Non-Trivial SU(N) Instantons and Exotic Skyrmions

Details Non-Trivial SU(N) Instantons and Exotic Skyrmions Non-Trivial SU(N) Instantons and Exotic Skyrmions

1993-08-20

arxiv.org/abs/hep-ph/9308306v1

Phys.Lett. B317 (1993) 590-595

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 LaTex pages (1 figure available on request), UNITUE-THEP-10-1993

Scientific paper

10.1016/0370-2693(93)91377-Y

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 $n=N(N^{2}-1)/6$. 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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