Electrically charged localized structures

D. Bazeia, M. A. Marques, R. Menezes
2021 European Physical Journal C: Particles and Fields  
AbstractThis work deals with an Abelian gauge field in the presence of an electric charge immersed in a medium controlled by neutral scalar fields, which interact with the gauge field through a generalized dielectric function. We develop an interesting procedure to solve the equations of motion, which is based on the minimization of the energy, leading us to a first order framework where minimum energy solutions of first order differential equations solve the equations of motion. We investigate
more » ... ion. We investigate two distinct models in two and three spatial dimensions and illustrate the general results with some examples of current interest, implementing a simple way to solve the problem with analytical solutions that engender internal structure.
doi:10.1140/epjc/s10052-021-08887-2 fatcat:k6tdqvh5yrflhpis6wghzhuf6e