More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method
Document Type
Article
Publication Date
1-1-2016
Abstract
We use a recent on-shell method, developed in [1], to construct Bogomol’nyi equations of the three-dimensional generalized Maxwell-Higgs model [2]. The resulting Bogomol’nyi equations are parametrized by a constant C0 and they can be classified into two types determined by the value of C0 = 0 and C0 ≠ 0. We identify that the Bogomol’nyi equations obtained by Bazeia et al. [2] are of the (C0 = 0)-type Bogomol’nyi equations. We show that the Bogomol’nyi equations of this type do not admit the Prasad-Sommerfield limit in its spectrum. As a resolution, the vacuum energy must be lifted up by adding some constant to the potential. Some possible solutions whose energy equal to the vacuum are discussed briefly. The on-shell method also reveals a new (C0 ≠ 0)-type Bogomol’nyi equations. This non-zero C0 is related to a non-trivial function fC0 defined as a difference between energy density of the scalar potential term and of the gauge kinetic term. It turns out that these Bogomol’nyi equations correspond to vortices with locally non-zero pressures, while their average pressure P remain zero globally by the finite energy constraint.
Keywords
Solitons Monopoles and Instantons, Field Theories in Lower Dimensions
Publication Title
Journal of High Energy Physics
Divisions
PHYSICS
Funders
University of Malaya: University of Malaya Research Grant (UMRG) Programme RP006C-13AFR and RP012D-13AFR,University of Indonesia: Research Cluster Grant on “Non-perturbative phenomena in nuclear astrophysics and cosmology” No 1862/UN.R12/HKP.05.00/2015,CAPES, CNPq and FAPEMA (Brazilian agencies)
Volume
2016
Issue
2
Publisher
Springer Verlag