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

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

1999-10-17

arxiv.org/abs/hep-th/9910130v1

Nuovo Cim. A112 (1999) 1161-1166

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1007/BF03035919

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 $g_{\mu \nu}$ is defined starting with the components of the strength tensor $F_{\mu \nu}^k$ and of its dual $\widetilde{F}_{\mu \nu}^k$. It is shown that the components $g_{\mu \nu}$ 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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