Bogomol'nyi equations of classical solutions

Ardian N. Atmaja, Handhika Satrio Ramadhan

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

We review the Bogomol'nyi equations and investigate an alternative route in obtaining it. It can be shown that the known Bogomol'nyi-Prasad-Sommerfield equations can be derived directly from the corresponding Euler-Lagrange equations via the separation of variables, without having to appeal to the Hamiltonian. We apply this technique to the Dirac-Born-Infeld solitons and obtain the corresponding equations and the potentials. This method is suitable for obtaining the first-order equations and determining the allowed potentials for noncanonical defects.

Original languageEnglish
Article number105009
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume90
Issue number10
DOIs
Publication statusPublished - 10 Nov 2014

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