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arXiv · hep-th/9910130

A Self-Dual Model for the SU(2) Gauge Theory

Gh. Zet·M. C. Neacsu
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Abstract

A model of SU(2) gauge theory in the space-time $R\times S^3$ is constructed in terms of local gauge-invariant variables. A metric tensor $g_{μν}$ is defined starting with the components of the strength tensor $F_{μν}^k$ and of its dual $\widetilde{F}_{μν}^k$. It is shown that the components $g_{μν}$ determine the gauge field equations if some supplementary constraints are imposed. Two families of analitical solutions of the field equations are also obtained.

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Gh. Zet, M. C. Neacsu. 1999-10-17. A Self-Dual Model for the SU(2) Gauge Theory. https://doi.org/10.1007/bf03035919

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