Nonperturbative evaluation of a field correlator appearing in the heavy quarkonium system

Abstract

Recently an electric and magnetic field correlator appearing in the description of the heavy quarkonium system was evaluated on the lattice. Here, we give a nonperturbative analytical evaluation of this field correlator using a dual description of long distance Yang--Mills theory and using the stochastic vacuum model. The two predictions are both compatible with lattice data but show a different dependence on the quark separation. We discuss the analytic results in relation to the lattice data.

arXiv comment13 pages, Latex--Elsevier document class 'elsart'

References in corpus (1)

• A consistent derivation of the quark--antiquark and three quark potentials in a Wilson loop context

Cited by in corpus (20)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Effective field theories for heavy quarkonium
• QCD forces and heavy quark bound states
• Mass spectrum of orbitally and radially excited heavy-light mesons in the relativistic quark model
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• The QCD potential at O(1/m^2): Complete spin-dependent and spin-independent result
• Field Strength Correlators and Dual Effective Dynamics in QCD
• Heavy Quarkonia: Wilson Area Law, Stochastic Vacuum Model and Dual QCD
• Non-perturbative dynamics of the heavy-light quark system in the non-recoil limit
• Poincare' invariance and the heavy-quark potential
• Effective String Theory of Vortices and Regge Trajectories
• Comparion of Lattice and Dual QCD Results for Heavy Quark Potentials
• Potential regime for heavy quarks dynamics and Lorentz nature of confinement
• From the Feynman-Schwinger representation to the non-perturbative relativistic bound state interaction
• The $q\bar{q}$ semirelativistic interaction in the Wilson loop approach
• A New Constraint on Effective Field Theories of the QCD Flux Tube
• The colormagnetic confinement in QCD
• Dual Meissner Effect and Quark Confinement Potential in S U(3) Dual QCD Formalism
• The non-perturbative QCD potential
• The $q\bar{q}$ relativistic interaction in the Wilson loop approach