FIELD CORRECTIONS TO INDUCED STATISTICS-Reference-Cited by-同舟云学术

FIELD CORRECTIONS TO INDUCED STATISTICS

Published:1989-01 Issue:01 Volume:04 Page:21-31
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

GOLDHABER ALFRED S.¹,MACKENZIE R.²,WILCZEK FRANK³

Affiliation:

1. Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, NY 11794-3840, USA

2. Department of Physics, Ohio State University, Columbus, OH 43210, USA

3. Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA

Abstract

The contribution of explicit field terms appearing in the Lagrangian (Chern-Simons terms and θ-terms) to the calculation of particle statistics is analyzed. The Chern-Simons term halves the contribution of current-field coupling terms in 2 + 1 dimensions. The effect of the θ-term in 3 + 1 dimensions is contrasted. In both cases, observational differences between fundamental and induced charges arise. The factor 1/2 is necessary to reconcile Paranjape's result on the angular momentum (L = 1/4) of a vortex in minimal massive QED with the general spin-statistics connection. Issues related to the (non)screening of the statistical interaction, ultraviolet sensitivity of induced statistics, and duality in the quantized Hall effect are mentioned. It is shown in passing that quite harmless-looking field theories generically contain particles with exotic statistics.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732389000046

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