# BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder

## Abstract

BRST quantization of the one-dimensional constrained matrix model which describes two-dimensional Yang-Mills theory on the cylinder is performed. Classical and quantum BRST generators and BRST-invariant Hamiltonians are constructed. The evolution operator is expressed in terms of the BRST path integral. Advantages of the BRST quantization over the reduced phase space approach leading to the theory of N free fermions are discussed.

- Authors:

- Belarusian State University, Nezalezhnasti avenue 4, Minsk 220080 (Belarus)

- Publication Date:

- OSTI Identifier:
- 21020197

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.065018; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; FIELD OPERATORS; HAMILTONIANS; MATRICES; ONE-DIMENSIONAL CALCULATIONS; PATH INTEGRALS; PHASE SPACE; QUANTIZATION; QUANTUM FIELD THEORY; TWO-DIMENSIONAL CALCULATIONS; YANG-MILLS THEORY

### Citation Formats

```
Buividovich, P. V.
```*BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.065018.

```
Buividovich, P. V.
```*BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder*. United States. doi:10.1103/PHYSREVD.75.065018.

```
Buividovich, P. V. Thu .
"BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder". United States.
doi:10.1103/PHYSREVD.75.065018.
```

```
@article{osti_21020197,
```

title = {BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder},

author = {Buividovich, P. V.},

abstractNote = {BRST quantization of the one-dimensional constrained matrix model which describes two-dimensional Yang-Mills theory on the cylinder is performed. Classical and quantum BRST generators and BRST-invariant Hamiltonians are constructed. The evolution operator is expressed in terms of the BRST path integral. Advantages of the BRST quantization over the reduced phase space approach leading to the theory of N free fermions are discussed.},

doi = {10.1103/PHYSREVD.75.065018},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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