Generalized Jacobi elliptic one-monopole: Type A
Generalized Jacobi elliptic one-monopole: Type A
We present a new classical generalized one-monopole solution of the SU(2) Yang–Mills–Higgs theory with the Higgs field in the adjoint representation. We show that this generalized solution with θ-winding number m = 1 and ϕ-winding number n = 1 is an axially symmetric Jacobi elliptic generalization of the 't Hooft–Polyakov one-monopole. We construct this axially symmetric one-monopole solution by generalizing the large distance asymptotic solution of the 't Hooft–Polyakov one-monopole to the Jacobi elliptic functions and solving the second-order equations of motion numerically when the Higgs potential is vanishing and nonvanishing. These solutions are regular non-BPS finite energy solutions.
Monopoles, axial symmetry, Jacobi elliptic function
5731-5746
Teh, Rosy
f60ba267-5c55-413b-81be-1762fb09c097
Wong, Khai-Ming
6c8ce6e0-2e4a-4b6e-a7e5-5850e8c29fec
Lim, Kok-Geng
927dad30-b19f-4376-8650-cdb1cbdd29b1
20 December 2010
Teh, Rosy
f60ba267-5c55-413b-81be-1762fb09c097
Wong, Khai-Ming
6c8ce6e0-2e4a-4b6e-a7e5-5850e8c29fec
Lim, Kok-Geng
927dad30-b19f-4376-8650-cdb1cbdd29b1
Teh, Rosy, Wong, Khai-Ming and Lim, Kok-Geng
(2010)
Generalized Jacobi elliptic one-monopole: Type A.
International Journal of Modern Physics A, 25 (31), .
(doi:10.1142/S0217751X10051062).
Abstract
We present a new classical generalized one-monopole solution of the SU(2) Yang–Mills–Higgs theory with the Higgs field in the adjoint representation. We show that this generalized solution with θ-winding number m = 1 and ϕ-winding number n = 1 is an axially symmetric Jacobi elliptic generalization of the 't Hooft–Polyakov one-monopole. We construct this axially symmetric one-monopole solution by generalizing the large distance asymptotic solution of the 't Hooft–Polyakov one-monopole to the Jacobi elliptic functions and solving the second-order equations of motion numerically when the Higgs potential is vanishing and nonvanishing. These solutions are regular non-BPS finite energy solutions.
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Published date: 20 December 2010
Keywords:
Monopoles, axial symmetry, Jacobi elliptic function
Identifiers
Local EPrints ID: 422857
URI: http://eprints.soton.ac.uk/id/eprint/422857
ISSN: 0217-751X
PURE UUID: 6d4038ed-2299-4fe8-8cb8-afc0cde3b413
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Date deposited: 07 Aug 2018 16:30
Last modified: 15 Mar 2024 21:09
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Author:
Rosy Teh
Author:
Khai-Ming Wong
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