Estudo de um operador de massa não local na teoria de Gribov-Zwanziger

Abstract

In this work we make a detailed study about a nonlocal mass type operator within the Gribov problem. This operator contributes to the mass of the gauge field and the resulting propagator, qualitatively, is in agreement with the numerical results obtained in the lattice in D = 3. This operator can be placed in a local form, analogously to the Gribov-Zwanziger theory, through auxiliary fields. The resulting theory does not have the BRST symmetry, however, by introducing a set of sources it is possible to retrieve it in order to increase the symmetry content and facilitate renormalization at the quantum level. Although the model's renormalizability has not been proven, a path could be constructed and some results have already been obtained or glimpsed, such as the existence of Ward identities that prohibit the existence of quark terms from auxiliary fields, so damaging to the model's renormalizability of the gauge invariant mass operator.