Fractional Quantum Numbers on Solitons
Author(s) -
Jeffrey Goldstone,
Frank Wilczek
Publication year - 1981
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.47.986
Subject(s) - physics , coupling constant , quantum mechanics , quantum , dimension (graph theory) , quantum field theory , beta function (physics) , constant (computer programming) , function (biology) , field (mathematics) , mathematical physics , theoretical physics , thermal quantum field theory , mathematics , quantum gravity , pure mathematics , computer science , evolutionary biology , biology , programming language
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.
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