Non-perturbative singularity structure of gluon and quark propagators
High Energy Physics - Lattice
2009-11-07 v1
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
Cite
@article{arxiv.hep-lat/0106006,
title = {Non-perturbative singularity structure of gluon and quark propagators},
author = {Owe Philipsen},
journal= {arXiv preprint arXiv:hep-lat/0106006},
year = {2009}
}
Comments
4 pages, 1 figure