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

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

24 pages, 5 figures, version accepted for publication in the European Physical Journal C

References in corpus (3)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• The Physics of Glueballs
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge

Cited by in corpus (3)

• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
• From unphysical gluon and ghost propagators to physical glueball propagators (in the Gribov-Zwanziger picture): a not so trivial task?