Campo quântico de Dirac localizado tipo-string

Abstract

As is well known, quantum fields studied in TQC satisfy the second principle of locality of space-time points. To them, refer to fields that have location-point type or that are located punctate. In this dissertation, will be the construction of free quantum fields Dirac, with location-type "string". In contrast to the usual fields, living in space-time point, they live in semi-straight line beginning at a certain point in Minkowski space and extends to infinity in a certain space-like direction. This location is permitted by the principles of relativistic quantum physics, since the fields admit the construction of local observables. The interest in location-string type is due to the fact that a location is less strong, which implies a less singular behavior at high energies, described by quantum fields with point-type location. With this present an improved UV behavior. With this location less strong, we can then create more models interacting. Free fields with location-string type have been obtained for several particles [1, 2], from which they can make interacting models. To build models from the field interacting free, one must make an analysis of the function of two points corresponding free field. This analysis, however, will not be done in this work, since it is not the objective of the study. In this work we construct a quantum field-free Dirac-string type with location, which was verified in the Dirac equation and the ratio of covariance. We defined its current density and found that it is conserved. Finally, we defined the function of two points for location-string type, which can be verified the location of the string-type field.