# 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:

- (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}

}

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