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

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• Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
• Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
• Dispersion relations for unphysical particles
• A study of the lightest glueball states in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge
• Features of the Refined Gribov-Zwanziger theory: propagators, BRST soft symmetry breaking and glueball masses
• From unphysical gluon and ghost propagators to physical glueball propagators (in the Gribov-Zwanziger picture): a not so trivial task?
• A BRST Characterization of the Broken Phase Observables of the Confining Complex Theory
• A path to confine gluons and fermions through complex gauge theory
• Complex Chern-Simons and Gribov