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Title: Non-renormalization theorem in Chern-Simons theories and fractional quantum Hall effect

Abstract

In this paper, the authors prove the non-renormalization theorem resulting in the exact cancellation of Chern-Simons term (and superconductivity) in systems of both free and interacting anyons with the statistical parameter 1/N. The theorem is used to prove the quantization of transverse conductance in the proposed second-quantized fermionic description of fractional quantum Hall effect.

Authors:
 [1]
  1. (Inst. for Nuclear Research, Academy of Sciences of the USSR, Moscow (SU))
Publication Date:
OSTI Identifier:
5508525
Alternate Identifier(s):
OSTI ID: 5508525
Resource Type:
Journal Article
Journal Name:
Modern Physics Letters A; (United States)
Additional Journal Information:
Journal Volume: 7:7; Journal ID: ISSN 0217-7323
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANYONS; INTERACTIONS; FIELD THEORIES; RENORMALIZATION; NONLINEAR PROBLEMS; ELECTRIC CONDUCTIVITY; FERMIONS; HALL EFFECT; QUANTIZATION; SECOND QUANTIZATION; STATISTICAL MECHANICS; SUPERCONDUCTIVITY; ELECTRICAL PROPERTIES; MECHANICS; PHYSICAL PROPERTIES; QUASI PARTICLES 662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-); 665410 -- Superconductivity-- (1992-)

Citation Formats

Ovchinnikov, A.A. Non-renormalization theorem in Chern-Simons theories and fractional quantum Hall effect. United States: N. p., 1992. Web. doi:10.1142/S0217732392000586.
Ovchinnikov, A.A. Non-renormalization theorem in Chern-Simons theories and fractional quantum Hall effect. United States. doi:10.1142/S0217732392000586.
Ovchinnikov, A.A. Sat . "Non-renormalization theorem in Chern-Simons theories and fractional quantum Hall effect". United States. doi:10.1142/S0217732392000586.
@article{osti_5508525,
title = {Non-renormalization theorem in Chern-Simons theories and fractional quantum Hall effect},
author = {Ovchinnikov, A.A.},
abstractNote = {In this paper, the authors prove the non-renormalization theorem resulting in the exact cancellation of Chern-Simons term (and superconductivity) in systems of both free and interacting anyons with the statistical parameter 1/N. The theorem is used to prove the quantization of transverse conductance in the proposed second-quantized fermionic description of fractional quantum Hall effect.},
doi = {10.1142/S0217732392000586},
journal = {Modern Physics Letters A; (United States)},
issn = {0217-7323},
number = ,
volume = 7:7,
place = {United States},
year = {1992},
month = {3}
}