Volume 126, Number 6, June 2019
|Number of page(s)||4|
|Section||The Physics of Elementary Particles and Fields|
|Published online||18 July 2019|
Multi-component scalar fields and the complete factorization of its equations of motion
Departamento de Física Universidade Federal da Paraíba - 58051-900 João Pessoa PB, Brazil
Received: 1 March 2019
Accepted: 18 June 2019
In the paper by Bazeia D. et al., EPL, 119 (2017) 61002, the authors demonstrate the equivalence between the second-order differential equation of motion and a family of first-order differential equations of Bogomolnyi type for the cases of single real and complex scalar field theories with non-canonical dynamics. The goal of this paper is to demonstrate that this equivalence is also valid for a more general classes of real scalar field models. We start the paper by demonstrating the equivalence in a single real scalar model. The first goal is to generalize the equivalence presented in papers by Bazeia et al. to a single real scalar field model without a specific form for its Lagrangian. The second goal is to use the setup presented in the first demonstration to show that this equivalence can be achieved also in a real multi-component scalar field model again without a specific form for its Lagrangian. The main goal of this paper is to show that this equivalence can be achieved in real scalar field scenarios that can be standard, or non-standard, with single, or multi-component, scalar fields.
PACS: 11.27.+d – Extended classical solutions; cosmic strings, domain walls, texture / 11.10.Lm – Nonlinear or nonlocal theories and models / 03.50.Kk – Other special classical field theories
© EPLA, 2019
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