2017/10/31 by C. Herold, Christoph Herold, Marcus Bleicher +7 · 16 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Cumulant #Field (mathematics) #Heavy ion #High-Energy Particle Collisions Research #Ion #Kurtosis #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Sigma #Sigma model #Skewness #Statistical physics #Statistics #hep-ph
paper · pdf · doi:10.1140/epja/i2018-12438-1
published in The European Physical Journal A 54(2) (Springer Science+Business Media) · 7 pages, 3 figures, accepted for publication in EPJ A
arxiv created 2018/01/10 · openalex publication_date 2018/02/01 · openalex created_date 2018/02/23 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
We investigate higher cumulants of the sigma field as the chiral order parameter at the QCD phase transition. We derive a thermodynamic expression for the skewness and kurtosis from susceptibilities and use these to determine Sσ and κσ2 for the sigma field in equilibrium. In a next step, we study the behavior of these cumulants in both an equilibrated static medium and an expanding medium resembling the hydrodynamic stage of a heavy-ion collision. For the latter one, we find a significant broadening of the critical region.