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Phys. Rev. D 16, 3047–3059 (1977)

Form-factor interpretation of kink solutions to the nonlinear σ model

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M. J. Duff
Physics Department, Queen Mary College, Mile End Road, London E.1, England

C. J. Isham
Physics Department, Imperial College, Prince Consort Road, London S.W.7, England

Received 28 February 1977; published in the issue dated 15 November 1977

Kink solutions to the SU(2) nonlinear σ model in one time and two space dimensions are interpreted as matrix elements of the meson fields between states of a new, heavy, particle. These new particles are stable and carry a topologically conserved charge N (N=integer) which is odd under both charge conjugation and time reversal. To lowest order in a weak-coupling expansion their mass is proportional to |N|. Moreover, consistency of the form-factor interpretation is achieved by assigning to the particles an angular momentum L and electric charge Q obeying L=±NQ. More general solutions, apparently describing multiparticle states, are also discussed.

© 1977 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.16.3047
DOI:
10.1103/PhysRevD.16.3047
PACS: