Showing papers by "Alan H. Guth published in 1977"
TL;DR: In this paper, the number of parameters entering a Euclidean Yang-Mills solution with topological charge is determined for a theory constructed from an arbitrary Lie group, and it is shown that this number is precisely that required to specify the position, scale, and relative group orientation of independent solutions with minimum topological charges.
Abstract: The number of parameters entering a Euclidean Yang-Mills solution with topological charge $k$ is determined for a theory constructed from an arbitrary Lie group $G$. It is shown that this number is precisely that required to specify the position, scale, and relative group orientation of $k$ independent solutions each with minimum topological charge 1. Such minimal single-pseudoparticle solutions can be obtained by embedding the familiar ${\mathrm{SU}}_{2}$ pseudoparticle of Belavin et al. into the general Lie group.
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