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.
Cite
@article{arxiv.hep-ph/0404179,
title = {Vacuum Expectation Value of a Wegner-Wilson Loop near the Light Cone},
author = {H. J. Pirner and N. Nurpeissov},
journal= {arXiv preprint arXiv:hep-ph/0404179},
year = {2009}
}
Comments
12 pages, 2 figures, sections 2 and 3 shortened, more details added in section 4