The Nf=0 heavy quark potential from short to intermediate distances

By S. Necco, Rainer Sommer. 2001

398 citations recorded by the source corpus.

Abstract We study the potential of a static quark–anti-quark pair in the range 0.05 fm⩽ r ⩽0.8 fm, employing a sequence of lattices up to 64 4 . Lattice artifacts in potential and force are investigated theoretically as well as numerically and continuum quantities are obtained by extrapolation of the results at finite lattice spacing. Consistency of the numerical results with the form of scaling violations predicted by an analysis a la Symanzik is found. The scale r 0 / a is determined for the Wilson action up to β =6.92.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/513e7977101ef4ab0f5bbcfeccf5b9269eca553f

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Citations in the corpus

Quark confinement and the bosonic string (2002, background): “J H E P 0 7 ( 2 0 0 2 ) 0 4 9 The precise choice of these functions takes into account the approximate shape of the potential, so that an enhancement of lattice effects is avoided, particularly at small distances [22, 4].”
FLAG Review 2019 (2019, methodology): “In the Nf = 0 case seven lattice spacings were used [695], giving a range μ/ΛMS ≈ 24–72 (or a−1 ≈ 2–7 GeV) and αeff = αMS(μ ∗) ≈ 0.”
Scale Setting in Lattice QCD (2014, background): “sent for the ratio r 1=r 0: It is about 0:66 for N f =2+1 [42, 10], for N f = 2 it has not directly been computed but from [27, 50] one can read off r 1=r 0 ˇ0:67 and ﬁnally for N f =0 the results of [21] and others imply r 1=r 0 =0:73. At least part of the theory scales in physical units have to de”
Multiquark Resonances (2016, background): “This behavior has been confirmed by lattice calculations with remarkable precision [184].”
Light Hadron Masses from Lattice QCD (2012, methodology): “…β = 6.0 used by (Marinari et al., 1981a) was a−1 = 1.12 GeV whereas modern determinations from various observables agree that it is a−1 ' 2.1− 2.3 GeV (Aoki et al., 2000; Durr et al., 2007; Giusti et al., 2001; Gutbrod et al., 1983; Lipps et al., 1983; Necco and Sommer, 2002; Otto and Stack, 1984).”
The QCD deconfinement transition for heavy quarks and all baryon chemical potentials (2011, methodology): “Using the nonperturbative beta-function for a(β) provided in [10], these can then be converted to deconfinement temperatures, as shown in figure 2.”
Lattice QCD without topology barriers (2011, methodology): “es, but lattices with larger time extent have been considered too. For the conversion to physical units, we use the Sommer radius r0 = 0.5 fm [23] and the results obtained for r0/aby Necco and Sommer [24]. The values of the lattice spacing determined in this way (3rd column of table 1) are such that”
Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “However, the analysis performed in [202] indicates that the chiral susceptibility and the Polyakov loop susceptibility peak in the range of T = 150− 170 MeV.”
The QCD equation of state with dynamical quarks (2010, methodology): “determine the β(a) function in the pure gauge case using the plaquette gauge action. We initialized the ﬁrst iteration with β<6.0 data. For comparison, we take the simulations up to β<6.92 from [34] and an extrapolation based on the results of [35]. The agreement is maintained over more than a”
Critical slowing down and error analysis in lattice QCD simulations (2010, background): “nd C4 also quenched measurements were carried out. Most ensembles are lattices generated with the Wilson gauge action of constant volume L4 with L = 2:2fm, where the physical scale comes from r 0=aof [20] with a nominal value of r 0 = 0:5fm [21]. We complement this in Sect. 4.5 by a comparison to dy”