On Bogomol'nyi Equations of Classical Solutions
arXiv:1406.6180 · doi:10.1103/PhysRevD.90.105009
Abstract
We review the Bogomol'nyi equations and investigate an alternative route in obtaining it. It can be shown that the known BPS equations can be derived directly from the corresponding Euler-Lagrange equations via separation of variables, without having to appeal to the Hamiltonian. We apply this technique to the Dirac-Born-Infeld solitons and obtained the corresponding equations and the potentials. This method is suitable for obtaining the first-order equations and determining the allowed potentials for noncanonical defects.
arXiv comment18 pages, no figure
References in corpus (19)
- On non-abelian generalisation of Born-Infeld action in string theory
- Born-Infeld particles and Dirichlet p-branes
- Brane Dynamics From the Born-Infeld Action
- Global topological k-defects
- Generalized Global Defect Solutions
- First-order framework and generalized global defect solutions
- Gauge k-vortices
- Some aspects of self-duality and generalised BPS theories
- Bogomol'nyi Equations for Vortices in Born-Infeld-Higgs Systems
- Exact Schwarzschild-Like Solution for Yang-Mills Theories
- DBI Global Strings
- Monopoles in non-Abelian Dirac-Born-Infeld Theory
- BPS solitons in a Dirac-Born-Infeld action
- Dirac Born Infeld (DBI) Cosmic Strings
- Chiral Born-Infeld Theory: topological spherically symmetrical solitons
- General relativistic analog solutions for Yang-Mills theory
- Higher-dimensional DBI Solitons
- On DBI Textures with Generalized Hopf Fibration
- Bogomolny equations and conformal transformations in curved space
Cited by in corpus (9)
- A Method for BPS Equations of Vortices
- Radially symmetric scalar solitons
- Solitons in curved spacetime
- Some exact BPS solutions for exotic vortices and monopoles
- BPS equations and solutions for Maxwell-scalar theory
- Continuously transforming kinks into compactons in the O(3)-sigma model
- Bogomolny equation for the BPS Skyrme model from the strong necessary conditions
- Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model
- Bogomol'nyi equations for Dirac-Born-Infeld cosmic string