Renormalizabilidade de teorias de Yang-Mills massivas com um campo tipo Stueckelberg

Abstract

In this work the dimension two gauge invariant non-local operator [A2 min], obtained through the minimization of [[…] d4xA2] along the gauge orbit, allows to introduce a non-local gauge invariant configuration [Ah µ] which can be employed to built up a class of Euclidean massive Yang-Mills models useful to investigate non-perturbative infrared effects of confining theories. A fully local setup for both [A2 min] and [Ah µ] can be achieved, resulting in a local and BRST invariant action which shares similarities with the Stueckelberg formalism. Though, unlike the case of the Stueckelberg action, the use of [A2 min] gives rise to an all orders renormalizable action, a feature which will be illustrated by means of a class of covariant gauge fixings which, as much as ’t Hooft’s Rξ-gauge of spontaneously broken gauge theories, provide a mass for the Stueckelberg field. Moreover, we construct a gauge invariant transverse superfield configuration [V H], consisting of the wellknown superfield V and of a Stueckelberg-like chiral superfield [Ξ]. The renormalizability of the Super Yang-Mills action in the Landau gauge is analyzed in the presence of a gauge invariant mass term [m2 […] dV M(V H)], with [M(V H)] a power series in [V H]. Unlike the original Stueckelberg action, the resulting action turns out to be renormalizable to all orders.