Non-perturbative singularity structure of gluon and quark propagators

Preprint

12 June 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/0106006

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.

Keywords

PERTURBATIVE SINGULARITY
SINGULARITY STRUCTURE
QUARK PROPAGATORS
GAUGE INVARIANT
EIGENVALUES
GLUON

All Related Versions

Version 1, 2001-06-12, ArXiv
Published version: Physics Letters B, 521 (3-4), 273.

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