An effective action for monopoles and knot solitons in Yang-Mills theory

Details An effective action for monopoles and knot solitons in Yang-Mills theory An effective action for monopoles and knot solitons in Yang-Mills theory

1999-03-25

arxiv.org/abs/hep-th/9903223v2

Phys.Lett. B458 (1999) 322-330

Physics

High Energy Physics

High Energy Physics - Theory

plain Latex, 12 pages, no figures, a few references and comments are added, a final version for Phys. Lett. B

Scientific paper

10.1016/S0370-2693(99)00612-7

By comparision with numerical results in the maximal Abelian projection of lattice Yang-Mills theory, it is argued that the nonperturbative dynamics of Yang Mills theory can be described by a set of fields that take their values in the coset space SU(2)/U(1). The Yang-Mills connection is parameterized in a special way to separate the dependence on the coset field. The coset field is then regarded as a collective variable, and a method to obtain its effective action is developed. It is argued that the physical excitations of the effective action may be knot solitons. A procedure to calculate the mass scale of knot solitons is discussed for lattice gauge theories in the maximal Abelian projection. The approach is extended to the SU(N) Yang-Mills theory. A relation between the large N limit and the monopole dominance is pointed out.

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