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

  • 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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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
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 shu
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Received: 2011-08-02
Revised: 2011-07-28
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Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model

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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