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Two critical end points (CEPs) of the chiral phase transition and the nuclear liquid-gas phase transition show up at finite baryon chemical potential. The kurtosis $\kappa\sigma^2$ of baryon number fluctuation on the $T-\mu_B$ plane is…

High Energy Physics - Phenomenology · Physics 2023-07-25 Kun Xu , Mei Huang

I review recent developments in determining the QCD phase diagram by means of lattice simulations. Since the invention of methods to side-step the sign problem a few years ago, a number of additional variants have been proposed, and…

High Energy Physics - Lattice · Physics 2007-05-23 Owe Philipsen

The canonical partition functions $Z_n$ and the number distributions $P_n$ which are obervable in experiments, are related by a single parameter, the fugacities $\xi=\exp(\mu/T)$. With the charge parity invariance, $Z_n$ and $\xi$ can be…

High Energy Physics - Phenomenology · Physics 2018-01-16 Atsushi Nakamura , Keitaro Nagata

We employ an Einstein-Maxwell-Dilaton (EMD) holographic model, which is known to be in good agreement with lattice results for the QCD equation of state with $(2+1)$ flavors and physical quark masses, to investigate the temperature and…

High Energy Physics - Phenomenology · Physics 2017-08-01 Romulo Rougemont , Renato Critelli , Jacquelyn Noronha-Hostler , Jorge Noronha , Claudia Ratti

The baryon-number density formed in relativistic nuclear collisions, versus the chemical potential of the freeze-out states, is systematically studied on the basis of existing measurements. A remarkable power-law behaviour of the…

High Energy Physics - Phenomenology · Physics 2010-04-06 N. G. Antoniou , F. K. Diakonos , A. S. Kapoyannis

The event-by-event fluctuations in heavy ion collisions carry information about the thermodynamic properties of the hadronic system at the time of freeze-out. By studying these fluctuations as a function of varying control parameters, such…

High Energy Physics - Phenomenology · Physics 2007-05-23 Krishna Rajagopal

One of the most important parts of the QCD phase diagram of strongly interacting matter is the Critical End Point. The non-monotonic behavior of the conserved quantities like net-baryon ($\Delta B$), net-charge ($\Delta Q$), and…

High Energy Physics - Phenomenology · Physics 2025-07-30 A. Sarkar , P. Deb , Bidhan Mandal , R. Varma

Baryon number cumulants are invaluable tools to diagnose the primordial stage of heavy ion collisions if they can be measured. In experiments, however, proton number cumulants have been measured as substitutes. In fact, proton number…

Nuclear Theory · Physics 2015-05-28 Masakiyo Kitazawa , Masayuki Asakawa

We use up to fourth-order charm fluctuations and their correlations with net baryon number, electric charge, and strangeness fluctuations, calculated within the framework of lattice QCD, to study the continuum partial pressure contributions…

High Energy Physics - Lattice · Physics 2025-04-02 Sipaz Sharma , Frithjof Karsch , Peter Petreczky

We discuss the baryon-number susceptibility $\chi_B$ and related topics which include the density fluctuations around the critical point of the chiral transition at finite temperature $T$ and baryon density $\rho_B$. Phenomenological…

High Energy Physics - Phenomenology · Physics 2007-05-23 Teiji Kunihiro

We use an improved version of the SU(3) flavour parity-doublet quark-hadron model to investigate the higher order baryon number susceptibilities near the chiral and the nuclear liquid-gas transitions. The parity-doublet model has been…

Nuclear Theory · Physics 2017-08-30 A. Mukherjee , S. Schramm , J. Steinheimer

We develop methods to deal with non-dynamical contributions to event-by-event fluctuation measurements of net-particle numbers in relativistic nuclear collisions. These contributions arise from impact parameter fluctuations and from the…

Nuclear Theory · Physics 2017-05-09 P. Braun-Munzinger , A. Rustamov , J. Stachel

We calculated the QCD equation of state using Taylor expansions that include contributions from up to sixth order in the baryon, strangeness and electric charge chemical potentials. Calculations have been performed with the Highly Improved…

One of the most interesting questions regarding a possible first order cosmological quark--hadron phase transition concerns the final fate of the baryon number contained within the disconnected quark regions at the end of the transition. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Rezzolla

We point out that the third moments of conserved charges, the baryon and electric charge numbers, and energy, as well as their mixed moments, change their signs around the QCD phase boundary in the temperature and baryon chemical potential…

High Energy Physics - Lattice · Physics 2010-11-05 Masakiyo Kitazawa , Masayuki Asakawa , Shinji Ejiri

The relevance of higher order cumulants of net baryon number fluctuations for the analysis of freeze-out and critical conditions in heavy-ion collisions at LHC and RHIC is addressed. The sign structure of the higher order cumulants in the…

High Energy Physics - Phenomenology · Physics 2012-12-06 Bernd-Jochen Schaefer , Mathias Wagner

We consider the difficulties of finite density QCD from the canonical formalism. We present results for small baryon numbers, where the sign problem can be controlled, in particular by supplementing the mu=0 sampling with imaginary mu…

High Energy Physics - Lattice · Physics 2009-11-10 Slavo Kratochvila , Philippe de Forcrand

We study fluctuations in the canonical ensemble, where the net baryon number is exactly conserved. The focus is on cumulants and factorial cumulants linked to the baryon and antibaryon multiplicities and their sum or difference in full…

Nuclear Theory · Physics 2022-05-17 Bengt Friman , Krzysztof Redlich

We derive a coupled set of equations that describe the non-equilibrium evolution of cumulants of critical fluctuations for space-time trajectories on the cross-over side of the QCD phase diagram. In particular, novel expressions are…

High Energy Physics - Phenomenology · Physics 2015-09-30 Swagato Mukherjee , Raju Venugopalan , Yi Yin
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