'Elia, and M.P. Lombardo Phys. Rev. D 67 2003 014505
136. M.G. Alford, A. Kapustin, and F. Wilczek Phys. Rev. D 59 1999 054502 hep-lat/9807039
137. P. de Forcrand PoS LAT 2009 2009 010 arXiv:1005.0539 [hep-lat]
138. Z. Fodor, S.D. Katz, arXiv:0908.3341 [hep-ph].
139. S. Gupta PoS LATTICE 2010 2010 007 arXiv:1101.0109 [hep-lat]
140. F. Csikor, G.I. Egri, Z. Fodor, S.D. Katz, K.K. Szabo, and A.I. Toth J. High Energy Phys. 0405 2004 046 hep-lat/0401016
141. S. Ejiri WHOT-QCD Collaboration Phys. Rev. D 82 2010 014508 arXiv:0909.2121 [hep-lat]
142. T. Takaishi, P. de Forcrand, and A. Nakamura PoS LAT 2009 2009 198 arXiv:1002.0890 [hep-lat]
143. C.R. Allton Phys. Rev. D 71 2005 054508 arXiv:hep-lat/0501030
144. R.V. Gavai, and S. Gupta Phys. Rev. D 71 2005 114014 hep-lat/0412035
145. C. Bernard, C.E. DeTar, L. Levkova, S. Gottlieb, U.M. Heller, J.E. Hetrick, R. Sugar, and D. Toussaint Phys. Rev. D 77 2008 014503 arXiv:0710.1330 [hep-lat]
146. M. Bluhm, B. Kampfer, R. Schulze, D. Seipt, and U. Heinz Phys. Rev. C 76 2007 034901 arXiv:0705.0397 [hep-ph]
147. S. Ejiri, F. Karsch, E. Laermann, and C. Schmidt Phys. Rev. D 73 2006 054506 hep-lat/0512040
148. S. Borsanyi, G. Endrödi, Z. Fodor, S.D. Katz, S. Krieg, C. Ratti, and K.K. Szabo J. High Energy Phys. 1208 2012 053 arXiv:1204.6710 [hep-lat]
149. S. Borsanyi, Z. Fodor, S.D. Katz, S. Krieg, C. Ratti, and K. Szabo J. High Energy Phys. 1201 2012 138 arXiv:1112.4416 [hep-lat]
150. S. Borsanyi, Y. Delgado, S. Dürr, Z. Fodor, S.D. Katz, S. Krieg, T. Lippert, and D. Nogradi Phys. Lett. B 713 2012 342 arXiv:1204.4089 [hep-lat]
151. G. Cossu, S. Aoki, S. Hashimoto, T. Kaneko, H. Matsufuru, J.-I. Noaki, and E. Shintani PoS LATTICE 2011 2011 188 arXiv:1204.4519 [hep-lat]