Glueballs from the Bethe-Salpeter equation
High Energy Physics - Phenomenology
2015-03-23 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
We formulate a framework to determine the mass of glueball states of Landau gauge Yang-Mills theory in the continuum. To this end we derive a Bethe-Salpeter equation for two gluon bound states including the effects of Faddeev-Popov ghosts. We construct a suitable approximation scheme such that the interactions in the bound state equation match a corresponding successful approximation of the Dyson-Schwinger equations for the Landau gauge ghost and gluon propagators. Based upon a recently obtained solution for the propagators in the complex momentum plane we obtain results for the mass of the scalar and pseudoscalar glueballs. In the scalar channel we find a mass value in agreement with lattice gauge theory.
Keywords
Cite
@article{arxiv.1503.06051,
title = {Glueballs from the Bethe-Salpeter equation},
author = {Helios Sanchis-Alepuz and Christian S. Fischer and Christian Kellermann and Lorenz von Smekal},
journal= {arXiv preprint arXiv:1503.06051},
year = {2015}
}
Comments
10 pages, 2 figures, 1 table