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The status of lattice QCD investigations at high temperature is reviewed. After a short introduction into thermal QCD on the lattice we report on the present understanding of the phase diagram and the equation of state, in particular in…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Laermann , O. Philipsen

The equation of state of deconfined strongly interacting matter at high densities remains an open question, with effects from quark pairing in the preferred color-flavor-locked (CFL) ground state possibly playing an important role. Recent…

High Energy Physics - Phenomenology · Physics 2025-11-21 Andreas Geißel , Tyler Gorda , Jens Braun

The equation of state of QCD at finite temperatures and baryon densities has a wide range of applications in many fields of modern particle and nuclear physics. It is the main ingredient to describe the dynamics of experimental heavy ion…

High Energy Physics - Lattice · Physics 2015-06-05 Owe Philipsen

We use next-to-leading-order in perturbation theory to investigate the effects of a finite isospin density on the thermodynamics of cold strongly interacting matter. Our results include nonzero quark masses and are compared to lattice data.

High Energy Physics - Phenomenology · Physics 2016-08-03 Thorben Graf , Juergen Schaffner-Bielich , Eduardo S. Fraga

We study the color correlation between static quark and antiquark ($q\bar q$) that is accompanied by gluonic excitations in the confined phase at $T=0$ by constructing reduced density matrices $\rho$ in color space. We perform quenched…

High Energy Physics - Lattice · Physics 2024-12-10 Toru T. Takahashi , Yoshiko Kanada-En'yo

This article reviews recent progress of QCD phase structure, including color superconductor at high baryon density and strongly interacting quark-gluon plasma (sQGP) at high temperature created through relativistic heavy ion collision. A…

High Energy Physics - Phenomenology · Physics 2010-01-20 Mei Huang

We study correlation functions of spatially separated static quark-antiquark pairs in (2+1)-flavor QCD in order to investigate onset and nature of color screening at high temperatures. We perform lattice calculations in a wide temperature…

High Energy Physics - Lattice · Physics 2019-01-23 TUMQCD collaboration , Alexei Bazavov , Nora Brambilla , Peter Petreczky , Antonio Vairo , Johannes Heinrich Weber

With increasing requirements for greater precision, it becomes essential to describe the effects of isospin breaking induced by both quark masses and electro-magnetic effects. In this work we perform a lattice analysis of the weak decay…

High Energy Physics - Lattice · Physics 2023-09-18 Z. R. Kordov , R. Horsley , W. Kamleh , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We consider two-flavor asymmetric QCD combined with a low-energy effective model inspired by chiral perturbation theory and lattice data to investigate the effects of masses, isospin and baryon number on the pressure and the deconfinement…

High Energy Physics - Phenomenology · Physics 2009-03-23 L. F. Palhares , E. S. Fraga , C. Villavicencio

We review the existing weak-coupling results on the thermodynamic potential of deconfined QCD at small and large quark chemical potential and compare with results from lattice gauge theory as well as the exactly solvable case of large-N_f…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas Gerhold , Andreas Ipp , Anton Rebhan

I discuss different approaches to finite density lattice QCD. In particular, I focus on the structure of the phase diagram and discuss attempts to determine the location of the critical end-point. Recent results on the transiton line as…

High Energy Physics - Lattice · Physics 2008-11-26 Christian Schmidt

We review recent work on the phase structure of QCD at very high baryon density. We introduce the phenomenon of color superconductivity and discuss the use of weak coupling methods. We study the phase structure as a function of the number…

Nuclear Theory · Physics 2009-11-07 Thomas Schaefer

For the exploration of the phase diagram of QCD, effective Polyakov loop theories derived from lattice QCD provide a valuable tool in the heavy quark mass regime. Using mean field approximations these theories are evaluated in the high and…

High Energy Physics - Lattice · Physics 2025-02-03 Christoph Konrad , Owe Philipsen

We discuss the role of cumulants of net baryon number fluctuations in the analysis of critical behavior in QCD and the study of freeze-out conditions in heavy ion experiments. Through the comparison of the current set of measurements of…

High Energy Physics - Phenomenology · Physics 2013-05-29 Frithjof Karsch , Krzysztof Redlich

We present some lattice QCD results on first ($\chi_1^i$) and second ($\chi_2^i$) cumulants of and correlations ($\chi_{11}^{ij}$) among net baryon-number ($B$), strangeness ($S$) and electric charge ($Q$) along the pseudo-critical line…

High Energy Physics - Lattice · Physics 2024-10-03 D. Bollweg , H. -T. Ding , J. Goswami , F. Karsch , Swagato Mukherjee , P. Petreczky , C. Schmidt

We present generalizations of Hamiltonian Lattice QCD as derived from the continuous time limit of strong coupling lattice QCD: we discuss the flavor dependence and the effect of gauge corrections. This formalism can be applied at finite…

High Energy Physics - Lattice · Physics 2021-12-23 Pratitee Pattanaik , Wolfgang Unger

The thermodynamic behavior of QCD matter at high temperature is currently studied by lattice QCD theory. The main features are the fast rise of the energy density $\epsilon$ around the critical temperature $T_c$ and the large trace anomaly…

High Energy Physics - Phenomenology · Physics 2015-05-27 Salvatore Plumari , Wanda M. Alberico , Vincenzo Greco , Claudia Ratti

The two-flavor color superconductivity is studied over a wide range of baryon density with a single model. We pay a special attention to the spatial-momentum dependence of the gap and to the spatial-structure of Cooper pairs. At extremely…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hiroaki Abuki , Tetsuo Hatsuda , Kazunori Itakura

The freeze-out curve, which describes a vast amount of precise experimental data in heavy ion collisions, provides a relation between the colliding energy and the thermodynamical parameters of the fireball. The variance, skew and kurtosis…

High Energy Physics - Phenomenology · Physics 2011-12-23 Rajiv V. Gavai

Lattice QCD with heavy quarks reduces to a three-dimensional effective theory of Polyakov loops, which is amenable to series expansion methods. We analyse the effective theory in the cold and dense regime for a general number of colours,…

High Energy Physics - Lattice · Physics 2020-01-08 Owe Philipsen , Jonas Scheunert