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We present the results of continuum-extrapolated lattice simulations of quantum chromodynamics (QCD) above the crossover temperature and for unprecedentedly high baryon densities at the physical point, employing the complex Langevin…

High Energy Physics - Lattice · Physics 2026-04-22 Michael Mandl , Dénes Sexty , Daniel Unterhuber

Due to the sign problem, it is exponentially difficult to study QCD on the lattice at finite chemical potential. We propose a method --an overlap improving multi-parameter reweighting technique-- to alleviate this problem. We apply this…

High Energy Physics - Lattice · Physics 2009-07-09 Z. Fodor , S. D. Katz

At sufficiently high temperature and density, quantum chromodynamics (QCD) is expected to undergo a phase transition from the confined phase to the quark-gluon plasma phase. In the Lagrangian lattice formulation the Monte Carlo method works…

High Energy Physics - Lattice · Physics 2009-10-31 E. B. Gregory , S. Guo , H. Kroger , Xiang-Qian Luo

Lattice formulation of Finite Baryon Density QCD is problematic from computer simulation point of view; it is well known that for light quark masses the reconstructed partition function fails to be positive in a wide region of parameter…

High Energy Physics - Lattice · Physics 2009-12-30 R. Aloisio , V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo

We propose a method to study lattice QCD at finite temperature (T) and chemical potential (\mu). We test the method and compare it with the Glasgow method using n_f=4 staggered QCD with imaginary \mu. The critical endpoint (E) of QCD on the…

High Energy Physics - Lattice · Physics 2009-11-07 Z. Fodor , S. D. Katz

We map out the QCD crossover line $\frac{T_c(\mu_B)}{T_c(0)} = 1 - \kappa_2 \left( \frac{\mu_B}{T_c(0)} \right)^2 - \kappa_4 \left( \frac{\mu_B}{T_c(0)} \right)^4 + \mathcal{O}(\mu_B^6)$ for the first time up to $\mathcal{O}(\mu_B^4)$ for a…

High Energy Physics - Lattice · Physics 2019-02-20 Patrick Steinbrecher

We simulate lattice QCD at a finite chemical potential $\mu_I$ for isospin ($I_3$) at zero and finite temperatures. At some $\mu_I=\mu_c$ QCD has a second order transition with mean-field critical exponents to a state where ($I_3$) is…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , D. K. Sinclair

At sufficiently high temperature and density, quantum chromodynamics (QCD) predicts phase transition from the hadronic phase to the quark-gluon plasma phase. Lattice QCD is the most useful tool to investigate this critical phenomenon, which…

High Energy Physics - Phenomenology · Physics 2017-08-23 Xiang-Qian Luo , Eric B. Gregory , Shuo-Hong Guo , Helmut Kroger

We report progress in our exploration of the finite-temperature phase structure of two-flavour lattice QCD with twisted-mass Wilson fermions and a tree-level Symanzik-improved gauge action for a temporal lattice size N_{\tau}=8. Extending…

High Energy Physics - Lattice · Physics 2010-01-21 E. -M. Ilgenfritz , K. Jansen , M. P. Lombardo , M. Müller-Preussker , M. Petschlies , O. Philipsen , L. Zeidlewicz

Quantum chromodynamics (QCD) at finite temperature (T), baryon chemical potential (\muB) and isospin chemical potential (\muI) is studied in the strong coupling limit on a lattice with staggered fermions. With the use of large dimensional…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yusuke Nishida

QCD is expected to have a rich phase structure. It is empirically known to be difficult to access low temperature and nonzero chemical potential $\mu$ regions in lattice QCD simulations. We address this issue in a lattice QCD with the use…

High Energy Physics - Lattice · Physics 2012-06-08 Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Atsushi Nakamura , Takuya Saito

I discuss recent results on lattice QCD calculations with the main emphasis on the thermodynamics of the crossover region, restoration of the chiral symmetry and fluctuations of conserved charges as indicator of deconfinement, that may also…

High Energy Physics - Lattice · Physics 2015-06-15 Alexei Bazavov

The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperatures $T$ are introduced by compactifying one spatial dimension, which makes all thermodynamical…

High Energy Physics - Phenomenology · Physics 2018-10-19 Ehsan Ebadati , Hugo Reinhardt , Peter Vastag

The domain wall formulation of lattice fermions is expected to support accurate chiral symmetry, even at finite lattice spacing. Here we attempt to use this new fermion formulation to simulate two-flavor, finite temperature QCD near the…

High Energy Physics - Lattice · Physics 2009-10-31 P. Chen , N. Christ , G. Fleming , A. Kaehler , C. Malureanu , R. Mawhinney , G. Siegert , C. Sui , P. Vranas , L. Wu , Y. Zhestkov

In this Letter we employ lattice simulations to search for the critical point of quantum chromodynamics (QCD). We search for the onset of a first order QCD transition on the phase diagram by following contours of constant entropy density…

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

This paper discusses a paradox encountered when employing the canonical approach, particularly in the high-temperature region where the Roberge-Weiss transition exists at finite imaginary chemical potential. The paradox is that the results…

High Energy Physics - Phenomenology · Physics 2026-05-20 Kouji Kashiwa , Hiroaki Kouno

Our knowledge about the QCD phase diagram at finite baryon chemical potential $\mu_{B}$ is limited by the well known sign problem. The path integral measure, in the standard determinantal approach, becomes complex at finite $\mu_{B}$ so…

High Energy Physics - Lattice · Physics 2018-11-08 Giuseppe Gagliardi , Wolfgang Unger

Based on universal arguments it is believed that there is a critical point (E) in QCD on the temperature (T) versus chemical potential (\mu) plane, which is of extreme importance for heavy-ion experiments. Using finite size scaling and a…

High Energy Physics - Lattice · Physics 2009-11-07 Z. Fodor , S. D. Katz

The long-standing issue of the nature of the critical line of lattice QCD with the Wilson quark action at finite-temperatures, defined to be the line of vanishing pion screening mass, and its relation to the line of finite-temperature…

High Energy Physics - Lattice · Physics 2009-10-28 S. Aoki , A. Ukawa , T. Umemura
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