# Quantization of gauge theories with linearly dependent generators

## Abstract

The quantization rules for gauge theories with open algebras are generalized to the case of linearly dependent generators. The given zero-eigenvalue eigenvectors of the generators may also be linearly dependent and possess zero-eigenvalue eigenvectors which may also be linearly dependent and so on. We give the solution for the general case of such a hierarchy.

- Authors:

- Publication Date:

- Research Org.:
- Academy of Sciences, P.N. Lebedev Physical Institute, Moscow, USSR

- OSTI Identifier:
- 5425625

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Phys. Rev. D; (United States); Journal Volume: 28:10

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; EIGENVECTORS; EIGENVALUES; SPIN; TENSOR FORCES; ANGULAR MOMENTUM; INVARIANCE PRINCIPLES; PARTICLE PROPERTIES; 645400* - High Energy Physics- Field Theory

### Citation Formats

```
Batalin, I.A., and Vilkovisky, G.A.
```*Quantization of gauge theories with linearly dependent generators*. United States: N. p., 1983.
Web. doi:10.1103/PhysRevD.28.2567.

```
Batalin, I.A., & Vilkovisky, G.A.
```*Quantization of gauge theories with linearly dependent generators*. United States. doi:10.1103/PhysRevD.28.2567.

```
Batalin, I.A., and Vilkovisky, G.A. Tue .
"Quantization of gauge theories with linearly dependent generators". United States.
doi:10.1103/PhysRevD.28.2567.
```

```
@article{osti_5425625,
```

title = {Quantization of gauge theories with linearly dependent generators},

author = {Batalin, I.A. and Vilkovisky, G.A.},

abstractNote = {The quantization rules for gauge theories with open algebras are generalized to the case of linearly dependent generators. The given zero-eigenvalue eigenvectors of the generators may also be linearly dependent and possess zero-eigenvalue eigenvectors which may also be linearly dependent and so on. We give the solution for the general case of such a hierarchy.},

doi = {10.1103/PhysRevD.28.2567},

journal = {Phys. Rev. D; (United States)},

number = ,

volume = 28:10,

place = {United States},

year = {Tue Nov 15 00:00:00 EST 1983},

month = {Tue Nov 15 00:00:00 EST 1983}

}

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