Speaker
Dr
Kenji Morita
(Kyoto University)
Description
We discuss the influence of the chiral phase transition on the properties
of the probability distribution of conserved charges based on effective chiral
models and on the Landau theory of phase transition [1].
Statistical fluctuations of the net baryon number have been regarded as a
diagnostic tool of the chiral phase transition in QCD and in heavy ion collisions.
Normally, they are discussed by calculating cumulants of the net baryon
number in the grand canonical ensemble. Lattice QCD and effective model calculations
have revealed their critical behaviors in the vicinity of the chiral phase
transition.
The purpose of this work is to characterize the critical behavior in terms
of the baryon number probability distribution which is a measurable observable
in heavy ion collisions.
We show the influence of the chiral crossover transition on the net baryon
number probability distribution within the Polyakov loop extended quark-meson model,
in a non-perturbative approach, based on the functional renormalization group method [1].
We construct an analytically solvable model which respects relevant
symmetries, based on the Landau theory, and discuss properties of the
baryon number probability distribution in the presence of the phase transition.
We emphasize the relationship of the probability distribution to the analytic
structure of the grand canonical partition function in a complex chemical
potential [2-4].
We show, through both numerical and analytic considerations,
that the singular structure, which gives the divergent cumulants,
leads to an interesting anomalous oscillatory behavior in the probability
distribution.
Our theoretical studies are relevant in heavy ion phenomenology to
possibly identify the QCD phase transition and its order
by measuring probability distributions of conserved charges.
[1] K. Morita, V. Skokov, B. Friman and K. Redlich, to appear.
[2] V. Skokov, K. Morita, B. Friman, Phys. Rev. D83, (2011) 071502(R).
[3] K. Morita, V. Skokov, B. Friman and K. Redlich,
``Probing deconfinement in the Polyakov-loop extended
Nambu-Jona-Lasinio model at imaginary chemical potential,''
arXiv:1111.3446 [hep-ph].
[4] K. Morita, V. Skokov, B. Friman and K. Redlich, Phys. Rev. D84 (2011) 074020.
[5] K. Morita, V. Skokov, B. Friman and K. Redlich, Phys. Rev. D84 (2011) 076009.
Author
Dr
Kenji Morita
(Kyoto University)
Co-authors
Prof.
Bengt Friman
(GSI)
Prof.
Krzysztof Redlich
(University of Wroclaw)
Dr
Vladimir Skokov
(Brookhaven national laboratory)
