Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

SHU Song; LI Jia-Rong

doi:10.1088/1674-1137/36/4/004

Chinese Physics C> 2012, Vol. 36> Issue(4) : 316-321 DOI: 10.1088/1674-1137/36/4/004

Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

SHU Song ,
LI Jia-Rong

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Abstract：
Decon nement phase transition is studied in the FL model at finite temperature and chemical potential. At MFT approximation, phase transition can only be first order in the whole μ-T phase plane. Using a Landau expansion, we further study the phase transition order and the possible phase diagram of decon nement. We discuss the possibilities of second order phase transitions in the FL model. From our analysis, if the cubic term in the Landau expansion could be cancelled by the higher order fluctuations, second order phase transition may occur. By an ansatz of the Landau parameters, we obtain a possible phase diagram with both the first and second order phase transitions, including the tri-critical point which is similar to that of the chiral phase transition.

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[1]

Gyulassy M, McLerran L. Nucl. Phys. A, 2005, 750: 302 Kapusta J I. J. Phys. G, 2007, 34: S295-3043 Svetisky B, Ya e L G. Nucl. Phys. B, 1982, 210: 4234 Pisarski R D, Wilczek F. Phys. Rev. D, 1984, 29: 3385 Shuryak E, Schaefer T. Phys. Rev. Lett., 1995, 75: 17076 Alford M, Rajagopal K, Wilczek F. Phys. Lett. B, 1998,422: 247; Berges J, Rajagopal K. Nucl. Phys. B, 1999 538:2157 McLerran L, Pisarski R D. Nucl. Phys. A, 2007, 796: 83-100; McLerran L, Redlich K, Sasaki C. Nucl. Phys. A, 2009,824: 86-1008 Fukushima K. Phys. Rev. D, 2003, 68: 045004; Nishida Y, Fukushima K, Hatsuda T. Phys. Rept., 2004, 398: 281-3009 Karsch F. Lect. Notes Phys., 2002, 583: 209-24910 Scavenius O, Mocsy A, Mishustin I N, Rischke D H. Phys. Rev. C, 2001, 64: 04520211 Stephanov M, Rajagopal K, Shuryak E. Phys. Rev. Lett.,1998, 81: 4816-481912 Alford M, Rajagopal K, Wilczek F. Phys. Lett. B, 1998,422: 247-25613 Polyakov A M. Phys. Lett. B, 1978, 72: 47714 Svetitsky B. Phys. Rept., 1986, 132: 115 Fukushima K. Phys. Lett. B, 2004, 591: 27716 Roessner S, Ratti C, Weise W. Phys. Rev. D, 2007, 75:03400717 Schaefer B J, Pawlowski J M, Wambach J. Phys. Rev. D,2007, 76: 07402318 Kahara T, Tuominen K. Phys. Rev. D, 2008, 78: 03401519 MAO H, JIN J, Huang M. J. Phys. G, 2010, 37: 03500120 Friedberg R, Lee T D. Phys. Rev. D, 1977, 15: 169421 Gold am R, Wilets L. Phys. Rev. D, 1982, 25: 195122 Birse M C. Prog. Part. Nucl. Phys., 1990, 25: 123 Reinhardt H, DANG B V, Schulz H. Phys. Lett. B, 1985,159: 16124 LI M, Birse M C, Wilets L. J. Phys. G, 1987, 13: 125 WANG E K, Li J R and Liu L S. Phys. Rev. D, 1990, 41:2288; GAO S, WANG E K, LI J R. Phys. Rev. D, 1992,46: 3211; DENG S H, LI J R. Phys. Lett. B, 1993, 302:27926 MAO H, SU R K, ZHAO W Q. Phys. Rev. C, 2006, 74:055204; MAO H, YAO M J, ZHAO W Q. Phys. Rev. C,2008, 77: 06520527 SHU S, LI J R. Phys. Rev. C, 2010, 82: 045203

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SHU Song and LI Jia-Rong. Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model[J]. Chinese Physics C, 2012, 36(4): 316-321. doi: 10.1088/1674-1137/36/4/004

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Received: 2011-08-02
Revised: 2011-07-28

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

Received Date: 2011-08-02

Accepted Date: 2011-07-28

Available Online: 2012-04-05

Abstract: Decon nement phase transition is studied in the FL model at finite temperature and chemical potential. At MFT approximation, phase transition can only be first order in the whole μ-T phase plane. Using a Landau expansion, we further study the phase transition order and the possible phase diagram of decon nement. We discuss the possibilities of second order phase transitions in the FL model. From our analysis, if the cubic term in the Landau expansion could be cancelled by the higher order fluctuations, second order phase transition may occur. By an ansatz of the Landau parameters, we obtain a possible phase diagram with both the first and second order phase transitions, including the tri-critical point which is similar to that of the chiral phase transition.

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Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

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