### Resumen

Green functions for the scalar, spinor and vector fields in a plane wave geometry arising as a Penrose limit of AdS × S are obtained. The Schwinger-DeWitt technique directly gives the results in the plane wave background, which turns out to be WKB-exact. Therefore the structural similarity with flat space results is unveiled. In addition, based on the local character of the Penrose limit, it is claimed that for getting the correct propagators in the limit one can rely on the first terms of the direct geodesic contribution in the Schwinger-DeWitt expansion of the original propagators. This is explicitly shown for the Einstein Static Universe, which has the same Penrose limit as AdS × S with equal radii, and for a number of other illustrative cases.

Idioma original | English |
---|---|

Páginas (desde-hasta) | 175-195 |

Número de páginas | 21 |

Publicación | Journal of High Energy Physics |

Volumen | 8 |

N.º | 8 |

Estado | Published - 1 ago 2004 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Journal of High Energy Physics*,

*8*(8), 175-195.

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*Journal of High Energy Physics*, vol. 8, n.º 8, pp. 175-195.

**Propagators and WKB-exactness in the plane wave limit of AdS × S.** / Diaz, Danilo E.; Dorn, Harald.

Resultado de la investigación: Article

TY - JOUR

T1 - Propagators and WKB-exactness in the plane wave limit of AdS × S

AU - Diaz, Danilo E.

AU - Dorn, Harald

PY - 2004/8/1

Y1 - 2004/8/1

N2 - Green functions for the scalar, spinor and vector fields in a plane wave geometry arising as a Penrose limit of AdS × S are obtained. The Schwinger-DeWitt technique directly gives the results in the plane wave background, which turns out to be WKB-exact. Therefore the structural similarity with flat space results is unveiled. In addition, based on the local character of the Penrose limit, it is claimed that for getting the correct propagators in the limit one can rely on the first terms of the direct geodesic contribution in the Schwinger-DeWitt expansion of the original propagators. This is explicitly shown for the Einstein Static Universe, which has the same Penrose limit as AdS × S with equal radii, and for a number of other illustrative cases.

AB - Green functions for the scalar, spinor and vector fields in a plane wave geometry arising as a Penrose limit of AdS × S are obtained. The Schwinger-DeWitt technique directly gives the results in the plane wave background, which turns out to be WKB-exact. Therefore the structural similarity with flat space results is unveiled. In addition, based on the local character of the Penrose limit, it is claimed that for getting the correct propagators in the limit one can rely on the first terms of the direct geodesic contribution in the Schwinger-DeWitt expansion of the original propagators. This is explicitly shown for the Einstein Static Universe, which has the same Penrose limit as AdS × S with equal radii, and for a number of other illustrative cases.

KW - AdS-CFT and dS-CFT Correspondence

KW - Penrose limit and pp-wave background

UR - http://www.scopus.com/inward/record.url?scp=23044464737&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:23044464737

VL - 8

SP - 175

EP - 195

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

ER -