paper

Non-perturbative singularity structure of gluon and quark propagators

arXiv:hep-lat/0106006 · doi:10.1016/S0370-2693(01)01233-3

Abstract

A gauge invariant, non-local observable is constructed in lattice pure gauge theory, which is identical to the gluon propagator in a particular gauge. The transfer matrix formalism is used to show that this correlator decays exponentially with eigenvalues of the Hamiltonian. This implies a gauge invariant singularity structure of the propagator in momentum space, permitting a non-perturbative definition of a parton mass. The relation to gauge fixing and the extension to matter fields are discussed.

4 pages, 1 figure

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