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Decomposition of meron configuration of SU(2) gauge field

M. Hirayama·J. Yamashita
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Abstract

For the meron configuration of the SU(2) gauge field in the four dimensional Minkowskii spacetime, the decomposition into an isovector field $\bn$, isoscalar fields $ρ$ and $σ$, and a U(1) gauge field $C_μ$ is attained by solving the consistency condition for $\bn$. The resulting $\bn$ turns out to possess two singular points, behave like a monopole-antimonopole pair and reduce to the conventional hedgehog in a special case. The $C_μ$ field also possesses singular points, while $ρ$ and $σ$ are regular everywhere.

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M. Hirayama, J. Yamashita. 2004-02-24. Decomposition of meron configuration of SU(2) gauge field. https://doi.org/10.1103/physrevd.69.125003

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