Behavior and finite-size effects of the sixth order cumulant in the three-dimensional Ising universality class

@article{Pan2016BehaviorAF,
  title={Behavior and finite-size effects of the sixth order cumulant in the three-dimensional Ising universality class},
  author={Xue Pan and Lizhu Chen and Yuanfang Wu},
  journal={Chinese Physics C},
  year={2016},
  volume={40},
  pages={093104}
}
The high-order cumulants of conserved charges are suggested to be sensitive observables to search for the critical point of Quantum Chromodynamics(QCD). This has been calculated to the sixth order in experiments.Corresponding theoretical studies on the sixth order cumulant are necessary. Based on the universality of the critical behavior, we study the temperature dependence of the sixth order cumulant of the order parameter using the parametric representation of the three-dimensional Ising… 
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References

SHOWING 1-10 OF 38 REFERENCES
Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC
We discuss the relevance of higher order cumulants of net baryon number fluctuations for the analysis of freeze-out and critical conditions in heavy ion collisions at LHC and RHIC. Using properties
Ising universality in three dimensions: a Monte Carlo study
We investigate three Ising models on the simple cubic lattice by means of Monte Carlo methods and finite-size scaling. These models are the spin-1/2 Ising model with nearest-neighbour interactions, a
Quark number fluctuations in the Polyakov loop-extended quark-meson model at finite baryon density
The thermodynamics and phase structure of the Polyakov loop-extended two-flavor chiral quark-meson (PQM) model are explored beyond the mean-field approximation. The analysis of the PQM model is based
Slowing out-of-equilibrium near the QCD critical point
The QCD phase diagram may feature a critical end point at a temperature T and baryon chemical potential {mu} which is accessible in heavy-ion collisions. The universal long wavelength fluctuations
The order of the quantum chromodynamics transition predicted by the standard model of particle physics
TLDR
Finite-size scaling analysis shows that the finite-temperature QCD transition in the hot early Universe was not a real phase transition, but an analytic crossover (involving a rapid change, as opposed to a jump, as the temperature varied).
Meson fluctuations and thermodynamics of the Polyakov-loop-extended quark-meson model
Thermodynamics of the Polyakov-loop-extended two-flavor chiral quark-meson model (PQM) is explored. The analysis of the PQM model is based on the functional renormalization group method. An
...
...