# Maximally symmetric vector propagator

## Abstract

We derive the propagator for a massive vector field on a de Sitter background of arbitrary dimension. This propagator is de Sitter invariant and possesses the proper flat space-time and massless limits. Moreover, the retarded Green's function inferred from it produces the correct classical response to a test source. Our result is expressed in a tensor basis which is convenient for performing quantum-field-theory computations using dimensional regularization.

- Authors:

- Department of Physics, University of Crete, GR-710 03 Heraklion (Greece)
- (United States)

- Publication Date:

- OSTI Identifier:
- 20929712

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 5; Other Information: DOI: 10.1063/1.2738361; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CALCULATION METHODS; DE SITTER GROUP; GAUGE INVARIANCE; GREEN FUNCTION; PROPAGATOR; QUANTUM GRAVITY; RENORMALIZATION; SPACE-TIME; VECTOR FIELDS; VECTORS

### Citation Formats

```
Tsamis, N. C., Woodard, R. P., and Department of Physics, University of Florida, Gainesville, Florida 32611.
```*Maximally symmetric vector propagator*. United States: N. p., 2007.
Web. doi:10.1063/1.2738361.

```
Tsamis, N. C., Woodard, R. P., & Department of Physics, University of Florida, Gainesville, Florida 32611.
```*Maximally symmetric vector propagator*. United States. doi:10.1063/1.2738361.

```
Tsamis, N. C., Woodard, R. P., and Department of Physics, University of Florida, Gainesville, Florida 32611. Tue .
"Maximally symmetric vector propagator". United States.
doi:10.1063/1.2738361.
```

```
@article{osti_20929712,
```

title = {Maximally symmetric vector propagator},

author = {Tsamis, N. C. and Woodard, R. P. and Department of Physics, University of Florida, Gainesville, Florida 32611},

abstractNote = {We derive the propagator for a massive vector field on a de Sitter background of arbitrary dimension. This propagator is de Sitter invariant and possesses the proper flat space-time and massless limits. Moreover, the retarded Green's function inferred from it produces the correct classical response to a test source. Our result is expressed in a tensor basis which is convenient for performing quantum-field-theory computations using dimensional regularization.},

doi = {10.1063/1.2738361},

journal = {Journal of Mathematical Physics},

number = 5,

volume = 48,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2738361

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