TY  - JOUR
A1  - Morita, Kenji
A1  - Friman, Bengt
A1  - Redlich, Krzysztof
T1  - Criticality of the net-baryon number probability distribution at finite density
T2  - Physics Letters B
N2  - We compute the probability distribution P(N) of the net-baryon number at finite temperature and quark-chemical potential, μ, at a physical value of the pion mass in the quark-meson model within the functional renormalization group scheme. For μ/T < 1, the model exhibits the chiral crossover transition which belongs to the universality class of the O(4) spin system in three dimensions. We explore the influence of the chiral crossover transition on the properties of the net baryon number probability distribution, P(N). By considering ratios of P(N) to the Skellam function, with the same mean and variance, we unravel the characteristic features of the distribution that are related to O(4) criticality at the chiral crossover transition. We explore the corresponding ratios for data obtained at RHIC by the STAR Collaboration and discuss their implications. We also examine O(4) criticality in the context of binomial and negative-binomial distributions for the net proton number.
KW  - Chiral phase transition
KW  - Conserved charge fluctuations
KW  - Probability distribution
KW  - Heavy ion collisions
Y1  - 2015
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/54705
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-547054
SN  - 1873-2445
SN  - 0370-2693
N1  - This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
VL  - 741.2015
SP  - 178
EP  - 183
PB  - Elsevier
CY  - Amsterdam
ER  -