The static potential: lattice versus perturbation theory in a renormalon-based approach

Abstract

We compare, for the static potential and at short distances, perturbation theory with the results of lattice simulations. We show that a renormalon-dominance picture explains why in the literature sometimes agreement, and another disagreement, is found between lattice simulations and perturbation theory depending on the different implementations of the latter. We also show that, within a renormalon-based scheme, perturbation theory agrees with lattice simulations.

18 pages, 11 figures, lattice data of Necco and Sommer introduced, references added, some lengthier explanations given, physical results unchanged

Cited by in corpus (58)

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• Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory
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• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
• Fine and Hyperfine Splittings of Charmonium and Bottomonium: An Improved Perturbative QCD Approach
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• Improved determination of Heavy Quarkonium magnetic dipole transitions in pNRQCD
• The charm/bottom quark mass from heavy quarkonium at N${}^3$LO
• The three-quark static potential in perturbation theory
• Lambda_msbar from the static potential for QCD with n_f=2 dynamical quark flavors
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Static QCD Potential at r < 1/Lambda_QCD: Perturbative expansion and operator-product expansion
• Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order
• Violation of Casimir Scaling for Static QCD Potential at Three-loop Order
• Full Formula for Heavy Quarkonium Energy Levels at Next-to-next-to-next-to-leading Order
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• Quark-antiquark potential to order 1/m and heavy quark masses
• P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• Strong IR Cancellation in Heavy Quarkonium and Precise Top Mass Determination
• Heavy hybrid decays to quarkonia
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• Effective Field Theories for Heavy Quarkonium
• Electric dipole transitions of $1P$ bottomonia
• Review on the determination of alpha_s from the QCD static energy
• Overview of Non-Relativistic QCD
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• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• QCD Static Force in Gradient Flow
• Comparing the QCD potential in Perturbative QCD and Lattice QCD at large distances
• The QCD static potential in D<4 dimensions at weak coupling
• Short-range potentials from QCD at order $g^2$
• Is there a linear potential at short distances?
• Relativistic corrections to the static energy in terms of Wilson loops at weak coupling
• A low-energy determination of ${\alpha }_s$ at three loops
• The scalar gluonium correlator: large-beta_0 and beyond
• Estimate of 4-loop Pole-MSbar Mass Relation from Static QCD Potential
• Constraining renormalon effects in lattice determination of heavy quark mass
• Quark-antiquark static energy from a restricted Fourier transform
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• Heavy baryons in the large Nc limit
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• The static quark self-energy at large orders from NSPT
• Lattice and renormalons in heavy quark physics