The Dark Side of the Propagators: exploring their analytic properties by a massive expansion

Abstract

Analytical functions for the propagators of QCD, including a set of chiral quarks, are derived by a one-loop massive expansion in the Landau gauge, and are studied in Minkowski space, yielding a direct proof of positivity violation and confinement from first principles. Complex conjugated poles are found for the gluon propagator.

Comments: XIIth Quark Confinement & the Hadron Spectrum