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Taylor expansion of the equation of state of QCD suffers from shortcomings at chemical potentials $\mu_B \geq (2-2.5)T$. First, one faces difficulties inherent in performing such an expansion with a limited number of coefficients; second,…

High Energy Physics - Lattice · Physics 2021-06-16 S. Borsanyi , Z. Fodor , J. N. Guenther , R. Kara , S. D. Katz , P. Parotto , A. Pasztor , C. Ratti , K. K. Szabo

We use results from a 6-th order Taylor expansion of the QCD equation of state to construct expansions for cumulants of conserved charge fluctuations and their correlations. We show that these cumulants strongly constrain the range of…

High Energy Physics - Lattice · Physics 2017-03-21 Frithjof Karsch

We compare the trace anomaly, strangeness and baryon number fluctuations calculated in lattice QCD with expectations based on hadron resonance gas model. We find that there is a significant discrepancy between the hadron resonance gas and…

High Energy Physics - Phenomenology · Physics 2010-05-12 P. Huovinen , P. Petreczky

We propose a new method to investigate the existence and location of the conjectured high-temperature critical point of strongly interacting matter via contours of constant entropy density. By approximating these lines as a power series in…

High Energy Physics - Phenomenology · Physics 2026-02-18 Hitansh Shah , Mauricio Hippert , Jorge Noronha , Claudia Ratti , Volodymyr Vovchenko

We construct an effective model for the QCD equation of state, taking into account chiral symmetry restoration as well as the deconfinement phase transition. The correct asymptotic degrees of freedom at the high and low temperature limits…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Steinheimer , S. Schramm , H. Stöcker

We match three hadronic equations of state at low energy densities to a perturbatively computed equation of state of quarks and gluons at high energy densities. One of them includes all known hadrons treated as point particles, which…

Nuclear Theory · Physics 2014-09-05 M. Albright , J. Kapusta , C. Young

We examine the isentropic QCD equation of state within a quasi-particle model being adjusted to first principle QCD calculations of two quark flavours. In particular, we compare with Taylor expansion coefficients of energy and entropy…

High Energy Physics - Phenomenology · Physics 2009-11-11 Marcus Bluhm , Burkhard Kampfer , Robert Schulze , Daniel Seipt

We study the order parameter probability distribution at the critical point for the three-dimensional spin-1/2 and spin-1 Ising models on the simple cubic lattice with periodic boundary conditions. The finite size scaling relation for the…

Statistical Mechanics · Physics 2009-11-11 B. Kutlu , M. Civi

25th-order high-temperature series are computed for a general nearest-neighbor three-dimensional Ising model with arbitrary potential on the simple cubic lattice. In particular, we consider three improved potentials characterized by…

Statistical Mechanics · Physics 2009-11-07 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

Peripheral heavy-ion collisions are expected to exhibit magnetic fields with magnitudes comparable to the QCD scale, as well as non-zero baryon densities. Whereas QCD at finite magnetic fields can be simulated directly with standard lattice…

High Energy Physics - Lattice · Physics 2024-01-05 S. Borsányi , B. B. Brandt , G. Endrődi , J. Guenther , R. Kara , A. D. M. Valois

We determine the dependence of important parameters for critical fluctuations on temperature and baryon chemical potential in the QCD phase diagram. The analysis is based on an identification of the fluctuations of the order parameter…

Nuclear Theory · Physics 2017-03-08 Marcus Bluhm , Marlene Nahrgang , Steffen A. Bass , Thomas Schaefer

In this paper, we generalize the improved quasi-particle model proposed in J. Cao et al., [ Phys. Lett. B {\bf711}, 65 (2012)] from finite temperature and zero chemical potential to the case of finite chemical potential and zero…

High Energy Physics - Phenomenology · Physics 2013-11-20 Liu-jun Luo , Jing Cao , Yan Yan , Wei-Min Sun , Hong-Shi Zong

We propose a new analytical form of the quark-gluon plasma equation of state (EoS). This new EoS satisfies all qualitative features observed in the lattice QCD calculations and gives a good quantitative description of the lattice results in…

High Energy Physics - Phenomenology · Physics 2011-06-15 Viktor V. Begun , Mark I. Gorenstein , Oleg A. Mogilevsky

The QCD equation of state at zero baryon chemical potential is the only element of the standard dynamical framework to describe heavy ion collisions that can be directly determined from first principles. Continuum extrapolated lattice QCD…

Heavy-ion collisions are well described by a dynamical evolution with a long hydrodynamical phase. In this phase the properties of the strongly coupled quark-gluon plasma are reflected in the equation of state (EoS) and the transport…

Nuclear Theory · Physics 2018-12-06 A. Dubla , S. Masciocchi , J. M. Pawlowski , B. Schenke , C. Shen , J. Stachel

We confront our quasi-particle model for the equation of state of strongly interacting matter with recent first-principle QCD calculations. In particular, we test its applicability at finite baryon densities by comparing with Taylor…

High Energy Physics - Phenomenology · Physics 2011-09-13 Marcus Bluhm , Burkhard Kampfer , Robert Schulze , Daniel Seipt

The Equation of States (EoS) plays the crucial role in all studies of neutron star properties. Still, a microscopical understanding of EoS remains largely an unresolved problem. We use 2-color QCD as a model to study the dependence of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ariel Zhitnitsky

We conclude our investigation on the QCD equation of state (EoS) with 2+1 staggered flavors and one-link stout improvement. We extend our previous study [JHEP 0601:089 (2006)] by choosing even finer lattices. These new results [for details…

High Energy Physics - Lattice · Physics 2010-11-19 Szabolcs Borsanyi , Gergely Endrodi , Zoltan Fodor , Antal Jakovac , Sandor D. Katz , Stefan Krieg , Claudia Ratti , Kalman K. Szabo

In this paper, we give a direct method for calculating the partition function, and hence the equation of state (EOS) of Quantum Chromodynamics (QCD) at finite chemical potential and zero temperature. In the EOS derived in this paper the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hong-shi Zong , Wei-min Sun

Results for the equation of state in 2+1 flavor QCD at zero net baryon density using the Highly Improved Staggered Quark (HISQ) action by the HotQCD collaboration are presented. The strange quark mass was tuned to its physical value and the…

High Energy Physics - Lattice · Physics 2019-08-13 Tanmoy Bhattacharya