Exact solutions of image-dimensional Yang–Mills equations in curved space–time Original Research Article

In the context of a semiclassical approach where vectorial gauge fields can be considered as classical fields, we obtain exact static solutions of the image Yang–Mills equations in an image-dimensional curved space–time, for the cases image. As an application of the results obtained for the case image, we consider the solutions for the anti-de Sitter and Schwarzschild metrics. We show that these solutions have a confining behavior and can be considered as a first step in the study of the corrections of the spectra of quarkonia in a curved background. Since the solutions that we find in this work are valid also for the group image, the case image is a description of the image electrodynamics in the presence of a point charge. For this case, the solution has a confining behavior and can be considered as an application of the planar electrodynamics in a curved space–time. Finally we find that the solution for the case image is invariant under a parity transformation and has the form of a linear confining solution.