Phys. Rev. Lett. 47, 986–989 (1981)

Fractional Quantum Numbers on Solitons

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Jeffrey Goldstone^*
Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

Frank Wilczek
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

Received 9 July 1981; published in the issue dated 5 October 1981

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.47.986

DOI:

10.1103/PhysRevLett.47.986

PACS:

11.10.Lm, 11.10.Np

^*Permanent address: Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Mass. 02139

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Phys. Rev. Lett. 47, 986–989 (1981)

Fractional Quantum Numbers on Solitons

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