The static QCD potential in coordinate space with quark masses through two loops

Abstract

The potential between infinitely heavy quarks in a color singlet state is of fundamental importance in QCD. While the confining long distance part is inherently non-perturbative, the short-distance (Coulomb-like) regime is accessible through perturbative means. In this paper we present new results of the short distance potential in coordinate space with quark masses through two loops. The results are given in explicit form based on reconstructed solutions in momentum space in the Euclidean regime. Thus, a comparison with lattice results in the overlap region between the perturbative and non-perturbative regime is now possible with massive quarks. We also discuss the definition of the strong coupling based on the force between the static sources.

28 pages, Latex2e, 16 eps figures

References in corpus (5)

• The infrared behaviour of the static potential in perturbative QCD
• Are there short distance non-perturbative contributions to the QCD static potential?
• The Two-Loop Scale Dependence of the Static QCD Potential including Quark Masses
• Charm Effects in the $\overline{MS}$ Bottom Quark Mass from ${\rm Y}$ Mesons
• The Two-Loop Static Potential

Cited by in corpus (37)

• Effective field theories for heavy quarkonium
• QCD forces and heavy quark bound states
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• The Nf=0 heavy quark potential from short to intermediate distances
• Quark confinement and the bosonic string
• The QCD Running Coupling
• Static quark anti-quark free energy and the running coupling at finite temperature
• Static QCD potential at three-loop order
• Fermionic contributions to the three-loop static potential
• Analytic Invariant Charge in QCD
• Quarkonium spectroscopy and perturbative QCD: massive quark-loop effects
• Heavy quark bound states above $T_c$
• Testing perturbation theory on the nf=0 static quark potential
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• QCD Running Couplings and Effective Charges
• Light quark mass effects in the on-shell renormalization constants
• Analytic three-loop static potential
• Near-threshold production of heavy quarks with QQbar_threshold
• Static QCD Potential at r < 1/Lambda_QCD: Perturbative expansion and operator-product expansion
• String-like behaviour of 4d SU(3) Yang-Mills flux tubes
• Heavy quark potential in the static limit of QCD
• Perturbative QCD Potential, Renormalon Cancellation and Phenomenological Potentials
• Gluinonia: Energy Levels, Production and Decay
• Physical Renormalization Schemes and Grand Unification
• A Connection Between The Perturbative QCD Potential and Phenomenological Potentials
• Lattice 2001: Reflections
• The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• On renormalons of static QCD potential at $u=1/2$ and $3/2$
• One-loop lattice artifacts of a dynamical charm quark
• NNNLO determination of the bottom-quark mass from non-relativistic sum rules
• Analytic invariant charge and the lattice static quark-antiquark potential
• Charm mass corrections to the bottomonium mass spectrum
• Momentum Representation of Coulomb Wave Functions and Level Shifts in Bottomonium due to Charm Effects
• The Static Potential to O(α^2) in Lattice Perturbation Theory
• The determination of potential scales in 2+1 flavor QCD