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Journal of Mathematical Physics / Volume 53 / Issue 2 / ARTICLES / Relativistic Quantum Mechanics, Field Theory, Brane Theory (Including Strings)

J. Math. Phys. 53, 022304 (2012); http://dx.doi.org/10.1063/1.3681886 (28 pages)

The coincidence limit of the graviton propagator in de Donder gauge on de Sitter background

E. O. Kahya1, S. P. Miao2, and R. P. Woodard3

1Theoretisch-Physikalisches Institute, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany
2Institute for Theoretical Physics & Spinoza Institute, Utrecht University Leuvenlaan 4, Postbus 80.195, 3508 TD Utrecht, The Netherlands
3Department of Physics, University of Florida Gainesville, Florida 32611, USA

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(Received 19 December 2011; accepted 12 January 2012; published online 10 February 2012)

We explicitly work out the de Sitter breaking contributions to the recent solution for the de Donder gauge graviton propagator on de Sitter. We also provide explicit power series expansions for the two structure functions, which are suitable for implementing dimensional regularization. And we evaluate the coincidence limit of the propagator.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. NOTATION
    1. Working on de Sitter
    2. General scalar propagators
    3. Integrating scalar propagators
    4. Form of the graviton propagator
  3. EXPANSIONS FOR THE STRUCTURE FUNCTIONS
    1. Spin zero part
    2. Spin two part
  4. DE SITTER INVARIANT TENSOR STRUCTURE
  5. DE SITTER BREAKING IN THE FULL PROPAGATOR
    1. Spin zero part
    2. Spin two part
  6. THE COINCIDENCE LIMIT
  7. DISCUSSION

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KEYWORDS and PACS

Keywords

gravitons, quantum gravity

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3681886

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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