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CP^1-Fermion Correspondence in Three Dimensions

Deser, S. and Redlich, A. N. (1988) CP^1-Fermion Correspondence in Three Dimensions. Physical Review Letters, 61 (14). pp. 1541-1544. ISSN 0031-9007. doi:10.1103/PhysRevLett.61.1541.

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We show that in three dimensions the effective electromagnetic actions of the CP^1 model and of a charged fermion coincide in the vacuum and one-soliton sectors, to lowest order in inverse mass. This implies equivalence between the fermion and CP^1 current operators. In the vacuum sector, the first-order fermion-current-current self-interaction correction, required for equivalence at next-to-leading order, is also obtained. In the soliton phase, the two next to leading order terms appear with coefficients differing by simple numerical factors.

Item Type:Article
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Deser, S.0000-0001-9285-9434
Additional Information:© 1988 American Physical Society. Received 27 July 1988. We thank M. Bowick, A. Das, T. Jacobson, D. Karabali, B. Marston, A. Schwimmer, and G. Semenoff for stimulating conversations. One of us (S.D.) thanks the Institute for Advanced Study for hospitality. This work was supported by National Science Foundation Grant No. 88-04561 and by the U.S. Department of Energy under Contract No. DE-AC02-76ER02220.
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC02-76ER02220
Issue or Number:14
Classification Code:PACS numbers: 11.10.Lm, 11.30.Er, 75.10.Jm
Record Number:CaltechAUTHORS:20180416-153920266
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85884
Deposited By: Tony Diaz
Deposited On:16 Apr 2018 22:56
Last Modified:15 Nov 2021 20:33

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