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We present the non-perturbative computation of the entropy density in QCD for temperatures ranging from 3 GeV up to the electro-weak scale, using $N_f=3$ flavours of massless O$(a)$-improved Wilson fermions. We adopt a new strategy designed…

High Energy Physics - Lattice · Physics 2025-02-07 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

The nonlinear boson diffusion equation is taken as a basis to account for the fast thermalization of gluons in the initial stages of relativistic heavy-ion collisions. For constant drift and diffusion coefficients with schematic initial…

High Energy Physics - Phenomenology · Physics 2025-11-25 J. Rössler , G. Wolschin

We report on our recent study of equilibrium thermodynamic observables in SU(N) gauge theories with N=3, 4, 5, 6 and 8 colors at temperatures T in the range from 0.8 T_c to 3.4 T_c (where T_c denotes the critical deconfinement temperature).…

High Energy Physics - Lattice · Physics 2010-11-05 Marco Panero

We study the thermal dilepton and photon production from relativistic heavy ion collisions in presence of viscosities by employing the recently developed second order dissipative hydrodynamic formulation estimated within a quasiparticle…

Nuclear Theory · Physics 2022-12-16 Lakshmi J. Naik , V. Sreekanth

We present preliminary results towards a fully non-perturbative determination of the equation of state of QCD at very high-temperatures, $T\approx 3-80\,{\rm GeV}$. The key ingredient is the lattice formulation of QCD in a moving reference…

High Energy Physics - Lattice · Physics 2019-04-02 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

In the framework of the instanton liquid model (ILM), we consider thermal modifications of the gluon properties in different scenarios of temperature $T$ dependence of the average instanton size $\bar{\rho}(T)$ and the instanton density…

High Energy Physics - Phenomenology · Physics 2019-04-17 M. Musakhanov , Sh. Baratov , N. Rakhimov

The shear ($\eta$) and bulk ($\zeta$) viscosities are calculated in a quasiparticle relaxation time approximation. The hadron phase is described within the relativistic mean field based model with scaled hadron masses and couplings. The…

Nuclear Theory · Physics 2010-10-19 A. S. Khvorostukhin , V. D. Toneev , D. N. Voskresensky

A recently introduced particle-based model for fluid flow, called Stochastic Rotation Dynamics, can be made Galilean invariant by introducing a random shift of the computational grid before collisions. In this paper, it is shown how the…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

The large density of gluons, which is present shortly after a nuclear collision at very high energies, can lead to the formation of a condensate. We identify a gauge-invariant order parameter for condensation based on elementary…

High Energy Physics - Phenomenology · Physics 2020-08-19 Jürgen Berges , Kirill Boguslavski , Mark Mace , Jan M. Pawlowski

We have attempted to build first some simplified model to map the interaction of quarks and gluons, which can be contained by their thermodynamical quantity like entropy density, obtained from calculation of lattice quantum chromo dynamics…

High Energy Physics - Phenomenology · Physics 2020-04-22 Sarthak Satapathy , Souvik Paul , Ankit Anand , Ranjesh Kumar , Sabyasachi Ghosh

These lectures are an introduction to recent developments in the study of the high temperature phase of QCD by using weak coupling techniques. After a brief introduction to some techniques of quantum field theory at finite temperature, I…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jean-Paul Blaizot

We investigate a $2d$-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density $\rho_c$. We derive the hydrodynamic equation for this model, showing that all critical exponents governing the…

Statistical Mechanics · Physics 2025-01-07 Clément Erignoux , Alexandre Roget , Assaf Shapira , Marielle Simon

Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge…

Statistical Mechanics · Physics 2017-06-09 Loris Ercole , Aris Marcolongo , Paolo Umari , Stefano Baroni

Quark-Gluon plasmas produced in relativistic heavy-ion collisions quickly expand and cool, entering a phase consisting of multiple interacting hadronic resonances just below the QCD deconfinement temperature, $T\sim 155$ MeV. Numerical…

Nuclear Theory · Physics 2017-02-08 Scott Pratt , Alexander Baez , Jane Kim

Entropy production in the compression stage of heavy ion collisions is discussed within three distinct macroscopic models (i.e. generalized RHTA, geometrical overlap model and three-fluid hydrodynamics). We find that within these models…

Nuclear Theory · Physics 2009-10-31 M. Reiter , A. Dumitru , J. Brachmann , J. A. Maruhn , H. Stöcker , W. Greiner

The equilibrium thermodynamic properties of the SU(N) plasma at finite temperature are studied non-perturbatively in the large-N limit, via lattice simulations. We present high-precision numerical results for the pressure, trace of the…

High Energy Physics - Lattice · Physics 2009-12-14 Marco Panero

A gas of particles which collide inelastically if their impact velocity exceeds a certain value is investigated. In difference to common granular gases, cluster formation occurs only as a transient phenomenon. We calculate the decay of…

Statistical Mechanics · Physics 2009-11-07 Thorsten Poeschel , Nikolai V. Brilliantov , Thomas Schwager

We study properties of a gluon plasma above the critical temperature $T_c$ in a generalized quasi-particle approach with a Lorentz spectral function. The model parameters are determined by a fit of the entropy $s$ to lattice QCD data. The…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Peshier , W. Cassing

An analysis of the temperature dependence of the leading contributions to the gluon condensate for SU(N) lattice gauge theory is presented using the data from recent Monte Carlo simulations. The gluon condensate is calculated directly from…

High Energy Physics - Phenomenology · Physics 2007-05-23 Graham Boyd , David E. Miller

We derive here the equation of state for quark matter with a nontrivial vacuum structure in QCD at finite temperature and baryon density. Using thermofield dynamics, the parameters of thermal vacuum and the gluon condensate function are…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Mishra H. Mishra , S. P. Misra