Non-perturbative singularity structure of gluon and quark propagators

Details Non-perturbative singularity structure of gluon and quark propagators Non-perturbative singularity structure of gluon and quark propagators

2001-06-12

arxiv.org/abs/hep-lat/0106006v1

Phys.Lett. B521 (2001) 273-278

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 1 figure

Scientific paper

10.1016/S0370-2693(01)01233-3

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.

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