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The static potential $V(r)$ between a static quark and a static antiquark separated by a distance r is defined as the energy of the ground state of the system. As a consequence of confinement, the energy between the quark-antiquark pair is…

High Energy Physics - Lattice · Physics 2018-11-26 Vanessa Koch , John Bulava , Ben Hörz , Francesco Knechtli , Graham Moir , Colin Morningstar , Mike Peardon

Lattice measurements of spatial distributions of the light quark bilinear densities in static mesons allow to test directly and in detail the wave functions of quark models. These distributions are gauge invariant quantities directly…

High Energy Physics - Phenomenology · Physics 2013-05-29 Damir Becirevic , Emmanuel Chang , Alain Le Yaouanc Luis Oliver , Jean-Claude Raynal

We present our most recent investigations on the QCD cross-over transition temperatures with 2+1 staggered flavours and one-link stout improvement [JHEP 1009:073, 2010]. We extend our previous two studies [Phys. Lett. B643 (2006) 46, JHEP…

High Energy Physics - Lattice · Physics 2011-09-16 Szabolcs Borsanyi , Zoltan Fodor , Christian Hoelbling , Sandor D. Katz , Stefan Krieg , Claudia Ratti , Kalman K. Szabo

We analyze the change in free energy, internal energy and entropy due to the presence of a heavy quark anti-quark pair in a QCD heat bath. The internal energies and entropies are introduced as intensive observables calculated through…

High Energy Physics - Lattice · Physics 2009-09-29 O. Kaczmarek , F. Zantow

We propose an improvement of the differential method for the computation of the equation of state of QCD from lattice simulations. In contrast to the earlier differential method our technique yields positive pressure for all temperatures…

High Energy Physics - Lattice · Physics 2015-06-25 Rajiv V. Gavai , Sourendu Gupta , Swagato Mukherjee

These lectures provide an introduction to lattice methods for nonperturbative studies of Quantum Chromodynamics. Lecture 1 (Ch. 2): Basic techniques for QCD and results for hadron spectroscopy using the simplest discretizations; lecture 2…

High Energy Physics - Phenomenology · Physics 2016-09-06 T. DeGrand

I review recent Lattice results. In particular, the confinement mechanism and string breaking, glueballs and hybrid mesons as well as light hadron spectroscopy are discussed.

High Energy Physics - Lattice · Physics 2008-11-26 Gunnar S. Bali

We report on the simulation of QCD with light dynamical quarks using the two-step multi-boson (TSMB) algorithm. In an exploratory study with two flavours of quarks at lattice spacing about 0.27 fm and with quark mass down to one sixth of…

High Energy Physics - Lattice · Physics 2015-06-25 F. Farchioni , C. Gebert , I. Montvay , L. Scorzato

This is a review of selected recent developments in finite-temperature lattice QCD. The focus is on the properties of the chiral crossover region, deconfinement and fluctuations of conserved charges, the equation of state, properties of…

High Energy Physics - Lattice · Physics 2015-05-22 Alexei Bazavov

In these lectures, we introduce finite temperature QCD on the lattice to non-experts of the subject. We first formulate lattice QCD both at zero and finite temperatures. Then a section is devoted to the topic of improved lattice actions…

High Energy Physics - Lattice · Physics 2008-11-26 K. Kanaya

The energies of glue in the presence of a static quark-antiquark pair are calculated for separations r ranging from 0.1 fm to 4 fm and for various quark-antiquark orientations on the lattice. Our simulations use an improved gauge-field…

High Energy Physics - Lattice · Physics 2009-10-31 K. J. Juge , J. Kuti , C. J. Morningstar

We investigate correlation functions of the Polyakov loop and static meson/diquark systems with the chiral condensate and the quark number density at finite temperature. In particular the latter observable can give insight in the mechanism…

High Energy Physics - Lattice · Physics 2009-04-14 Kay Huebner

We determine the scale setting function and the pseudo-critical temperature on the lattice in $N_f=2$ two-color QCD using the Iwasaki gauge and Wilson fermion actions. Although two-color QCD does not correspond to the real world, it is very…

High Energy Physics - Lattice · Physics 2020-08-17 Kei Iida , Etsuko Itou , Tong-Gyu Lee

We have calculated the pressure and energy density in four-flavour QCD using improved fermion and gauge actions. We observe a strong reduction of finite cut-off effects in the high temperature regime, similar to what has been noted before…

High Energy Physics - Lattice · Physics 2009-10-28 J. Engels , R. Joswig , F. Karsch , E. Laermann , M. Lütgemeier , B. Petersson

The string breaking model of particle production is extended in order to help explain the transverse momentum distribution in elementary collisions. Inspired by an idea of Bialas', we treat the string using a collective coordinate approach.…

Nuclear Theory · Physics 2009-11-11 Steven Steinke , Johann Rafelski

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

We investigate potentials between pairs of static-light mesons in Nf=2 Lattice QCD, in different spin channels. The question of attraction and repulsion is particularly interesting with respect to the X(3872) charmonium state and charged…

High Energy Physics - Lattice · Physics 2010-11-03 Gunnar Bali , Martin Hetzenegger

We study the string tension $\sigma$ of quantum chromodynamics (QCD) in external magnetic fields $B$ by combining the quasi-particle treatments for quarks with the collective treatments for gluons. We utilize the 1/Nc-expansion (Nc: number…

High Energy Physics - Phenomenology · Physics 2019-11-25 Gaoqing Cao , Toru Kojo

This lecture provides an introduction to quantum chromodynamics (QCD) on the lattice. The continuum limit and Monte Carlo simulations are briefly discussed. Different facets of QCD are nicely exhibited by the potential of a static quark and…

High Energy Physics - Lattice · Physics 2017-06-02 Francesco Knechtli

We have investigated QCD with two flavors of degenerate fermions using a Symanzik-improved lattice action for both the gauge and fermion actions. Our study focuses on the deconfinement transition on an $N_t=4$ lattice. Having located the…