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We suggest a physical definition of the confinement mass scale in QCD in the framework of non-perturbative, gauge invariant QCD, where all possible gluons exchanged between any pair of quark lines are included; and we insist that a stable,…

High Energy Physics - Phenomenology · Physics 2015-11-19 H. M. Fried , P. H. Tsang

We discuss two models for describing the behavior of matter at large densities and intermediate temperatures. In both models a softening of the equation of state takes place due to the appearance of new degrees of freedom. The first is a…

High Energy Physics - Phenomenology · Physics 2009-04-21 Luca Bonanno , Alessandro Drago , Andrea Lavagno

Recent lattice results on QCD at finite temperatures and densities are reviewed. Two new and independent techniques give compatible results for physical quantities. The phase line separating the hadronic and quark-gluon plasma phases, the…

High Energy Physics - Lattice · Physics 2009-11-07 Z. Fodor

In this paper the compatibility is analyzed of the non-perturbative equations of state of quarks and gluons arising from the lattice with some natural requirements for self-gravitating objects at equilibrium: the existence of an equation of…

High Energy Physics - Theory · Physics 2016-08-16 Fabrizio Canfora , Alex Giacomini , Pablo Pais , Luigi Rosa , Alfonso Zerwekh

The equation of state of the quark gluon plasma is a key ingredient of heavy ion phenomenology. In addition to the traditional Taylor method, several novel approximation schemes have been proposed with the aim of calculating it at finite…

High Energy Physics - Lattice · Physics 2023-05-24 Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Jana N. Guenther , Sandor D. Katz , Attila Pasztor , Chik Him Wong

We perform an exact computation of the grand partition function of a model of confined quarks at arbitrary temperatures and quark chemical potentials. The model is inspired by a version of QCD where the perturbative BRST symmetry is broken…

High Energy Physics - Phenomenology · Physics 2015-09-16 Bruno W. Mintz

The thermodynamics and critical exponents and amplitudes of high temperature and dense matter near the chiral critical point are studied. The parameterized equation of state matches on to that calculated with lattice QCD at zero chemical…

Nuclear Theory · Physics 2010-05-28 J. I. Kapusta

We prove that a temperature independent mass distribution is identically zero below a mass threshold (mass gap) value, if the pressure satisfies certain inequalities. This supports the finding of a minimal mass in quark matter equation of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tamas S. Biro , Andras Laszlo , Peter Van

Quarkonium properties at finite temperature have been studied with quark masses of the charm and bottom quarks. Our simulations have been performed in quenched QCD with the $O(a)$-improved Wilson quarks on large and fine isotropic lattices…

High Energy Physics - Lattice · Physics 2015-04-30 H. Ohno , H. -T. Ding , O. Kaczmarek

Current knowledge of the finite-density QCD equation of state from first principles is limited to a Taylor expansion in the baryonic chemical potential around $\mu_B=0$. By means of a scaling form for the equation of state of the 3D Ising…

High Energy Physics - Phenomenology · Physics 2019-02-20 Paolo Parotto

We calculate the equation of state at non-zero temperature and density from first principles in two-, three- and four-color QCD with two fermion flavors in the fundamental and two-index, antisymmetric representation. By matching low-energy…

High Energy Physics - Phenomenology · Physics 2015-07-22 Tyler Gorda , Paul Romatschke

We present results on the QCD equation of state, obtained with two different improved dynamical staggered fermion actions and almost physical quark masses. Lattice cut-off effect are discussed in detail as results for three different…

High Energy Physics - Lattice · Physics 2008-10-06 Christian Schmid , for RBC-Bielefeld , HotQCD Collaborations

The ambiguities and inconsistencies in previous thermodynamic treatments for the quark mass density-dependent model are addressed. A new treatment is suggested to obtain the self-consistent results. A new independent variable of effective…

Nuclear Theory · Physics 2008-11-26 Shaoyu Yin , Ru-Keng Su

Matter described by Quantum Chromodynamics (QCD), the theory of strong interactions, may undergo phase transitions when its temperature and the chemical potentials are varied. QCD at finite temperature is studied in the laboratory by…

High Energy Physics - Phenomenology · Physics 2011-06-24 Sourendu Gupta , Xiaofeng Luo , Bedangadas Mohanty , Hans Georg Ritter , Nu Xu

The density of states method is applied for lattice QCD at a finite isospin density. The advantage of this method is that one can easily obtain results for various values of parameters (quark mass, coupling constant and the number of…

High Energy Physics - Lattice · Physics 2009-11-10 Tetsuya Takaishi

One of the fundamental properties of the quark-gluon plasma (QGP), the equation of state, is a subject of extensive studies in lattice QCD and an essential requirement for the correct hydrodynamic modeling of heavy-ion collisions. Lattice…

High Energy Physics - Lattice · Physics 2015-06-11 Alexei Bazavov

Quasi-particle model of quark gluon plasma is the statistical mechanics of particles with medium dependent mass, related to plasma frequency, which was proposed to describe the thermodynamics of the medium itself. At relativistic limit the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vishnu M. Bannur

We present a detailed account of the theoretical progress and the computational strategy that led to the non-perturbative determination of the QCD Equation of State at temperatures up to the electroweak scale reported in [Phys. Rev. Lett.…

High Energy Physics - Lattice · Physics 2026-02-20 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

The grand partition function of a model of confined quarks is exactly calculated at arbitrary temperatures and quark chemical potentials. The model is inspired by a softly BRST-broken version of QCD and possesses a quark mass function…

High Energy Physics - Phenomenology · Physics 2015-10-28 M. S. Guimaraes , B. W. Mintz , L. F. Palhares

We present results of a simulation of 2 flavour QCD on a $16^3\times4$ lattice using p4-improved staggered fermions with bare quark mass $m/T=0.4$. Derivatives of the thermodynamic grand canonical partition function $Z(V,T,\mu_u,\mu_d)$…

High Energy Physics - Phenomenology · Physics 2016-08-16 S. Ejiri , C. R. Allton , M. Döring , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich