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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1016/j.physletb.2004.06.043

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.

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