Eur. Phys. J. C 71, 1525 (2011)
https://doi.org/10.1140/epjc/s10052-010-1525-x

Constructing local composite operators for glueball states from a confining Gribov propagator

¹ Departamento de Física—Grupo de Física Teórica e Matemática Física, UFRRJ—Universidade Federal Rural do Rio de Janeiro, BR 465-07, 23890-971, Seropédica, RJ, Brasil
² Instituto de Física—Departamento de Física Teórica, UERJ—Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013, Maracanã, Rio de Janeiro, RJ, Brasil

msguimaraes@uerj.br

Received: 21 September 2010
Revised: 22 November 2010
Published online: 5 January 2011

Abstract

The construction of BRST invariant local operators with the quantum numbers of the lightest glueball states, J ^PC=0⁺⁺,2⁺⁺,0⁻⁺, is worked out by making use of an Euclidean confining renormalizable gauge theory. The correlation functions of these operators are evaluated by employing a confining gluon propagator of the Gribov type and shown to display a spectral representation with positive spectral densities. An attempt to provide a first qualitative analysis of the ratios of the masses of the lightest glueballs is also discussed.