Determination of the Static Potential with Dynamical Fermions

Abstract

We present in detail a technique to extract the potential between a static quark and anti-quark pair from Wilson loops measured on dynamical configurations. This technique is based on HYP smearing and leads to an exponential improvement of the noise-to-signal ratio of Wilson loops. We explain why the correct continuum potential is obtained and show numerical evidence that the cut-off effects are small. We present precise results for the non-perturbative potential. As applications, we determine the scale r_0/a and study the shape of the static potential in the range of distances around r_0, where it can be compared with phenomenological potential models.

26 pages, 8 figures, 2 tables; new figure 2, update of figure 7, published version

References in corpus (10)

• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Critical slowing down and error analysis in lattice QCD simulations
• Fermionic contributions to the three-loop static potential
• Deflation acceleration of lattice QCD simulations
• The QCD static energy at NNNLL
• Quark-antiquark potential in AdS at one loop
• The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak coupling
• Introduction to Non-perturbative Heavy Quark Effective Theory
• Scale r_0 and the static potential from the CLS lattices
• B meson spectrum and decay constant from Nf=2 simulations

Cited by in corpus (36)

• FLAG Review 2021
• High-precision scale setting in lattice QCD
• The strange quark mass and Lambda parameter of two flavor QCD
• Determination of alpha_s from the QCD static energy: an update
• String breaking by light and strange quarks in QCD
• FLAG Review 2024
• Hadro-quarkonium from Lattice QCD
• Lambda_msbar from the static potential for QCD with n_f=2 dynamical quark flavors
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Determination of ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ and analytic parameterization of the static quark-antiquark potential
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• Diquark properties from full QCD lattice simulations
• Power corrections from decoupling of the charm quark
• On the phase structure of five-dimensional SU(2) gauge theories with anisotropic couplings
• How perturbative are heavy sea quarks?
• On the definition and interpretation of a static quark anti-quark potential in the colour-adjoint channel
• Form factors in lattice QCD
• The SU(3) Beta Function from Numerical Stochastic Perturbation Theory
• SU(3) Yang Mills theory at small distances and fine lattices
• Flavor Corrections in the Static Potential in Holographic QCD
• The $c\bar{c}$ interaction above threshold and the radiative decay $X(3872)\to J/\psi \gamma$
• Scale setting in lattice QCD
• Renormalization approach to constituent quark models of Quarkonium
• Confining force and running coupling with twelve fundamental and two sextet fermions
• High-loop perturbative renormalization constants for Lattice QCD (II): three-loop quark currents for tree-level Symanzik improved gauge action and n_f=2 Wilson fermions
• Microscopic study of the string breaking in QCD
• Calculation of the pion electromagnetic form factor from lattice QCD
• Heavy Wilson Quarks and O($a$) Improvement: Nonperturbative Results for $b_{\mathrm{g}}$
• Constructing static quark-anti-quark creation operators from Laplacian eigenmodes
• Current Topics in Heavy Quarkonium Physics
• Overview of charmonium decays and production from Non-Relativistic QCD
• Charm quark effects on the strong coupling extracted from the static force
• Decoupling of charm beyond leading order
• Lattice Gauge Theory - Gravity duality and Coulomb's constant in five dimensions
• The determination of potential scales in 2+1 flavor QCD
• Recent Developments in the Theory of Quarkonium