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 https://doi.org/10.1007/JHEP02(2016)117.

## 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.

Item Type: | Article |
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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 |

URI: | http://eprints.um.edu.my/id/eprint/18369 |

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