BPS Equations of Monopole and Dyon in SU(2) Yang-Mills-Higgs Model, Nakamula-Shiraishi Models, and Their Generalized Versions from the BPS Lagrangian Method. (10th December 2018)

• Record Type: Journal Article
• Authors: Atmaja, Ardian Nata; Prasetyo, Ilham
• Other Names: Saez-Chillon Gomez Diego Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2018(2018)
• Publication Date: 2018-12-10
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2018/7376534
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : We apply the BPS Lagrangian method to derive BPS equations of monopole and dyon in the S U 2 Yang-Mills-Higgs model, Nakamula-Shiraishi models, and their generalized versions. We argue that, by identifying the effective fields of scalar field, f, and of time-component gauge field, j, explicitly by j = β f with β being a real constant, the usual BPS equations for dyon can be obtained naturally. We validate this identification by showing that both Euler-Lagrange equations for f and j are identical in the BPS limit. The value of β is bounded to β < 1 due to reality condition on the resulting BPS equations. In the Born-Infeld type of actions, namely, Nakamula-Shiraishi models and their generalized versions, we find a new feature that, by adding infinitesimally the energy density up to a constant 4 b 2, with b being the Born-Infeld parameter, it might turn monopole (dyon) to antimonopole (antidyon) and vice versa. In all generalized versions there are additional constraint equations that relate the scalar-dependent couplings of scalar and of gauge kinetic terms or G and w, respectively. For monopole the constraint equation is G = w - 1, while for dyon it is w G - β 2 w = 1 - β 2 which further gives lower bound to G as such G ≥ 2 β 1 - β 2 . We also write down the complete square-forms of all effective Lagrangians.