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Vector two-point functions in maximally symmetric spaces

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Abstract

We obtain massive and massless vector two-point functions in maximally symmetric spaces (and vacua) of any number of dimensions. These include de Sitter space and anti-de Sitter space, and their Euclidean analogsS n andH n. Our method is based on a simple way of constructing every possible maximally symmetric bitensorT a...bc′...d′(x, x′) which carries tangent-space indicesa...b atx andc′...d′ atx′.

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Author notes

  1. Bruce Allen

    Present address: Department of Physics, Tufts University, 02155, Medford, MA, USA

Authors and Affiliations

  1. Department of Physics, University of California, 93106, Santa Barbara, CA, USA

    Bruce Allen & Theodore Jacobson

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  1. Bruce Allen
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  2. Theodore Jacobson
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Communicated by S. W. Hawking

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Allen, B., Jacobson, T. Vector two-point functions in maximally symmetric spaces. Commun.Math. Phys. 103, 669–692 (1986). https://doi.org/10.1007/BF01211169

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  • DOI: https://doi.org/10.1007/BF01211169

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