On dynamical gluon mass generation
Abstract
The effective gluon propagator constructed with the pinch technique is governed by a Schwinger-Dyson equation with special structure and gauge properties, that can be deduced from the correspondence with the background field method. Most importantly the non-perturbative gluon self-energy is transverse order-by-order in the dressed loop expansion, and separately for gluonic and ghost contributions, a property which allows for a meanigfull truncation. A linearized version of the truncated Schwinger-Dyson equation is derived, using a vertex that satisfies the required Ward identity and contains massless poles. The resulting integral equation, subject to a properly regularized constraint, is solved numerically, and the main features of the solutions are briefly discussed.
Keywords
Cite
@article{arxiv.0704.2308,
title = {On dynamical gluon mass generation},
author = {A. C. Aguilar and J. Papavassiliou},
journal= {arXiv preprint arXiv:0704.2308},
year = {2008}
}