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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

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at…

High Energy Physics - Lattice · Physics 2009-11-02 Owe Philipsen

We study lattice two-color QCD (QC$_2$D) with two flavors of staggered fermions at imaginary and real quark chemical potential $\mu_q$ and $T>T_c$. We employ various methods of extrapolation of the quark number density from imaginary to…

High Energy Physics - Lattice · Physics 2024-12-16 A. Begun , V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , A. Nakamura , R. N. Rogalyov

Lattice QCD calculations of baryon forces are performed for the first time with (almost) physical quark masses. $N_f = 2+1$ dynamical clover fermion gauge configurations are generated at the lattice spacing of $a \simeq 0.085$ fm on a $(96…

We derive a new formulation to calculate the excess chemical potential of a fraction of $N_1$ particles interacting with $N_2$ particles of a different species. The excess chemical potential is calculated numerically from first principles…

Astrophysics · Physics 2008-11-26 Christophe Winisdoerffer , Gilles Chabrier , Gilles Zérah

We determine the equation of state of QCD at finite chemical potential, to order $(\mu_B/T)^6$, for a system of 2+1 quark flavors. The simulations are performed at the physical mass for the light and strange quarks on several lattice…

High Energy Physics - Lattice · Physics 2018-03-14 J. Gunther , R. Bellwied , S. Borsanyi , Z. Fodor , S. D. Katz , A. Pasztor , C. Ratti

Recent experimental measurements and lattice QCD calculations are now reaching the precision (and accuracy) needed to over-constrain the CKM parameters $\bar\rho$ and $\bar\eta$. In this brief review, I discuss the current status of lattice…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matthew Wingate

We study the effect of enforcing exact conservation of charges in statistical models of particle production for systems as large as those relevant to relativistic heavy ion collisions. By using a numerical method developed for small…

Nuclear Theory · Physics 2014-11-18 A. Keranen , F. Becattini

We compute high-order baryon number fluctuations at finite temperature and density within a QCD-assisted low energy effective field theory. Quantum, thermal and density fluctuations are incorporated with the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2021-10-04 Wei-jie Fu , Xiaofeng Luo , Jan M. Pawlowski , Fabian Rennecke , Rui Wen , Shi Yin

We study cold dense single-flavor $\mathrm{SU}(2)$ gauge theory in $(1+1)$ dimensions in the thermodynamic limit using a gauge-invariant variational uniform matrix product state ansatz. This formulation provides a sign-problem-free,…

High Energy Physics - Lattice · Physics 2026-05-19 Kohei Fujikura , Yoshimasa Hidaka

Finite density systems can be explored with Lattice QCD through the calculation of multi-hadron correlation functions. Recently, systems with up to 12 $\pi^+$'s or $K^+$'s have been studied to determine the 3-$\pi^+$ and 3-$K^+$…

High Energy Physics - Lattice · Physics 2010-08-16 William Detmold , Martin J. Savage

We offer the parameter, interpreted as the "chemical potential", which is sensitive to the first order phase transition: it must decrease with number of evaporating (produced) particles (hadrons) if the (interacting hadron or/and QCD…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Manjavidze , A. Sissakian

Out of the many exciting results obtained with the lattice approach to QCD under extreme conditions, I discuss a few selected items related to chiral symmetry: the chiral condensate as an approximate order parameter, meson screening masses,…

High Energy Physics - Lattice · Physics 2022-10-14 Gert Aarts

We propose a scheme to determine the chemical potential and baryon number density of the hadron-quark phase transition in cold dense strong interaction matter (compact star matter). The hadron matter is described with the relativistic mean…

High Energy Physics - Phenomenology · Physics 2023-05-26 Zhan Bai , Yu-xin Liu

We study the density of states method as well as reweighting to explore the low temperature phase diagram of QCD at finite baryon chemical potential. We use four flavors of staggered quarks, a tree-level Symanzik improved gauge action and…

High Energy Physics - Lattice · Physics 2018-10-24 G. Endrodi , Z. Fodor , S. D. Katz , D. Sexty , K. K. Szabo , Cs. Torok

The heavy quarkonium spectrum of Two Color QCD (QC$_2$D) at non-zero quark chemical potential $\mu$ and temperature $T$ with $\mu/T\gg1$ has been calculated in both $S$- and $P$-wave channels using a lattice non-relativistic formulation of…

High Energy Physics - Lattice · Physics 2015-06-04 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

The detection of strong magnetic fields in peripheral heavy-ion collisions is crucial for observing effects such as the chiral magnetic effect but has proven exceptionally difficult. To address this, we propose the baryon electric charge…

High Energy Physics - Lattice · Physics 2025-08-26 Heng-Tong Ding , Jin-Biao Gu , Arpith Kumar , Sheng-Tai Li

We investigate the spectroscopic properties of the strange particle kaon in the framework of hot and dense QCD. To this end, first, we find the perturbative spectral density, which is connected with both the temperature $T$ and the baryon…

High Energy Physics - Phenomenology · Physics 2023-10-24 G. Bozkır , A. Türkan , K. Azizi

The static three-quark potential in arbitrary configuration of quarks is calculated analytically. It is shown to be in a full agreement with the precise numerical simulations in lattice QCD. The results of the work have important…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. S. Kuzmenko

We present preliminary results for the calculation of the Kaon Bag parameter $B_K$ in $N_f=2+1$ lattice QCD, using M\"obius Domain Wall Fermion ensembles generated by the RBC-UKQCD collaboration. This computation is done directly at…

High Energy Physics - Lattice · Physics 2013-12-10 Julien Frison , Peter Boyle , Norman H. Christ , Nicolas Garron , Robert Mawhinney , Chris T. Sachrajda , Hantao Yin