TY - JOUR
T1 - Bogomol'nyi equations of classical solutions
AU - Atmaja, Ardian N.
AU - Ramadhan, Handhika Satrio
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/11/10
Y1 - 2014/11/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84911915015&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.90.105009
DO - 10.1103/PhysRevD.90.105009
M3 - Article
AN - SCOPUS:84911915015
SN - 1550-7998
VL - 90
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 10
M1 - 105009
ER -