2019/12/12 by Michael K. Murray, Murray, Michael K., Paul Norbury +1
Mathematics · Physics and Astronomy · #14D21 #53C07 #81T13 #Differential Geometry (math.DG) #FOS: Mathematics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1912.05718
openalex publication_date 2019/12/12 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We review the theory of JNR, mass 1/2 hyperbolic monopoles in particular their spectral curves and rational maps. These are used to establish conditions for a spectral curve to be the spectral curve of a JNR monopole and to show that that rational map of a JNR monopole monopole arises by scattering using results of Atiyah. We show that for JNR monopoles the holomorphic sphere has a remarkably simple form and show that this can be used to give a formula for the energy density at infinity. In conclusion we illustrate some examples of the energy-density at infinity of JNR monopoles.