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On states, on a lattice, with half-integral charge

Bell, JS and Rajaraman, R (1983) On states, on a lattice, with half-integral charge. In: Nuclear Physics B, 220 (1). pp. 1-12.

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In certain molecular models, and related one-dimensional field theories, localized objects appear with half-integral expectation values of charge. We consider whether these states are eigenstates of charge, with half-integral eigenvalue. We find that it is indeed so for a suitably diffuse definition of the charge operator in question. This diffuse charge operator has a spectrum which approaches a continuum. The analysis is made on a lattice, to avoid divergence ambiguities, and on a finite length, which is only subsequently made large. The half-integral charge phenomenon is not tied to solitons, but can also arise as an end effect.

Item Type: Journal Article
Publication: Nuclear Physics B
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 04 Feb 2010 05:28
Last Modified: 04 Feb 2010 05:28
URI: http://eprints.iisc.ac.in/id/eprint/20795

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