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

## Abstract

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 |
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Additional Information: | Copyright of this article belongs to Elsevier Science. |

Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Theoretical Studies |

Date Deposited: | 04 Feb 2010 05:28 |

Last Modified: | 04 Feb 2010 05:28 |

URI: | http://eprints.iisc.ernet.in/id/eprint/20795 |

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