The ′T Hooft-Polyakov monopole near the Prasad-Sommerfield limit

Carl L. Gardner

doi:10.1016/0003-4916(83)90054-4

The ′T Hooft-Polyakov monopole near the Prasad-Sommerfield limit

Carl L. Gardner

Research output: Contribution to journal › Article › peer-review

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Abstract

A perturbative classical monopole solution for the SO(3) gauge theory is constructed in the limit of small but non-vanishing Higgs potential. This corresponds to the limit μ² 2M_W² = λ ≪ 1, where μ equals the mass of the scalar particle and M_W equals the mass of the intermediate vector particles. The monopole solution and mass are found to involve non-analytic functions of λ: γ and λ ln λ. The monopole mass M_m is calculated to order μ² M_W as M_m= 4π e²M_w1+ 1 2 μ M_w+ 1 2 μ² M²_wln μ M_w+0.7071 μ² M²_w.

Original language	English (US)
Pages (from-to)	129-148
Number of pages	20
Journal	Annals of Physics
Volume	146
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(83)90054-4
State	Published - Mar 1983
Externally published	Yes

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Physics and Astronomy(all)

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title = "The ′T Hooft-Polyakov monopole near the Prasad-Sommerfield limit",

abstract = "A perturbative classical monopole solution for the SO(3) gauge theory is constructed in the limit of small but non-vanishing Higgs potential. This corresponds to the limit μ2 2MW2 = λ ≪ 1, where μ equals the mass of the scalar particle and MW equals the mass of the intermediate vector particles. The monopole solution and mass are found to involve non-analytic functions of λ: γ and λ ln λ. The monopole mass Mm is calculated to order μ2 MW as Mm= 4π e2Mw1+ 1 2 μ Mw+ 1 2 μ2 M2wln μ Mw+0.7071 μ2 M2w.",

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AU - Gardner, Carl L.

PY - 1983/3

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N2 - A perturbative classical monopole solution for the SO(3) gauge theory is constructed in the limit of small but non-vanishing Higgs potential. This corresponds to the limit μ2 2MW2 = λ ≪ 1, where μ equals the mass of the scalar particle and MW equals the mass of the intermediate vector particles. The monopole solution and mass are found to involve non-analytic functions of λ: γ and λ ln λ. The monopole mass Mm is calculated to order μ2 MW as Mm= 4π e2Mw1+ 1 2 μ Mw+ 1 2 μ2 M2wln μ Mw+0.7071 μ2 M2w.

AB - A perturbative classical monopole solution for the SO(3) gauge theory is constructed in the limit of small but non-vanishing Higgs potential. This corresponds to the limit μ2 2MW2 = λ ≪ 1, where μ equals the mass of the scalar particle and MW equals the mass of the intermediate vector particles. The monopole solution and mass are found to involve non-analytic functions of λ: γ and λ ln λ. The monopole mass Mm is calculated to order μ2 MW as Mm= 4π e2Mw1+ 1 2 μ Mw+ 1 2 μ2 M2wln μ Mw+0.7071 μ2 M2w.

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IS - 1

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The ′T Hooft-Polyakov monopole near the Prasad-Sommerfield limit

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