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A quasi-particle model is presented which describes QCD lattice results for the 0, 2 and 4 quark-flavor equation of state. The results are mapped to finite baryo-chemical potentials. As an application of the model we make a prediction of…

Nuclear Theory · Physics 2008-11-26 B. Kämpfer , A. Peshier , G. Soff

The study of QCD phase diagram is very interesting, but we have never understood it well. This is because we face a problem at finite density in QCD. The problem is called sign problem. It causes a decrease of the calculation accuracy. This…

High Energy Physics - Lattice · Physics 2018-02-15 Shotaro Oka

Recent lattice QCD calculations show strong indications that the crossover of QCD at zero baryon chemical potential ($\mu_B$) is a remnant of the second order chiral phase transition. The non-universal parameters needed to map temperature…

High Energy Physics - Phenomenology · Physics 2021-02-03 Andrew Connelly , Gregory Johnson , Swagato Mukherjee , Vladimir Skokov

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

Quantum Chromodynamics (QCD) at finite density is most often formulated on the lattice as a grand canonical ensemble. Since lattice QCD has a complex action problem at finite baryo-chemical potential ($\mu_B$), its results at finite density…

I review recent developments in determining the QCD phase diagram by means of lattice simulations. Since the invention of methods to side-step the sign problem a few years ago, a number of additional variants have been proposed, and…

High Energy Physics - Lattice · Physics 2007-05-23 Owe Philipsen

We present recent results on the critical and pseudo-critical temperatures in (2+1)-flavor QCD with a physical strange quark mass and two degenerate light quark masses extrapolated to the chiral limit and tuned to the physical value,…

High Energy Physics - Lattice · Physics 2019-05-13 Frithjof Karsch

Despite intense experimental and theoretical research, the QCD phase diagram at finite baryon density remains to a large extent unexplored. From the theoretical side, the obvious non-perturbative approach is lattice QCD simulations, which…

We investigate the critical end point (CEP) of QCD with two flavours of light dynamical quarks at finite lattice cutoff a=1/4T using a Taylor expansion of the baryon number susceptibility. We find a strong volume dependence of the position…

High Energy Physics - Lattice · Physics 2007-05-23 Rajiv Gavai , Sourendu Gupta

We study four flavor QCD at nonzero temperature and density by analytic continuation from an imaginary chemical potential. The explored region is T = 0.95 T_c < T < 3.5 T_c, and the baryochemical potentials range from 0 to approx. 500 MeV.…

High Energy Physics - Lattice · Physics 2011-09-29 Massimo D'Elia , Maria Paola Lombardo

We study the phase diagram of quantum chromodynamics (QCD). For this purpose we employ the Schwinger-Dyson equations (SDEs) technique and construct a truncation of the infinite tower of equations by demanding a matching with the lattice…

High Energy Physics - Phenomenology · Physics 2015-06-15 Enif Gutierrez , Aftab Ahmad , Alejandro Ayala , Adnan Bashir , Alfredo Raya

The phase diagram of QCD, as a function of temperature T and quark chemical potential mu, may contain a critical point (mu_E,T_E) whose non-perturbative nature makes it a natural object of lattice studies. However, the sign problem prevents…

High Energy Physics - Lattice · Physics 2009-11-13 Ph. de Forcrand

The Bielefeld Parma Collaboration has in recent years put forward a method to probe finite density QCD by the detection of Lee-Yang singularities. The location of the latter is obtained by multi-point Pad\`e approximants, which are in turn…

High Energy Physics - Lattice · Physics 2024-05-21 F. Di Renzo , D. A. Clarke , P. Dimopoulos , J. Goswami , C. Schmidt , S. Singh , K. Zambello

One suggestion for determining the properties of QCD at finite temperatures and densities is to carry out lattice simulations with an imaginary chemical potential whereby no sign problem arises, and to convert the results to real physical…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , M. Laine , O. Philipsen

We present results on lattice QCD at finite temperature (T) and chemical potential (\mu). We apply the overlap-improving multi-parameter reweighting technique for n_f=4 and 2+1 staggered QCD. We use semi-realistic masses on L_t=4 lattices.…

High Energy Physics - Lattice · Physics 2008-11-26 Z. Fodor , S. D. Katz

Charting the phase diagram of Quantum Chromodynamics (QCD) at large density is a challenging task due to the complex action problem in lattice simulations. Through simulations at imaginary baryon chemical potential $\mu_B$ we observe that,…

High Energy Physics - Lattice · Physics 2025-11-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Piyush Kumar , Paolo Parotto , Attila Pásztor , Chik Him Wong

Neither the chiral limit nor finite baryon density can be simulated directly in lattice QCD, which severely limits our understanding of the QCD phase diagram. In this review I collect results for the phase structure in an extended parameter…

High Energy Physics - Lattice · Physics 2019-12-11 Owe Philipsen

One of the most challenging issues in particle physics is to study QCD in extreme conditions. Precise determination of the QCD phase diagram on temperature $T$ and chemical potential $\mu$ plane will provide valuable information for…

High Energy Physics - Lattice · Physics 2009-11-10 Xiang-Qian Luo , He-Sheng Chen

We discuss recent progress made studies of bulk thermodynamics of strongly interacting matter through lattice simulations of QCD with an almost physical light and strange quark mass spectrum. We present results on the QCD equation of state…

High Energy Physics - Lattice · Physics 2008-11-26 Frithjof Karsch

Recent developments in finite-temperature QCD with dynamical quarks are reviewed focusing on the topics of critical temperature, the equation of state, and critical behaviors around the chiral phase transition.

High Energy Physics - Lattice · Physics 2009-10-31 Shinji Ejiri