Differential and Integral Equations

Existence of solutions for the 't Hooft-Polyakov-Julia-Zee monopole

J. B. McLeod and C. B. Wang

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Abstract

Model equations for magnetic monopoles have been obtained independently by 't Hooft, Polyakov, and Julia and Zee. This paper analyzes these equations (three simultaneous ordinary differential equations), shows that the corresponding boundary-value problems possesses a solution and discusses its qualitative properties.

Article information

Source
Differential Integral Equations, Volume 14, Number 12 (2001), 1409-1420.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123003

Mathematical Reviews number (MathSciNet)
MR1859353

Zentralblatt MATH identifier
1020.34018

Subjects
Primary: 34B60: Applications
Secondary: 34B15: Nonlinear boundary value problems 81T13: Yang-Mills and other gauge theories [See also 53C07, 58E15]

Citation

McLeod, J. B.; Wang, C. B. Existence of solutions for the 't Hooft-Polyakov-Julia-Zee monopole. Differential Integral Equations 14 (2001), no. 12, 1409--1420. https://projecteuclid.org/euclid.die/1356123003


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