Abstract
A strongly coupled quark-gluon plasma (QGP) of heavy constituent quasiparticles is studied by a path-integral Monte-Carlo method. This approach is a quantum generalization of the model developed by B.A. Gelman, E.V. Shuryak, and I. Zahed. It is shown that this method is able to reproduce the QCD lattice equation of state and also yields valuable insight into the internal structure of the QGP. The results indicate that the QGP reveals liquid-like rather than gas-like properties. At temperatures just above the critical one it was found that bound quark-antiquark states still survive. These states are bound by effective string-like forces and turn out to be colorless. At the temperature as large as twice the critical one no bound states are observed. Quantum effects turned out to be of prime importance in these simulations.
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References
A. B. Migdal, Zh. Eksp. Teor. Fiz. 61, 2210 (1971) [Sov. Phys. JETP 34, 1184 (1972)]; Phys. Lett. B 52, 172 (1974).
D. Blaschke, H. Grigorian, and D. N. Voskresensky, Astron. Astrophys. 424, 979 (2004).
E. Shuryak, Prog. Part. Nucl. Phys. 62, 48 (2009).
A. Bazavov et al., Phys. Rev. D 80, 014504 (2009).
Z. Fodor and S. D. Katz, arXiv:0908.3341 [hep-ph].
F. Csikor, G. I. Egri, Z. Fodor, et al., J. High Energy Phys. 0405, 046 (2004).
D. F. Litim and C. Manuel, Phys. Rev. Lett. 82, 4981 (1999); Nucl. Phys. B 562, 237 (1999); Phys. Rev. D 61, 125004 (2000); Phys. Rep. 364, 451 (2002).
M. Hofmann, M. Bleicher, S. Scherer, et al., Phys. Lett. B 478, 161 (2000).
B.A. Gelman, E. V. Shuryak, and I. Zahed, Phys.Rev. C 74, 044908, 044909 (2006).
S. Cho and I. Zahed, Phys. Rev. C 79, 044911 (2009); Phys. Rev. C 80, 014906 (2009); Phys. Rev. C 82, 044905, 054907 (2010); arXiv:0910.1548 [nucl-th]; K. Dusling and I. Zahed, Nucl. Phys. A 833, 172 (2010).
M. H. Thoma, IEEE Trans. Plasma Sci. 32, 738 (2004).
A. Filinov, M. Bonitz, and W. Ebeling, J. Phys. A 36, 5957 (2003).
G. Kelbg, Ann. Phys. (Leipzig) 12, 219 (1962); Ann. Phys. (Leipzig) 13, 354 (1963).
K. Dusling and C. Young, arXiv:0707.2068 [nucl-th].
A. Filinov, V. Golubnychiy, M. Bonitz, et al., Phys. Rev. E 70, 046411 (2004).
M. Bonitz, D. Semkat, A. Filinov, et al., J. Phys.A 36, 5921 (2003); M. Bonitz, P. Ludwig, H. Baumgartner, et al., Phys. Plasma 15, 055704 (2008).
V. S. Filinov, M. Bonitz, W. Ebeling, and V. E. Fortov, Plasma Phys. Control. Fusion 43, 743 (2001).
V. S. Filinov, M. Bonitz, and V. E. Fortov, JETP Lett. 72, 245 (2000).
M. Bonitz, V. S. Filinov, V. E. Fortov., et al., Phys. Rev. Lett. 95, 235006 (2005).
V. S. Filinov, M. Bonitz, P. R. Levashov, et al., J. Phys. A 36, 6069 (2003).
M. Bonitz, V. S. Filinov, V. E. Fortov, et al., J. Phys. A 39, 4717 (2006).
V. S. Filinov, H. Fehske, M. Bonitz, et al., Phys. Rev. E 75, 036401 (2007).
V. S. Filinov, M. Bonitz, Yu. B. Ivanov, et al., Contrib. Plasma Phys. 49, 536 (2009).
V. S. Filinov, M. Bonitz, Yu. B. Ivanov, et al., Contrib. Plasma Phys. 51, 322 (211).
P. Petreczky, F. Karsch, E. Laermann, et al., Nucl. Phys. B Proc. Suppl. 106, 513 (2002).
J. Liao and E. V. Shuryak, Phys. Rev. D 73, 014509 (2006).
S. K. Wong, Nuovo Cimento A 65, 689 (1970).
J. L. Richardson, Phys. Lett. B 82, 272 (1979).
R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
V. M. Zamalin, G. E. Norman, and V. S. Filinov, TheMonte CarloMethod in Statistical Thermodynamics (Nauka, Moscow, 1977) [in Russian].
A. Peshier, B. Kampfer, and O. P. Pavlenko, Phys. Rev. D 54, 2399 (1996).
Yu. B. Ivanov, V. V. Skokov, and V. D. Toneev, Phys. Rev. D 71, 014005 (2005).
F. Karsch and M. Kitazawa, Phys. Rev. D 80, 056001 (2009).
G. M. Prosperi, M. Raciti, and C. Simolo, Prog. Part. Nucl. Phys. 58, 387 (2007).
A. V. Filinov, V. S. Filinov, Yu. E. Lozovik, and M. Bonitz, Introduction to Computational Methods for Many-Body Physics, Ed. by M. Bonitz and D. Semkat (Rinton Press, Princeton, 2006).
V. I. Yukalov and E. P. Yukalova, Physica A 243, 382 (1997); Fiz. Elem. Chastits At. Yadra 28, 89 (1997) [Phys. Part. Nucl. 28, 37 (1997)].
E. V. Shuryak and I. Zahed, Phys. Rev. C 70, 021901 (2004); Phys. Rev. D 70, 054507 (2004).
G. E. Brown, B. A. Gelman, and M. Rho, nuclth/ 0505037.
M. Asakawa, T. Hatsuda, and Y. Nakahara, Prog. Part. Nucl. Phys. 46, 459 (2001); Nucl. Phys. A 715, 863 (2003); M. Asakawa and T. Hatsuda, Phys. Rev. Lett. 92, 012001 (2004).
S. Datta, F. Karsch, P. Petreczky, and I. Wetzorke, Phys. Rev. D 69, 094507 (2004).
V. Koch, A. Majumder, and J. Randrup, Phys. Rev. Lett. 95, 182301 (2005).
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Filinov, V.S., Ivanov, Y.B., Bonitz, M. et al. Quantum simulations of strongly coupled quark-gluon plasma. Phys. Atom. Nuclei 74, 1364–1374 (2011). https://doi.org/10.1134/S1063778811090043
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DOI: https://doi.org/10.1134/S1063778811090043