Decomposition of meron configuration of SU(2) gauge field

Details Decomposition of meron configuration of SU(2) gauge field Decomposition of meron configuration of SU(2) gauge field

2003-12-05

arxiv.org/abs/hep-th/0312057v2

Phys.Rev. D69 (2004) 125003

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 5 figures, Sec.4 rewritten. 5 refs. added

Scientific paper

10.1103/PhysRevD.69.125003

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 $\rho$ and $\sigma$, and a U(1) gauge field $C_{\mu}$ 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 $C_{\mu}$ field also possesses singular points, while $\rho$ and $\sigma$ are regular everywhere.

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