Scalarly charged particles and interparticle interaction with the Higgs potential
Yu. G. Ignat'ev
TL;DR
This paper derives exact and numerical solutions for scalar fields with Higgs potential generated by point charges, revealing unique properties of scalar interactions and their effects on particle motion.
Contribution
It introduces a method for solving scalar field equations with Higgs potential for point charges and explores their implications for interparticle interactions.
Findings
Exact solutions for scalar fields with Higgs potential
Numerical modeling of scalar fields around point charges
Unique properties of scalar interparticle interactions
Abstract
Asymptotically exact solutions are obtained for a spherically symmetric field with the Higgs potential generated by a point scalar charge, and a method for numerical integration of the equation for a scalar field with the Higgs potential of a point charge is proposed. Examples of numerical modeling of the equation of the scalar field of a single charge are given. With the help of the solution obtained, solutions of the relativistic equations of motion of a scalar charge in an external scalar field of the Higgs type of a singular scalar source are found and some unique properties of the interparticle scalar interaction are revealed.
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