Eta-invariants and fermion number in finite volume

Richard J. Szabo; Gordon W. Semenoff

doi:10.1016/0370-2693(92)90438-A

Eta-invariants and fermion number in finite volume

Richard J. Szabo^*, Gordon W. Semenoff

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss a subtlety which arises in the definition of the fermion number of a soliton in a finite volume fermion-soliton system. We show that the total charge of the system is either integral or half-integral, and we derive an expression for the charge which is localized on the soliton itself. The latter can be fractional and we examine its quantum fluctuations.

Original language	English
Pages (from-to)	317-324
Number of pages	8
Journal	Physics Letters B
Volume	284
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(92)90438-A
Publication status	Published - 25 Jun 1992

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(92)90438-A

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title = "Eta-invariants and fermion number in finite volume",

abstract = "We discuss a subtlety which arises in the definition of the fermion number of a soliton in a finite volume fermion-soliton system. We show that the total charge of the system is either integral or half-integral, and we derive an expression for the charge which is localized on the soliton itself. The latter can be fractional and we examine its quantum fluctuations.",

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AU - Semenoff, Gordon W.

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N2 - We discuss a subtlety which arises in the definition of the fermion number of a soliton in a finite volume fermion-soliton system. We show that the total charge of the system is either integral or half-integral, and we derive an expression for the charge which is localized on the soliton itself. The latter can be fractional and we examine its quantum fluctuations.

AB - We discuss a subtlety which arises in the definition of the fermion number of a soliton in a finite volume fermion-soliton system. We show that the total charge of the system is either integral or half-integral, and we derive an expression for the charge which is localized on the soliton itself. The latter can be fractional and we examine its quantum fluctuations.

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DO - 10.1016/0370-2693(92)90438-A

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SP - 317

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JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

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Eta-invariants and fermion number in finite volume

Abstract

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