Sphalerons, instantons, and standing waves on $S^3 \otimes R$

Details Sphalerons, instantons, and standing waves on $S^3 \otimes R$ Sphalerons, instantons, and standing waves on $S^3 \otimes R$

1995-04-24

arxiv.org/abs/hep-th/9504117v4

Nucl.Phys.B459:263-282,1996

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 16 pages, 2 figures in a separate uuencoded file. Minor Stylistic revisions

Scientific paper

10.1016/0550-3213(95)00580-3

We consider pure $SU(2)$ Yang-Mills theory when the space is compactified to a 3-dimensional sphere with finite radius. The Euclidean classical self-dual solutions of the equations of motion (the instantons) and the static finite energy solutions (the sphalerons) which have been found earlier are rewritten in handy physical variables with the gauge condition $A_0 = 0$. Stationary solutions to the equations of motion in the Minkowski space-time (the standing waves) are discussed. We briefly discuss also the theory defined in a flat finite spherical box with rigid boundary conditions and present the numerical solution describing the sphaleron.

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