Elliptically oscillating solutions in Abelian–Higgs model and electromagnetic property

Author:

Kitadono Yoshio1ORCID,Inagaki Tomohiro23

Affiliation:

1. Liberal Education Center, National Chin-Yi University of Technology, No. 57, Sec. 2, Zhongshang Rd., Taiping District, Taichung 41170, Taiwan

2. Information Media Center and Core of Research for the Energetic Universe, Hiroshima University, No. 1-3-2, Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8521, Japan

3. International Laboratory of Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia

Abstract

The elliptically oscillating solutions in the Abelian–Higgs model are presented and the classical massive-dispersion-relation through the nonlinear dynamics is discussed. The generated massive-dispersion-relation including a field value of the scalar field is derived as the consequence of the equation of motions. We discuss the property of the new solutions and its Hamiltonian density. In addition, we calculate the electromagnetic property of the system, in particular, we derive the relation between the field value and the electric field and the electric current density.

Funder

Ministry of Science and Technology, Taiwan

Publisher

World Scientific Pub Co Pte Ltd

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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