Infrared Behaviour of Propagators and Vertices
Nuclear Theory
2010-03-04 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We elucidate constraints imposed by confinement and dynamical chiral symmetry breaking on the infrared behaviour of the dressed-quark and -gluon propagators, and dressed-quark-gluon vertex. In covariant gauges the dressing of the gluon propagator is completely specified by P(k^2):= 1/[1+Pi(k^2)], where Pi(k^2) is the vacuum polarisation. In the absence of particle-like singularities in the dressed-quark-gluon vertex, extant proposals for the dressed-gluon propagator that manifest P(k^2=0)=0 and Max[P(k^2)]~10 neither confine quarks nor break chiral symmetry dynamically. This class includes all existing estimates of P(k^2) via numerical simulations.
Keywords
Cite
@article{arxiv.nucl-th/9807056,
title = {Infrared Behaviour of Propagators and Vertices},
author = {Frederick T. Hawes and Pieter Maris and Craig D. Roberts},
journal= {arXiv preprint arXiv:nucl-th/9807056},
year = {2010}
}
Comments
10 pages, 2 figures