Lattice gauge theory computation of the static force

Abstract

We explore a novel approach to compute the force between a static quark and a static antiquark with lattice gauge theory directly. The approach is based on expectation values of Wilson loops or Polyakov loops with chromoelectric field insertions. We discuss theoretical and technical aspects in detail, in particular, how to compensate large discretization errors with a multiplicative renormalization factor and the evaluation using a multilevel algorithm. We also compare numerical results for the static force to corresponding results obtained in the traditional way, i.e., by computing first the static potential and then taking the derivative.

22 pages, 6 figures; v2: updated to match published version

References in corpus (9)

• Nonperturbative determination of the QCD potential at O(1/m)
• Spin-dependent potentials from lattice QCD
• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
• The QCD static energy at NNNLL
• The static-light meson spectrum from twisted mass lattice QCD
• Nonperturbative potential for study of quarkonia in QGP
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• Relativistic corrections to the static potential at O(1/m) and O(1/m^2)
• Non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and the B* - B mass splitting

Cited by in corpus (9)

• 50 Years of Quantum Chromodynamics
• Hybrid static potentials in SU(3) lattice gauge theory at small quark-antiquark separations
• Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
• A Journey of Seeking Pressure and Forces in the Nucleon
• Static force from generalized Wilson loops on the lattice using the gradient flow
• Momentum Flow Mechanisms and Color-Lorentz Forces on Quarks in the Nucleon
• Hybrid static potentials in SU(2) lattice gauge theory at short quark-antiquark separations
• Non-Markovian dynamics of bottomonia in the QGP
• Wilson loops with neural networks