Extensão supersimétrica do calibre abeliano maximal

Abstract

With the advent of the Yang-Mills theories, originally formulated during the 1950s, new lines of research related to the universe of weak, strong, and electromagnetic interactions mediated through gauge vector bosons have been extensively developed over the years. However, the quantization process of such theories reveals the necessity of introduce some elements and special conditions in the starting action, in order to take care of the presence of divergences in the perturbative expansion. One of these conditions, also known as a gauge fixing condition, requires that the gauge field must obey a certain restriction, in order to filter only one configuration from all equivalent configurations. Later, with the birth of supersymmetry as the best approach to a physics beyond the standard model, the supersymmetric version of the Yang-Mills theories emerges. Such version suffers from the same problems of the non-supersymmetric case, and therefore, it is necessary to introduce a gauge condition for superfields as well. In this work, we will develop a supersymmetric formulation of a very specific gauge known as the maximal Abelian gauge. Furthermore, we will show the algebraic proof of the renormalization of a super Yang-Mills theory in this gauge.