More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method

Atmaja, A.N. and Ramadhan, H.S. and da Hora, E. (2016) More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method. Journal of High Energy Physics, 2016 (2). p. 117. ISSN 1126-6708, DOI

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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.

Item Type: Article
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)
Uncontrolled Keywords: Solitons Monopoles and Instantons; Field Theories in Lower Dimensions
Subjects: Q Science > Q Science (General)
Q Science > QC Physics
Divisions: Faculty of Science > Department of Physics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 22 Nov 2017 05:34
Last Modified: 22 Jun 2020 03:15

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