Abstract

The classical Yang-Mills equations are solved for arbitrary semi-simple gauge groups in the Schwinger-Fock gauge. A new class of SU( N) instantons is presented which are not embeddings of SU( N − 1) instantons but have non-trivial SU( N) color structure and carry winding number n = 1 6 [N(N 2 − 1)] . Explicit configurations are given for SU(3) and SU(4) gauge groups. By means of the Atiyah-Manton procedure Skyrmion fields are constructed from the SU( N) instantons. These Skyrmions represent exotic baryon states.

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