Efeitos de fluxo geométrico sobre o campo vetorial de calibre em suas dimensões

Abstract

This work aims to provide a contribution to the brane world scenario. In order to accomplish this, we propose two different scenarios that extend models already know in the literature. This issue has been extensively explored in recent years due to the fact that the field is closely related to fundamental questions in particle physics such as the problem of hierarchy, asymmetry matter and antimatter and the cosmological constant problem. Since the relationship between physics and geometry of the multidimensional spacetime has a very strong relationship, it is of fundamental interest to verify the possible influences that this geometry have on the physical properties of our brane. In principle, we do not know how the standard model fields are affected by geometrical changes in the environment space. The field used as the obcjet of study is the vector one, since it is not originally localized in the Randall-Sundrum model described by its usual action. In the first proposal we analyze the vector field behavior in an spacetime build as direct product of 3-brane and a section of the resolved conifold. This scenario is an extension of the brane scenario called string-like and has a remarkable characteristic, the presence of a geometric factor, the resolution parameter, which can be used to regulate singularities at the origin, massives modes and the potential associated with the Kaluza-Klein modes. The second proposal is based on a steady-state solution of the Ricci flow known as Hamilton soliton cigar. This senario, in addition to promoving the smoothing of solutions, fulfils all the conditions of regularity at the origin. Thus representing an internal and external solution to the default string-like type.