# Conformally related massless fields in dS, AdS and Minkowski spaces

## Abstract

In this paper we write down the equation for a scalar conformally coupled field simultaneously for de Sitter (dS), anti-de Sitter (AdS), and Minkowski spacetimes in d dimensions. The curvature dependence appears in a very simple way through a conformal factor. As a consequence the process of curvature free limit, including wave functions limit and two-points functions, turns out to be a straightforward issue. We determine a set of modes, that we call de Sitter plane waves, which become ordinary plane waves when the curvature vanishes.

- Authors:

- APC, 11 pl. M. Berthelot, F-75231 Paris Cedex 05 (France)
- (France)

- Publication Date:

- OSTI Identifier:
- 20782924

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.73.084025; (c) 2006 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; CONFORMAL INVARIANCE; DE SITTER GROUP; EINSTEIN FIELD EQUATIONS; MINKOWSKI SPACE; QUANTUM FIELD THEORY; SCALARS; SPACE-TIME; WAVE FUNCTIONS

### Citation Formats

```
Huguet, E., Queva, J., Universite Paris 7-Denis Diderot, boite 7020, F-75251 Paris Cedex 05, Renaud, J., and Universite de Marne la Vallee, 5 Bld Descartes, Champs sur marne, 77454 Marne-la-Vallee Cedex 2.
```*Conformally related massless fields in dS, AdS and Minkowski spaces*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.084025.

```
Huguet, E., Queva, J., Universite Paris 7-Denis Diderot, boite 7020, F-75251 Paris Cedex 05, Renaud, J., & Universite de Marne la Vallee, 5 Bld Descartes, Champs sur marne, 77454 Marne-la-Vallee Cedex 2.
```*Conformally related massless fields in dS, AdS and Minkowski spaces*. United States. doi:10.1103/PHYSREVD.73.084025.

```
Huguet, E., Queva, J., Universite Paris 7-Denis Diderot, boite 7020, F-75251 Paris Cedex 05, Renaud, J., and Universite de Marne la Vallee, 5 Bld Descartes, Champs sur marne, 77454 Marne-la-Vallee Cedex 2. Sat .
"Conformally related massless fields in dS, AdS and Minkowski spaces". United States.
doi:10.1103/PHYSREVD.73.084025.
```

```
@article{osti_20782924,
```

title = {Conformally related massless fields in dS, AdS and Minkowski spaces},

author = {Huguet, E. and Queva, J. and Universite Paris 7-Denis Diderot, boite 7020, F-75251 Paris Cedex 05 and Renaud, J. and Universite de Marne la Vallee, 5 Bld Descartes, Champs sur marne, 77454 Marne-la-Vallee Cedex 2},

abstractNote = {In this paper we write down the equation for a scalar conformally coupled field simultaneously for de Sitter (dS), anti-de Sitter (AdS), and Minkowski spacetimes in d dimensions. The curvature dependence appears in a very simple way through a conformal factor. As a consequence the process of curvature free limit, including wave functions limit and two-points functions, turns out to be a straightforward issue. We determine a set of modes, that we call de Sitter plane waves, which become ordinary plane waves when the curvature vanishes.},

doi = {10.1103/PHYSREVD.73.084025},

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

number = 8,

volume = 73,

place = {United States},

year = {Sat Apr 15 00:00:00 EDT 2006},

month = {Sat Apr 15 00:00:00 EDT 2006}

}

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