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Introduction Cold atomic gases in optical lattices are emerging as excellent laboratories for testing models of strongly interacting particles in condensed matter physics. Currently, one of the major open questions is how to obtain the…

Quantum Gases · Physics 2013-05-30 E. Duchon , Y. Kato , N. Trivedi

We review some analytic results on the deconfinement transition in pure lattice gauge theories. In particular we discuss the relationship between the deconfinement transition in the $(d+1)$-dimensional $SU(2)$ model and the magnetization…

High Energy Physics - Lattice · Physics 2007-05-23 M. Caselle

New incarnations of heavy-ion collision experiments are turning our attention to hard processes and a more fine-grained resolution of the QGP. In this endeavor quarkonia or open heavy flavors turn out to be versatile probes, which are…

High Energy Physics - Lattice · Physics 2022-02-08 Johannes Heinrich Weber

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

We use three-flavor chiral perturbation theory ($\chi$PT) to calculate the pressure, light and $s$-quark condensates of QCD in the confined phase at finite temperature to ${\cal O}(p^6)$ in the low-energy expansion. We also include…

High Energy Physics - Phenomenology · Physics 2023-01-18 Jens O. Andersen , Qing Yu , Hua Zhou

We match three hadronic equations of state at low energy densities to a perturbatively computed equation of state of quarks and gluons at high energy densities. One of them includes all known hadrons treated as point particles, which…

Nuclear Theory · Physics 2014-09-05 M. Albright , J. Kapusta , C. Young

We study the effect of periodic boundary conditions on chiral symmetry breaking and its restoration in Quantum Chromodynamics. As an effective model of the effective potential for the quark condensate, we use the quark-meson model, while…

High Energy Physics - Phenomenology · Physics 2020-12-15 Shen-Song Wan , Daize Li , Bonan Zhang , Marco Ruggieri

We study the charmonium properties at finite temperature using quenched lattice QCD simulations. Although a simple potential model analysis indicates no bound state at $T>1.05T_c$, our analyses of the spatial correlation between quark and…

High Energy Physics - Lattice · Physics 2009-11-07 Takashi Umeda , Hideo Matsufuru , Osamu Miyamura , Kouji Nomura

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

A study is made of properties of the Z(3) interface which forms between the different ordered phases of pure SU(3) gauge theory above a critical temperature. The theory is simulated on a (2+1)-D lattice at various temperatures above this…

High Energy Physics - Lattice · Physics 2007-05-23 S. T. West

In order to understand the experimental data on heavy quarkonium production in heavy ion collisions at RHIC and LHC it is necessary (though not sufficient) to pinpoint the properties of heavy $Q\bar{Q}$ bound states in the deconfined…

High Energy Physics - Lattice · Physics 2016-11-23 Seyong Kim , Peter Petreczky , Alexander Rothkopf

Astrophysical simulations of convection frequently impose different thermal boundary conditions at the top and the bottom of the domain in an effort to more accurately model natural systems. In this work, we study Rayleigh-Benard convection…

Fluid Dynamics · Physics 2020-09-15 Evan H. Anders , Geoffrey M. Vasil , Benjamin P. Brown , Lydia Korre

The crossover from hadronic to quark matter is understood to be both a deconfinement as well as a chiral symmetry restoring transition. Here, we study observables related to both aspects using lattice simulations: the Polyakov loop and its…

High Energy Physics - Lattice · Physics 2024-05-22 Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pasztor , Ludovica Pirelli , Chik Him Wong

We consider thermal QCD in the large N_C limit, mainly in 1+1 dimensions. The gauge coupling is only taken into account to minimal order, by projection onto colour singlets. An expression for the free energy, exact as N_C goes to infinity,…

High Energy Physics - Phenomenology · Physics 2016-09-06 Joakim Hallin , David Persson

Fluctuations of conserved charges calculated on the lattice which can be measured experimentally, are well reproduced by a hadron resonanse gas model at temperatures below T_{ch} ~ 155 MeV and radically deviate from the hadron resonance gas…

High Energy Physics - Phenomenology · Physics 2024-08-06 T. D. Cohen , L. Ya. Glozman

Hybrid Monte Carlo (HMC) simulations of lattice gauge theories with fermionic matter rely on the invertibility of the lattice Dirac operator. Near-zero modes of the latter can therefore significantly slow down the update algorithm and cause…

High Energy Physics - Lattice · Physics 2024-01-11 Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami

We investigate the use of partially twisted boundary conditions in a lattice simulation with two degenerate flavours of improved Wilson sea quarks. The use of twisted boundary conditions on a cubic volume (L^3) gives access to components of…

High Energy Physics - Lattice · Physics 2009-10-09 J. M. Flynn , A. Juttner , C. T. Sachrajda

We study the flux tube thickness of a generic Lattice Gauge Theory near the deconfining phase transition. It is well known that the effective string model predicts a logarithmic increase of the flux tube thickness as a function of the…

High Energy Physics - Lattice · Physics 2009-12-04 A. Allais , M. Caselle

The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite…

High Energy Physics - Lattice · Physics 2008-11-26 Guido Cossu , Massimo D'Elia , Adriano Di Giacomo , Biagio Lucini , Claudio Pica

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