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

Danilo E. Diaz, Harald Dorn

Resultado de la investigación: Article

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 originalEnglish
Páginas (desde-hasta)175-195
Número de páginas21
PublicaciónJournal of High Energy Physics
Volumen8
N.º8
EstadoPublished - 1 ago 2004

Huella dactilar

plane waves
propagation
Green's functions
universe
scalars
radii
expansion
geometry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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

En: Journal of High Energy Physics, Vol. 8, N.º 8, 01.08.2004, p. 175-195.

Resultado de la investigación: Article

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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.

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