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The experimental search for the QCD critical point by means of relativistic heavy-ion collisions necessitates the development of dynamical models of fluctuations. In this work we study the fluctuations of the net-baryon density near the…

Nuclear Theory · Physics 2020-11-25 Marlene Nahrgang , Marcus Bluhm

We formulate the non-linear field theory for a fluctuating counter-ion distribution in the presence of a fixed, arbitrary charge distribution. The Poisson-Boltzmann equation is obtained as the saddle-point, and the effects of fluctuations…

Soft Condensed Matter · Physics 2015-06-25 Roland R. Netz , Henri Orland

The description of dynamical fluctuations near the QCD critical point in heavy-ion collisions is crucial for understanding the existing and upcoming experimental data from the beam energy scan programs. In this talk we discuss the evolution…

Nuclear Theory · Physics 2018-04-10 Marlene Nahrgang , Marcus Bluhm , Thomas Schaefer , Steffen A. Bass

We evaluate the $2$nd to $4$th order baryon, charge and strangeness susceptibilities near a chiral critical point using the Nambu--Jona--Lasinio model under different temperature and baryon chemical potential. Baryon number susceptibilities…

High Energy Physics - Phenomenology · Physics 2016-12-21 Wenkai Fan , Xiaofeng Luo , Hong-Shi Zong

We calculate electric and baryonic charge fluctuations on the lattice. Results have been obtained with the highly improved staggered quark action (HISQ) and almost physical quark masses on lattices with spacial extent of $N_\tau=6,8,12$.…

High Energy Physics - Lattice · Physics 2015-06-12 Christian Schmidt

The QCD critical point can be found in heavy ion collision experiments via the non-monotonic behavior of many fluctuation observables as a function of the collision energy. The event-by-event fluctuations of various particle multiplicities…

High Energy Physics - Phenomenology · Physics 2011-03-23 Christiana Athanasiou , Krishna Rajagopal , Misha Stephanov

We extract the bulk viscosity of hot quark-gluon matter in the presence of light quarks from the recent lattice data on the QCD equation of state. For that purpose we extend the sum rule analysis by including the contribution of light…

High Energy Physics - Phenomenology · Physics 2010-04-06 F. Karsch , D. Kharzeev , K. Tuchin

We study the effect of the QCD critical point on non-Gaussian moments (cumulants) of fluctuations of experimental observables in heavy-ion collisions. We find that these moments are very sensitive to the proximity of the critical point, as…

High Energy Physics - Phenomenology · Physics 2010-04-21 M. A. Stephanov

Fluctuations and correlations of the net-baryon number play an important role in exploring critical phenomena in phase transitions of strongly interacting matter governed by Quantum chromodynamics (QCD). In this work, we use the parity…

High Energy Physics - Phenomenology · Physics 2024-01-31 Volker Koch , Michał Marczenko , Krzysztof Redlich , Chihiro Sasaki

We compute the probability distribution $P(N)$ of the net-baryon number at finite temperature and quark-chemical potential, $\mu$, at a physical value of the pion mass in the quark-meson model within the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2018-05-09 Kenji Morita , Bengt Friman , Krzysztof Redlich

We report measurements of diagonal susceptibilities for the baryon number, chi_B, electrical charge, chi_Q, third component of isospin, chi_I, strangeness, chi_S, and hypercharge, chi_Y, as well as the off-diagonal chi_BQ, chi_BY, chi_BS,…

High Energy Physics - Lattice · Physics 2016-09-01 R. V. Gavai , Sourendu Gupta

In this paper we study fluctuations of extreme particles of nonintersecting Brownian bridges starting from $a_1\leq a_2\leq \cdots \leq a_n$ at time $t=0$ and ending at $b_1\leq b_2\leq \cdots\leq b_n$ at time $t=1$, where…

Probability · Mathematics 2020-11-04 Jiaoyang Huang

We analyze universal and nonuniversal finite-size effects of lattice systems in a $L^d$ geometry above the upper critical dimension d = 4 within the O(n) symmetric $\phi^4$ lattice theory. On the basis of exact results for $n \to\infty$ and…

Statistical Mechanics · Physics 2021-05-26 X. S. Chen , V. Dohm

Binder liked ratios of baryon number are firstly suggested in relativistic heavy ion collisions. Using 3D-Ising model, the critical behavior of Binder ratios and ratios of high order cumulants of order parameter are fully presented. Binder…

Nuclear Theory · Physics 2010-10-20 Lizhu Chen , Xue Pan , Xiaosong Chen , Yuanfang Wu

The QCD critical point can be found in heavy ion collision experiments via the non-monotonic behavior of many fluctuation observables as a function of the collision energy. The event-by-event fluctuations of various particle multiplicities…

High Energy Physics - Phenomenology · Physics 2014-11-21 Christiana Athanasiou , Krishna Rajagopal , Misha Stephanov

Finite volume corrections to higher moments are important observable quantities. They make possible to differentiate between different statistical ensembles even in the thermodynamic limit. It is shown that this property is a universal one.…

High Energy Physics - Theory · Physics 2010-11-11 Ludwik Turko

The cumulants of baryon number fluctuations serve as a good probe for experimentally exploring the QCD phase diagram at finite density, giving rise to characteristic fluctuation patterns associated with a possible critical endpoint (CEP).…

High Energy Physics - Phenomenology · Physics 2023-08-17 Zhibin Li , Jingmin Liang , Song He , Li Li

Event-by-event fluctuations and correlations between particles produced in relativistic nuclear collisions are studied. The fluctuations in positive, negative, total and net charge are closely related through correlations. In the event of a…

Nuclear Theory · Physics 2008-11-26 H. Heiselberg , A. D. Jackson

We describe a 4D U(1) lattice gauge theory with charged scalar $\phi$ and fermion $\chi$ matter fields ($\chi U \phi$ model). At sufficiently strong gauge coupling, the chiral symmetry is broken and the mass of the unconfined composite…

High Energy Physics - Lattice · Physics 2009-10-31 W. Franzki , J. Jersak

We study the universal nature of global fluctuations in the critical regime of the spherical model by evaluating the exact distribution of the magnetization and its absolute value in the thermodynamical limit, in the presence of a conjugate…

Statistical Mechanics · Physics 2015-06-11 Jean-Yves Fortin , Sophie Mantelli