Monopoles and Knots in Skyrme Theory

Details Monopoles and Knots in Skyrme Theory Monopoles and Knots in Skyrme Theory

2001-09-20

arxiv.org/abs/nucl-th/0109060v2

Phys.Rev.Lett.87:252001,2001

Physics

Nuclear Physics

Nuclear Theory

4 pages. Phys. Rev. Lett. in press

Scientific paper

10.1103/PhysRevLett.87.252001

We show that the Skyrme theory actually is a theory of monopoles which allows a new type of solitons, the topological knots made of monopole-anti-monopole pair,which is different from the well-known skyrmions. Furthermore, we derive a generalized Skyrme action from the Yang-Mills action of QCD, which we propose to be an effective action of QCD in the infra-red limit. We discuss the physical implications of our results.

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