On the Chern-Simons Gauge Theory of Anyons in the Fractional Quantum Hall Effect
| dc.creator | Ito, Hitoshi | |
| dc.date | 2002-01-09 | |
| dc.date.accessioned | 2026-07-07T04:12:57Z | |
| dc.date.available | 2026-07-07T04:12:57Z | |
| dc.description | This short note was born out of discussions on anyons in the FQHE at the YITP workshop "Fundamental problems of quantum field theories" (December 19-21, 2001, YITP, Kyoto). At that time, I felt that there might not be a sound consensus of opinion on the subject. Now, I would like to show my understanding here, the essential part of which is based on hep-th/0110197. The first problem discussed is a notion of ``bosonized electrons (bosonization)", which are unphysical objects from the standpoint of the Chern-Simons gauge invariance. Therefore, their condensate is merely of mathematical concept and the true physical state realized is a liquid-like one made of degeneration of anyons. Based on this recognition, I argue about a mechanism of the degeneration that results from the genuine CS gauge field theory. It is noted that the Ginzburg-Landau effective theory is not necessary. As the last problem, the gauge invariance in the "composite-fermion theories" is discussed. | |
| dc.description | This is a supplementary comment on hep-th/0110197 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0201053 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0201053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51086 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the Chern-Simons Gauge Theory of Anyons in the Fractional Quantum Hall Effect | |
| dc.type | text |