A Gauge and Lorentz covariant Approximation for the Quark Propagator in an arbitrary Gluon Field

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dc.creatorGromes, D.
dc.date2001-03-27
dc.date2001-05-18
dc.date.accessioned2026-07-07T12:26:14Z
dc.date.available2026-07-07T12:26:14Z
dc.descriptionWe decompose the quark propagator in the presence of an arbitrary gluon field with respect to a set of Dirac matrices. The four-dimensional integrals which arise in first order perturbation theory are rewritten as line-integrals along certain field lines, together with a weighted integration over the various field lines. It is then easy to transform the propagator into a form involving path ordered exponentials. The resulting expression is non-perturbative and has the correct behavior under Lorentz transformations, gauge transformations and charge conjugation. Furthermore it coincides with the exact propagator in first order of the coupling g. No expansion with respect to the inverse quark mass is involved, the expression can even be used for vanishing mass. For large mass the field lines concentrate near the straight line connection and simple results can be obtained immediately.
dc.description15 pages, 3 figures. Replaced with version to appear in Eur. Phys. J. C
dc.identifierhttps://arxiv.org/abs/hep-ph/0103282
dc.identifierhttp://arxiv.org/abs/hep-ph/0103282
dc.identifierEur.Phys.J.C20:523-530,2001
dc.identifierdoi:10.1007/s100520100701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214816
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA Gauge and Lorentz covariant Approximation for the Quark Propagator in an arbitrary Gluon Field
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