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Title: Representing the vacuum polarization on de Sitter

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4793987· OSTI ID:22162821
;  [1];  [2]
  1. Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
  2. Institute of Theoretical Physics (ITP) and Spinoza Institute, Utrecht University, Postbus 80195, 3508 TD Utrecht (Netherlands)

Previous studies of the vacuum polarization on de Sitter have demonstrated that there is a simple, noncovariant representation of it in which the physics is transparent. There is also a cumbersome, covariant representation in which the physics is obscure. Despite being unwieldy, the latter form has a powerful appeal for those who are concerned about de Sitter invariance. We show that nothing is lost by employing the simple, noncovariant representation because there is a closed form procedure for converting its structure functions to those of the covariant representation. We also present a vastly improved technique for reading off the noncovariant structure functions from the primitive diagrams. And we discuss the issue of representing the vacuum polarization for a general metric background.

OSTI ID:
22162821
Journal Information:
Journal of Mathematical Physics, Vol. 54, Issue 3; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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