Non-abelian monopole solutions in arbitrary gauge
S.E. Korenblit, E.A. Voronova
TL;DR
This paper explores non-abelian monopole solutions in the Georgi-Glashow model using general gauge parametrizations, revealing new exact solutions for complex monopoles and dyons with finite or zero energy densities.
Contribution
It introduces a gauge-invariant framework for analyzing monopoles and dyons, providing new exact analytical solutions without gauge fixing.
Findings
New exact solutions for complex non-abelian monopoles and dyons
Connection established between different gauge parametrizations and known equations
Solutions exhibit finite or zero energy densities
Abstract
The Georgi-Glashow model equations of motion are examined by general static spherically symmetric real and complex parametrizations of gauge fields in arbitrary gauge. Their connection with the known `t Hooft-Polyakov and Julia-Zee equations is shown without any gauge-fixing, elucidating so the gauge invariant meaning of corresponding functions. The obtained systems of equations have a new exact analytical solutions for complex non-abelian monopole and dyon fields with real finite or zero energy densities.
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Taxonomy
TopicsPulsars and Gravitational Waves Research · Cosmology and Gravitation Theories · Quantum Chromodynamics and Particle Interactions