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Lattice QCD allows us to simulate QCD at non-zero temperature and/or densities. Such equilibrium thermodynamics calculations are relevant to the physics of relativistic heavy-ion collisions. I give a brief review of the field with emphasis…

High Energy Physics - Lattice · Physics 2017-08-23 D. K. Sinclair

To reflect the asymptotic freedom in the thermal direction, a temperature-dependent coupling was proposed in the literature. We investigate its effect on QCD matter with and without strong magnetic fields. Compared with the fixed coupling…

High Energy Physics - Phenomenology · Physics 2017-10-11 Li Yang , Xin-jian Wen

Lattice Gauge Theory enables an ab initio study of the low-energy properties of Quantum Chromodynamics, the theory of the strong interaction. I begin these lectures by presenting the lattice formulation of QCD, and then outline the…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

According to the present understanding, the observed diversity of the strong interaction phenomena is described by Quantum Chromodynamics, a gauge field theory with only very few parameters. One of the fundamental questions in this context…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin Lüscher

We provide a concise review on recent theory advancements towards full-fledged (3+1)D dynamical descriptions of relativistic nuclear collisions at finite baryon density. Heavy-ion collisions at different collision energies produce…

Nuclear Theory · Physics 2021-10-27 Shanjin Wu , Chun Shen , Huichao Song

We investigate the effect of a finite volume on the critical behavior of the theory of the strong interaction (QCD) by means of a quark-meson model for two quark flavors. In particular, we analyze the effect of a finite volume on the…

High Energy Physics - Phenomenology · Physics 2014-09-17 Ralf-Arno Tripolt , Jens Braun , Bertram Klein , Bernd-Jochen Schaefer

A central quantity of importance for ultracold atoms is contact, which measures two-body correlations at short distances in dilute systems. It appears in universal relations among thermodynamic quantities, such as large momentum tails,…

Quantum Gases · Physics 2015-06-19 Y. -Y. Chen , Y. -Z. Jiang , X. -W. Guan , Qi Zhou

Recently we have made considerable progress in our understanding of the behavior of QCD in extreme conditions of high temperature or large baryon number density. Among the highlights are the prediction of a well-characterized true critical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Frank Wilczek

The QCD Critical Point is a pivotal feature of the phase diagram of strongly interacting matter. Signatures of the critical point are expected to manifest through the non-monotonic behavior of higher-order moments of conserved quantities,…

High Energy Physics - Phenomenology · Physics 2025-07-30 Amal Sarkar , Paramita Deb , Bidhan Mandal , Raghava Varma

Recent results on QCD thermodynamics are presented. The nature of the T>0 transition is determined, which turns out to be an analytic cross-over. The absolute scale for this transition is calculated. The results were obtained by using a…

High Energy Physics - Lattice · Physics 2008-12-18 Z. Fodor

I start by discussing recent ideas concerning three different heavy quark related observables in finite-temperature QCD. Subsequently selected studies related to light quarks and gluons are reviewed, with a focus on thermodynamic…

High Energy Physics - Lattice · Physics 2010-11-05 M. Laine

Strongly interacting matter exhibits new phases under extreme conditions. Matter was exposed to such extremes not only in the Early Universe, but also today in the cores of neutron stars, as well as in laboratory experiments at a much…

Nuclear Theory · Physics 2025-12-10 Szabolcs Borsanyi , Paolo Parotto

We study QCD at finite temperature in the presence of imaginary electric fields. In particular, we determine the electric susceptibility, the leading coefficient in the expansion of the QCD pressure in the imaginary field. Unlike for…

High Energy Physics - Lattice · Physics 2021-10-26 Gergely Endrodi , Gergely Marko

The quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions in physics, ranging from the behavior of particles in neutron…

I review recent developements in lattice QCD at finite temperature, including the determination of the transition temperature T_c, equation of state and diffenet static screening lengths. The lattice data suggest that at temperatures above…

Nuclear Theory · Physics 2007-05-23 P. Petreczky

We review recent results on QCD at finite temperature and non-vanishing baryon number density. We focus on observables which are of immediate interest to experimental searches for the Quark Gluon Plasma, i.e. the phase transition…

High Energy Physics - Lattice · Physics 2015-06-25 Frithjof Karsch

This chapter, to appear in the section on QCD under extreme conditions within the Encyclopedia of Nuclear Physics, aims to provide a pedagogical introduction to the physics of quarks and gluons in the presence of high temperature, nonzero…

High Energy Physics - Lattice · Physics 2026-04-30 Bastian B. Brandt , Gergely Endrodi

We study the behaviour of the contact process with rapid stirring on the lattice $\Z^d$ in dimensions $d\geq 3$. This process was studied earlier by Konno and Katori, who proved results for the speed of convergence of the critical value as…

Probability · Mathematics 2013-01-15 Leonid Mytnik , Roman Berezin

We evaluate thermodynamic observables such as pressure, baryon number, entropy and energy density, as well as the second and fourth order baryon number cumulants in the phase structure of QCD. The intertwined confinement and chiral dynamics…

High Energy Physics - Phenomenology · Physics 2025-04-08 Yi Lu , Fei Gao , Yu-xin Liu , Jan M. Pawlowski

The numerical technique of Lattice QCD holds the promise of connecting the nuclear forces, nuclei, the spectrum and structure of hadrons, and the properties of matter under extreme conditions with the underlying theory of the strong…

Nuclear Theory · Physics 2015-06-23 Silas R. Beane , William Detmold , Kostas Orginos , Martin J. Savage
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