2012/11/20 by Kenji Morita, Morita, Kenji, Vladimir Skokov +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.48550/arxiv.1211.4703
9 pages, 6 figures. to appear in Eur.Phys.J.C. Model is improved to reproduce correct sign of diverging cumulants for O(4) and Z(2) universality class. Property at finite temperature is discussed
openalex publication_date 2012/11/20 · arxiv created 2013/12/13 · arxiv updated 2013/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss properties of the net baryon number probability distribution near the chiral phase transition to explore the effect of critical fluctuations. Our studies are performed within Landau theory, where the coefficients of the polynomial potential are parametrized, so as to reproduce the mean-field (MF), the Z(2) and O(4) scaling behaviors of the cumulants of the net baryon number. We show, that in the critical region, the structure of the probability distribution changes, dependently on values of the critical exponents. In the MF approach, as well as in the Z(2) universality class, the contribution of the singular part of the thermodynamic potential tends to broaden the distribution. By contrast, in the model with O(4) scaling, the contribution of the singular part results in a narrower net baryon number probability distribution with a wide tail.