Simetria BRST nilpotente, exata e não perturbativa para a ação de Gribov-Zwanziger

• Autor(a) principal: álvarez, Diego José Humberto Fiorentini
• Data de Publicação: 2018
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UERJ
• Texto Completo: http://www.bdtd.uerj.br/handle/1/12875
• topic: Confinement; Non-perturbative BRST symmetry; Yang-Mills theories; Confinamento; Simetria BRST não-perturbativa; Problema de Gribov; Teorias de Yang-Mills; CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DAS PARTICULAS ELEMENTARES E CAMPOS

In this thesis we propose a non-perturbative extension of the BRST symmetry within the Gribov-Zwanziger action scenario in the Landau, covariant linear and the Abelian maximal gauges, by introducing a Zwanziger horizon function BRST-invariant by construction, which allows solve (partially) the problem of Gribov's ambiguity in an explicitly invariant way. The new formulation implies the loss of locality as much of action as of the transformation of BRST itself, but by conveniently introducing auxiliary fields, including one Stuckelberg-type, the locality can be restored, although giving up the polynomiality. We verified the emergence by dynamic effects of mass scales in several dimensions, leading to the refinement of the Gribov-Zwanziger model, associated with the appearance of complex poles and violation of the positivity of the fundamental degrees of freedom of the model, which we interpret as a signal of confinement. We show that due to the special construction of the invariant field, our Stuckelberg field has a special ultraviolet behavior that allows to prove the multiplicative renormalizability to all the orders of the model in its local form. Then, we analyze several consequences of the restitution of the BRST symmetry encoded in the Ward identities of the theory: exact behavior of the longitudinal part of the gluon colon correlator, the gauge-parameter independence of all correlation functions of local BRST-invariant operators and the generalization of the identities of Nielsen. Finally, we use the universal coupling conjecture of the Faddeev-Popov operator with all the fields that carry color to obtain an effective description of the conffinement in matter fields.