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Fractional Quantum Numbers on Solitons

1981; American Physical Society; Volume: 47; Issue: 14 Linguagem: Inglês

10.1103/physrevlett.47.986

1092-0145

Jeffrey Goldstone, Frank Wilczek,

Algebraic structures and combinatorial models

A method is proposed to calculate quantum numbers on solitons in quantum field theory. The method is checked on previously known examples and, in a special model, by other methods. It is found, for example, that the fermion number on kinks in one dimension or on magnetic monopoles in three dimensions is, in general, a transcendental function of the coupling constant of the theories.