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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

In order to understand the role of QCD in the early universe, we perform hybrid Monte-Carlo simulation of lattice QCD with $N_f=2+1+1$ optimal domain-wall quarks at the physical point, on the $64^3 \times (6,8,10,12,16,20,64)$ lattices,…

High Energy Physics - Lattice · Physics 2022-09-21 Yu-Chih Chen , Ting-Wai Chiu , Tung-Han Hsieh

When the free energy density of QCD is expanded in a series in the chemical potential, mu, the Taylor coefficients are the non-linear quark number susceptibilities. We show that these depend on the prescription for putting chemical…

High Energy Physics - Lattice · Physics 2009-11-10 Rajiv V. Gavai , Sourendu Gupta

I review recent lattice results on strongly interacting matter under extreme conditions, with emphasis on the finite-temperature QCD transition at $\mu_B=0$, its approach toward the chiral limit and the fate of the $U_A(1)$ anomaly, as well…

High Energy Physics - Lattice · Physics 2026-05-12 Heng-Tong Ding

The perturbative expansion of the pressure of hot QCD is computed here to order g^6ln(g) in the presence of finite quark chemical potentials. In this process all two- and three-loop one-particle irreducible vacuum diagrams of the theory are…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Vuorinen

External electromagnetic fields provide a useful probe of QCD matter, but real electric fields are hindered by the sign problem, motivating studies with imaginary electric fields. We investigate mesonic screening correlators in lattice QCD…

High Energy Physics - Lattice · Physics 2026-03-31 Ji-Chong Yang , Zhan Zhao , Xiang-Ning Li , Wen-Wen Li

The magnetic fields generated in non-central heavy-ion collisions are among the strongest fields produced in the Universe, reaching magnitudes comparable to the scale of the strong interactions. Backed by model simulations, the resulting…

High Energy Physics - Lattice · Physics 2021-11-29 B. B. Brandt , F. Cuteri , G. Endrődi , G. Markó , A. D. M. Valois

We discuss recent results and future prospects regarding the investigation, by lattice simulations, of the non-perturbative properties of QCD and of its phase diagram in presence of magnetic or chromomagnetic background fields. After a…

High Energy Physics - Lattice · Physics 2015-06-11 Massimo D'Elia

Two parameters that have a strong influence on the finite temperature QCD transition, and play an important role in various physical scenarios are the quark density and the external magnetic field. The effect of these parameters on the…

High Energy Physics - Lattice · Physics 2015-06-17 G. Endrodi

We study the susceptibilities of quark number, isospin number and electric charge in numerical simulations of lattice QCD at high temperature and density. We discuss the equation of state for 2 flavor QCD at non-zero temperature and…

High Energy Physics - Lattice · Physics 2009-11-10 S. Ejiri , C. R. Allton , M. Doering , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

The response of the QCD vacuum to a constant external (electro)magnetic field is studied through the tensor polarization of the chiral condensate and the magnetic susceptibility at zero and at finite temperature. We determine these…

High Energy Physics - Lattice · Physics 2013-05-30 G. S. Bali , F. Bruckmann , M. Constantinou , M. Costa , G. Endrodi , S. D. Katz , H. Panagopoulos , A. Schaefer

We study the quark number susceptibility of the hot quark-gluon plasma at zero and non-zero quark number density, using lattice Monte Carlo simulations of an effective theory of QCD, electrostatic QCD (EQCD). Analytic continuation is used…

High Energy Physics - Lattice · Physics 2009-12-15 Ari Hietanen , Kari Rummukainen

We report the current status of our systematic studies of the QCD thermodynamics by lattice QCD simulations with two flavors of improved Wilson quarks. We evaluate the critical temperature of two flavor QCD in the chiral limit at zero…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , N. Ukita

A general introduction into the subject aimed at a general theoretical physics audience. We introduce the sign problem posed by finite density lattice QCD, and we discuss the main methods proposed to circumvent it, with emphasis on the…

High Energy Physics - Lattice · Physics 2008-11-26 M. P. Lombardo

We review the current methods and results of lattice simulations of quantum chromodynamics at nonzero temperatures and densities. The review is intended to introduce the subject to interested nonspecialists and beginners. It includes a…

High Energy Physics - Lattice · Physics 2009-07-24 C. E. DeTar , U. M. Heller

This review provides a comprehensive summary of results on the physics of strongly interacting matter in the presence of background electromagnetic fields, obtained via numerical lattice simulations of the underlying theory, Quantum…

High Energy Physics - Lattice · Physics 2025-01-08 Gergely Endrodi

Peripheral heavy-ion collisions are expected to exhibit magnetic fields with magnitudes comparable to the QCD scale, as well as non-zero baryon densities. Whereas QCD at finite magnetic fields can be simulated directly with standard lattice…

High Energy Physics - Lattice · Physics 2024-01-05 S. Borsányi , B. B. Brandt , G. Endrődi , J. Guenther , R. Kara , A. D. M. Valois

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

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

We summarize our results on the phase diagram of QCD with emphasis on the high temperature regime. For $T \ge 1.5 T_c$ the results are compatible with a free field behavior, while for $T \simeq 1.1 T_c$ this is not the case, clearly…

High Energy Physics - Lattice · Physics 2009-11-11 Massimo D'Elia , Francesco Di Renzo , Maria Paola Lombardo