Abstract
AbstractIn the framework of an electromagnetic field coupled nonminimally with a scalar field in flat spacetime, the existence of a non‐singular electric field is proved for a point electric charge or electric monopole. In analogy with the Maxwell‐dilaton system introduced by Gibbons and Wells, first, a Maxwell‐anti‐dilaton system is constructed where the radial electric field of a static electric monopole is coupled to an anti‐dilaton. The field equations are solved analytically for the electric and dilaton fields and observe the nonsingular electric field. Also, the self‐energy of the electric monopole is found to be finite. Furthermore, the formalism to a Maxwell‐scalar field is generalized where a mechanism is introduced upon which the coupled regular‐electric field and scalar field is obtained. The formalism shows that for a given regular electric field there are two supersymmetric coupling functions corresponding to a scalar and a phantom field.
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