High precision study of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Q</mml:mi><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mi>¯</mml:mi></mml:mrow></mml:mover></mml:mrow></mml:mrow></mml:math>potential from Wilson loops at large distances

Bolder, Bram; Struckmann, Thorsten; Bali, Gunnar S.; Eicker, N.; Lippert, Thomas; Orth, Boris; Schilling, Klaus; Ueberholz, P.

doi:10.1103/physrevd.63.074504

Cited by 61 publications

(52 citation statements)

References 24 publications

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“…The Wilson loop expectation values are calculated on 16 3 32 lattices with APE smearing in spatial direction. The spatial path in a loop is determined by the Bresenham algorithm [8]. We calculate the string tension, σ and Sommer scale r 0 , which is defined [7] as the distance where the corresponding force of the static quark potential matches a certain value suggested by phenomenology: r 2 ∂V In our lattice setup, we find almost no mass and cutoff dependence in the potential scaled by r 0 at N τ © 4 and 6 ( Fig.2(left)).…”

Section: Scale Setting and The Heavy Quark Potentialmentioning

confidence: 99%

QCD thermodynamics with Nf=2+1 near the continuum limit at realistic quark masses

Umeda¹

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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We report on our study of QCD thermodynamics with 2 ¡ 1 flavors of dynamical quarks. In this proceeding we present several thermodynamic quantities and our recent calculation of the critical temperature. In order to investigate the thermodynamic properties of QCD near the continuum limit we adopt improved staggered (p4) quarks coupled with tree-level Symanzik improved glue on N t Introduction and Lattice SetupThe calculation of QCD thermodynamics from first principle is important for various research areas such as Heavy Ion Phenomenology, Cosmology and Astrophysics. Lattice QCD enables us to carry out such calculations. Especially for HIC phenomenology it is mandatory to improve estimates on some basic thermodynamic quantities which have been obtained in previous lattice calculations. One of the main subjects in our project is the accurate determination of the critical temperature T c , whose uncertainty, for example, strongly affects the critical energy density ε c because of its T c dependence, ε c¨T 4 c . Since thermodynamics of lattice QCD requires huge computational resources, it is difficult to perform an ideal simulation. Recent studies tell us that quark masses and the number of flavors strongly affect thermodynamic quantities [1]. Reliable continuum extrapolations are of tremendous importance as well [2]. Therefore, it is our aim to study QCD thermodynamics with almost realistic quark masses on the QCDOC machine at Brookhaven National Laboratory and the APEnext machine at Bielefeld University. The calculation is performed with N f © 2 1, which means 2 degenerate light quarks and one heavier quark on lattices with N t © 4 and 6. The lightest quark masses of our simulation yields a pion mass of about 150 MeV and a kaon mass of about 500 MeV.For such calculations we adopt the p4fat3 quark action, which is an improved Staggered quark action [3], with a tree-level improved Symanzik gauge action. By using the p4fat3 action, the free quark dispersion relation has the continuum form up to O p 4 , and the taste symmetry breaking is suppressed by a 3-link fattening term. The action also improves bulk thermodynamical quantities in the high temperature limit [3]. The improvements are essential to control the continuum extrapolation on rather coarse lattices, i.e. N t © 4 and 6. The gauge ensembles are generated by an exact RHMC algorithm [4].As a status report of the project, in this proceeding, we present several thermodynamic quantities, which are order parameters and their susceptibilities, the static quark potential, and the spatial string tension. In the last section we discuss the critical temperature at the physical point. The details of the critical temperature calculation are given in our recent paper [5]. Order Parameters and SusceptibilitiesTo investigate the QCD critical temperature and phase diagram, order parameters of the QCD transition are indispensable. In the chiral limit the chiral condensate ¯ψψ is the order parameter for the spontaneous chiral symmetry breaking of QCD. On the other hand in th...

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Section: Scale Setting and The Heavy Quark Potentialmentioning

confidence: 99%

QCD thermodynamics with Nf=2+1 near the continuum limit at realistic quark masses

Umeda¹

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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“…Such a rotation changes the phase by exp(iπr · (J h + L h )), which equals 1 by the constraint in Eq. (28). The additional constraint imposed by the reflection symmetry is therefore…”

Section: Many Of the Decay Modes Of The Xy Z Mesons Listed Inmentioning

confidence: 99%

“…For r > 2.4 r 0 , the minimal-energy prescription can not be used to define the Σ + g potential. Lattice QCD has nevertheless been used to calculate the Σ + g potential with high precision at larger values of r [28]. There is another B-O potential that approaches the threshold for a pair of static mesons as r → ∞.…”

Section: Quarkonium Potentialmentioning

confidence: 99%

Born-Oppenheimer approximation for theXYZmesons

2014

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Many of the XY Z mesons discovered in the last decade can be identified as bound states in BornOppenheimer (B-O) potentials for a heavy quark and antiquark. They include quarkonium hybrids, which are bound states in excited flavor-singlet B-O potentials, and quarkonium tetraquarks, which are bound states in flavor-nonsinglet B-O potentials. We present simple parameterizations of the deepest flavor-singlet B-O potentials. We infer the deepest flavor-nonsinglet B-O potentials from lattice QCD calculations of static adjoint mesons. Selection rules for hadronic transitions are used to identify XY Z mesons that are candidates for ground-state energy levels in the B-O potentials for charmonium hybrids and tetraquarks. The energies of the lowest-energy charmonium hybrids are predicted by using the results of lattice QCD calculations to calculate the energy splittings between the ground states of different B-O potentials and using the Schroedinger equation to determine the splittings between energy levels within a B-O potential.

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“…To maximize the overlap with the physical ground state the shortest paths in the x-z plane are considered using the Bresenham algorithm which has been applied for the lattice study of quark antiquark potential, i.e. see [53]. Analogous to the planar case, we define r = (x, z) and r + 1 = (x + 1, z) for a fixed value of z.…”

Section: Gauge Anisotropymentioning

confidence: 99%

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Lee

Lucini

Piai

2017

J. High Energ. Phys.

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We consider the SU(2) gauge theory with N f = 2 flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point correlation functions in the temporal direction as well as screening masses in various channels. We identify the (pseudo-)critical temperature as the temperature at which the susceptibility associated with the Polyakov loop has a maximum. At high temperature both the spin-1 and spin-0 sectors of the light meson spectra exhibit enhanced symmetry properties, indicating the restoration of both the global SU(4) and the axial U(1) A symmetries of the model.

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High precision study of theQQ¯potential from Wilson loops at large distances

Cited by 61 publications

References 24 publications

QCD thermodynamics with Nf=2+1 near the continuum limit at realistic quark masses

QCD thermodynamics with Nf=2+1 near the continuum limit at realistic quark masses

Born-Oppenheimer approximation for theXYZmesons

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

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