Electrically charged localized structures

This 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 ba...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2021, Vol.81 (1), p.1-12, Article 94
Main Authors: Bazeia, D., Marques, M. A., Menezes, R.
Format: Article
Language:English
Subjects:
Analysis
Astronomy
Astrophysics and Cosmology
Differential equations
Elementary Particles
Equations of motion
Exact solutions
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article – Theoretical Physics
Scalars
String Theory
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Summary:This 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 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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-021-08887-2