Finite-size behavior near the critical point of QCD phase-transition

  • It is pointed out that the finite-size effect is not negligible in locating the critical point of quantum colordynamics (QCD) phase transitions at current relativistic heavy ion collisions. The finite-size scaling form of the critical related observable is suggested. Its fixed point behavior at critical incident energy can be served as a reliable identification of a critical point and nearby boundary of QCD phase transition. How to experimentally find the fixed point behavior is demonstrated by using 3D-Ising model as an example. The validity of the method at finite detector acceptances at RHIC is also discussed.
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CHEN Li-Zhu, CHEN Yun-Yun and WU Yuan-Fang. Finite-size behavior near the critical point of QCD phase-transition[J]. Chinese Physics C, 2014, 38(10): 104103. doi: 10.1088/1674-1137/38/10/104103
CHEN Li-Zhu, CHEN Yun-Yun and WU Yuan-Fang. Finite-size behavior near the critical point of QCD phase-transition[J]. Chinese Physics C, 2014, 38(10): 104103.  doi: 10.1088/1674-1137/38/10/104103 shu
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Received: 2013-11-19
Revised: 2014-04-11
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Finite-size behavior near the critical point of QCD phase-transition

    Corresponding author: CHEN Li-Zhu,

Abstract: It is pointed out that the finite-size effect is not negligible in locating the critical point of quantum colordynamics (QCD) phase transitions at current relativistic heavy ion collisions. The finite-size scaling form of the critical related observable is suggested. Its fixed point behavior at critical incident energy can be served as a reliable identification of a critical point and nearby boundary of QCD phase transition. How to experimentally find the fixed point behavior is demonstrated by using 3D-Ising model as an example. The validity of the method at finite detector acceptances at RHIC is also discussed.

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