Critical point of QCD at finite T and μ, lattice results for physical quark masses

Journal of High Energy Physics

Volumn 8, Issue 4, 2004, Pages 1157-1166

  Fodor, Zoltan ^a,b   Katz, Sandor D ^a,b  

^a UNIVERSITY OF WUPPERTAL   (Germany)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Lattice Gauge Field Theories; Lattice QCD; QCD

Indexed keywords

EID: 23044477518     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (40)

1. F. Wilczek, QCD in extreme conditions, hep-ph/0003183.
2. K. Rajagopal and F. Wilczek, The condensed matter physics of QCD, hep-ph/0011333.
3. M.A. Halasz, A.D. Jackson, R.E. Shrock, M.A. Stephanov and J.J.M. Verbaarschot, On the phase diagram of QCD, Phys. Rev. D 58 (1998) 096007 [hep-ph/9804290].
4. J. Berges and K. Rajagopal, Color superconductivity and chiral symmetry restoration at nonzero baryon density and temperature, Nucl. Phys. B 538 (1999) 215 [hep-ph/9804233].
5. M.A. Stephanov, K. Rajagopal and E.V. Shuryak, Signatures of the tricritical point in QCD, Phys. Rev. Lett. 81 (1998) 4816 [hep-ph/9806219];
6. Event-by-event fluctuations in heavy ion collisions and the QCD critical point, Phys. Rev. D 60 (1999) 114028 [hep-ph/9903292];
7. E.L. Bratkovskaya et al., Strangeness dynamics and transverse pressure in relativistic nucleus nucleus collisions, nucl-th/0402026.
8. P. Hasenfratz and F. Karsch, Chemical potential on the lattice, Phys. Lett. B 125 (1983) 308;
9. J.B. Kogut et al., Chiral symmetry restoration in baryon rich environments, Nucl. Phys. B 225 (1983) 93.
10. Z. Fodor and S.D. Katz, A new method to study lattice QCD at finite temperature and chemical potential, Phys. Lett. B 534 (2002) 87 [hep-lat/0104001].
11. Z. Fodor and S.D. Katz, Lattice determination of the critical point of QCD at finite t and mu, J. High Energy Phys. 03 (2002) 014 [hep-lat/0106002].
12. A.M. Ferrenberg and R.H. Swendsen, New Monte Carlo technique for studying phase transitions, Phys. Rev. Lett. 61 (1988) 2635;
13. Optimized Monte Carlo analysis, Phys. Rev. Lett. 63 (1989) 1195.
14. I.M. Barbour, S.E. Morrison, E.G. Klepfish, J.B. Kogut and M.-P. Lombardo, Results on finite density QCD, Nucl. Phys. 60A (Proc. Suppl.) (1998) 220 [hep-lat/9705042].
15. Z. Fodor, S.D. Katz and K.K. Szabo, The QCD equation of state at nonzero densities: lattice result, Phys. Lett. B 568 (2003) 73 [hep-lat/0208078].
16. F. Csikor et al., Equation of state at finite temperature and chemical potential, lattice QCD results, hep-lat/0401016.
17. C.R. Allton et al., The QCD thermal phase transition in the presence of a small chemical potential, Phys. Rev. D 66 (2002) 074507 [hep-lat/0204010].
18. C.R. Allton et al., The equation of state for two flavor QCD at non-zero chemical potential, Phys. Rev. D 68 (2003) 014507 [hep-lat/0305007].
19. F. Karsch et al., Where is the chiral critical point in 3-flavor QCD?, hep-lat/0309116.
20. S. Ejiri et al., Study of QCD thermodynamics at finite density by Taylor expansion, hep-lat/0312006.
21. S. Ejiri, Remarks on the multi-parameter reweighting method for the study of lattice QCD at non-zero temperature and density, hep-lat/0401012.
22. P. de Forcrand and O. Philipsen, The QCD phase diagram for small densities from imaginary chemical potential, Nucl. Phys. B 642 (2002) 290 [hep-lat/0205016].
23. M. D'Elia and M.-P. Lombardo, Finite density QCD via imaginary chemical potential, Phys. Rev. D 67 (2003) 014505 [hep-lat/0209146].
24. P. de Forcrand and O. Philipsen, The QCD phase diagram for three degenerate flavors and small baryon density, Nucl. Phys. B 673 (2003) 170 [hep-lat/0307020].
25. D.K. Hong and S.D.H. Hsu, Positivity and dense matter, Phys. Rev. D 68 (2003) 034011 [hep-ph/0304156].
26. K.-F. Liu, A finite baryon density algorithm, hep-lat/0312027.
27. J. Ambjørn, K.N. Anagnostopoulos, J. Nishimura and J.J.M. Verbaarschot, The factorization method for systems with a complex action: a test in random matrix theory for finite density QCD, J. High Energy Phys. 10 (2002) 062 [hep-lat/0208025].
28. J.B. Kogut, QCD in extreme environments, Nucl. Phys. 119 (Proc. Suppl.) (2003) 210 [hep-lat/0208077];
29. Z. Fodor, Lattice QCD results at finite temperature and density, Nucl. Phys. A 715 (2003) 319 [hep-lat/0209101];
30. S.D. Katz, Lattice QCD at finite t and mu, hep-lat/0310051;
31. E. Laermann and O. Philipsen, Status of lattice QCD at finite temperature, hep-ph/0303042;
32. S. Muroya, A. Nakamura, C. Nonaka and T. Takaishi, Lattice QCD at finite density: an introductory review, Prog. Theor. Phys. 110 (2003) 615 [hep-lat/0306031].
33. R. Sommer, A new way to set the energy scale in lattice gauge theories and its applications to the static force and alpha-s in SU(2) Yang-Mills theory, Nucl. Phys. B 411 (1994) 839 [hep-lat/9310022].
34. I. Montvay and G. Munster, Quantum fields on a lattice, Cambridge University Press, Cambridge 1994.
35. C.N. Yang and T.D. Lee, Statistical theory of equations of state and phase transitions, 1. Theory of condensation, Phys. Rev. 87 (1952) 404;
36. Statistical theory of equations of state and phase transitions, 2. Lattice gas and ising model, Phys. Rev. 87 (1952) 410.
37. Y. Aoki, F. Csikor, Z. Fodor and A. Ukawa, The endpoint of the first-order phase transition of the SU(2) gauge-higgs model on a 4-dimensional isotropic lattice, Phys. Rev. D 60 (1999) 013001 [hep-lat/9901021].
38. Z. Fodor, S.D. Katz and G. Papp, Better than 1/Mflops sustained: a scalable PC-based parallel computer for lattice QCD, Comput. Phys. Commun. 152 (2003) 121 [hep-lat/0202030].
39. MILC collaboration's public lattice gauge theory code. See http://physics.indiana.edu/~sg/milc.html.
40. F. Karsch, E. Laermann and A. Peikert, The pressure in 2, 2+1 and 3 flavour QCD, Phys. Lett. B 478 (2000) 447 [hep-lat/0002003].