Vacuum Expectation Value of a Wegner-Wilson Loop near the Light Cone

Abstract

Vacuum expectation values for one Wegner-Wilson loop representing a moving quark-antiquark pair are calculated in four-dimensional Euclidean and Minkowski space-time. The calculation uses gluon field strength correlators with perturbative gluon exchange and non-perturbative correlations from the stochastic vacuum model. The expectation value of a Wegner-Wilson loop forming a hyperbolic angle in Minkowski space-time is connected by an analytical continuation to the expectation value of the Wegner-Wilson loop in Euclidean four-space. The obtained result shows how confinement enters into the light-cone Hamiltonian for valence quarks independently of the chosen model.

12 pages, 2 figures, sections 2 and 3 shortened, more details added in section 4

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• An Approach towards a Constituent Quark Model on the Light Cone
• Jet quenching parameter \hat q in the stochastic QCD vacuum with Landau damping
• QCD - NLC