An Effective action for monopoles and knot solitons in Yang-Mills theory
Mar, 1999Citations per year
Abstract:
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.Note:
- plain Latex, 12 pages, no figures, a few references and comments are added, a final version for Phys. Lett. B
- gauge field theory: SU(2)
- nonperturbative
- knot theory
- soliton
- coset space: SU(2)/U(1)
- lattice field theory
- effective action
- expansion 1/N
- magnetic monopole
- transformation: gauge
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