- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Linearized Weyl-Weyl correlator in a de Sitter breaking gauge

P. J. Mora* and R. P. Woodard†

  • Department of Physics, University of Florida, Gainesville, Florida 32611, USA

  • *pmora@phys.ufl.edu
  • †woodard@phys.ufl.edu
PDF

Phys. Rev. D 85, 124048 – Published 21 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.124048

Abstract

We use a de Sitter breaking graviton propagator [14,15] to compute the tree-order correlator between noncoincident Weyl tensors on a locally de Sitter background. An explicit and very simple result is obtained for any spacetime dimension D, in terms of a de Sitter invariant length function and the tensor basis constructed from the metric and derivatives of this length function. Our answer does not agree with the one derived previously by Kouris [26], but that result must be incorrect because it is not transverse and lacks some of the algebraic symmetries of the Weyl tensor. Taking the coincidence limit of our result (with dimensional regularization) and contracting the indices gives the expectation value of the square of the Weyl tensor at lowest order. We propose the next order computation of this as a true test of de Sitter invariance in quantum gravity.

View figure in article

Article Text

References (43)

  1. Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959); W. Ehrenberg and R. E. Siday, Proc. Phys. Soc. London Sect. B 62, 8 (1949).
  2. http://www.rssd.esa.int/index.php?project=Planck.
  3. http://groups.physics.umn.edu/cosmology/ebex/index.html.
  4. http://www.astro.caltech.edu/~lgg/spider/spider_front.htm.
  5. https://portfolio.du.edu/portfolio/getportfoliofile?uid=167700.
  6. N. C. Tsamis and R. P. Woodard, Classical Quantum Gravity 11, 2969 (1994).
  7. M. Faizal and A. Higuchi, Phys. Rev. D 85, 124021 (2012).
  8. A. Higuchi, D. Marolf, and I. A. Morrison, Classical Quantum Gravity 28, 245012 (2011).
  9. S. P. Miao, N. C. Tsamis, and R. P. Woodard, Classical Quantum Gravity 28, 245013 (2011).
  10. S. P. Miao, N. C. Tsamis, and R. P. Woodard, J. Math. Phys. (N.Y.) 50, 122502 (2009).
  11. S. P. Miao, N. C. Tsamis, and R. P. Woodard, J. Math. Phys. (N.Y.) 51, 072503 (2010).
  12. B. Allen and M. Turyn, Nucl. Phys. B292, 813 (1987); S. W. Hawking, T. Hertog, and N. Turok, Phys. Rev. D 62, 063502 (2000); A. Higuchi and S. S. Kouris, Classical Quantum Gravity 18, 4317 (2001); A. Higuchi and R. H. Weeks, 20, 3005 (2003).
  13. E. O. Kahya and R. P. Woodard, Phys. Rev. D 72, 104001 (2005); 74, 084012 (2006).
  14. N. C. Tsamis and R. P. Woodard, Commun. Math. Phys. 162, 217 (1994).
  15. R. P. Woodard, in Deserfest: A Celebration of the Life and Works of Stanley Deser, edited by J. T. Liu, M. J. Duff, K. S. Stelle, and R. P. Woodard (World Scientific, Hackensack, 2006), p. 339.
  16. N. C. Tsamis and R. P. Woodard, Ann. Phys. (N.Y.) 253, 1 (1997).
  17. N. C. Tsamis and R. P. Woodard, Phys. Rev. D 54, 2621 (1996).
  18. N. C. Tsamis and R. P. Woodard, Ann. Phys. (N.Y.) 321, 875 (2006).
  19. S. P. Miao and R. P. Woodard, Classical Quantum Gravity 23, 1721 (2006); Phys. Rev. D 74, 024021 (2006); Classical Quantum Gravity 25, 145009 (2008).
  20. E. O. Kahya and R. P. Woodard, Phys. Rev. D 76, 124005 (2007); 77, 084012 (2008).
  21. G. Kleppe, Phys. Lett. B 317, 305 (1993).
  22. S. P. Miao, N. C. Tsamis, and R. P. Woodard, J. Math. Phys. (N.Y.) 52, 122301 (2011).
  23. E. O. Kahya, S. P. Miao, and R. P. Woodard, J. Math. Phys. (N.Y.) 53, 022304 (2012).
  24. A. Higuchi and Y. C. Lee, Phys. Rev. D 78, 084031 (2008); M. Faizal and A. Higuchi, 78, 067502 (2008).
  25. N. C. Tsamis and R. P. Woodard, Classical Quantum Gravity 18, 83 (2001).
  26. S. S. Kouris, Classical Quantum Gravity 18, 4961 (2001).
  27. B. Allen and A. Folacci, Phys. Rev. D 35, 3771 (1987).
  28. B. Allen, Phys. Rev. D 32, 3136 (1985).
  29. V. K. Onemli and R. P. Woodard, Classical Quantum Gravity 19, 4607 (2002); Phys. Rev. D 70, 107301 (2004).
  30. A. Vilenkin and L. H. Ford, Phys. Rev. D 26, 1231 (1982); A. D. Linde, Phys. Lett. B 116, 335 (1982); A. A. Starobinsky, 117, 175 (1982).
  31. N. C. Tsamis and R. P. Woodard, Ann. Phys. (N.Y.) 215, 96 (1992).
  32. A. Higuchi (private communication).
  33. P. J. Mora, N. C. Tsamis, and R. P. Woodard, arXiv:1205.4466.
  34. P. J. Mora, N. C. Tsamis, and R. P. Woodard, arXiv:1205.4468.
  35. I. Antoniadis and E. Mottola, J. Math. Phys. (N.Y.) 32, 1037 (1991).
  36. N. C. Tsamis and R. P. Woodard, Classical Quantum Gravity 2, 841 (1985).
  37. R. P. Woodard, Classical Quantum Gravity 10, 483 (1993).
  38. E. O Kahya, V. K. Onemli, and R. P. Woodard, Phys. Rev. D 81, 023508 (2010).
  39. T. Brunier, V. K. Onemli, and R. P. Woodard, Classical Quantum Gravity 22, 59 (2005); E. O. Kahya and V. K. Onemli, Phys. Rev. D 76, 043512 (2007).
  40. N. C. Tsamis and R. P. Woodard, Nucl. Phys. B724, 295 (2005); R. P. Woodard, Nucl. Phys. B, Proc. Suppl. 148, 108 (2005).
  41. T. Prokopec, O. Tornkvist, and R. P. Woodard, Phys. Rev. Lett. 89, 101301 (2002); Ann. Phys. (N.Y.) 303, 251 (2003); T. Prokopec and R. P. Woodard, Am. J. Phys. 72, 60 (2004); Ann. Phys. (N.Y.) 312, 1 (2004).
  42. T. Prokopec and R. P. Woodard, J. High Energy Phys. 10 (2003) 059; B. Garbrecht and T. Prokopec, Phys. Rev. D 73, 064036 (2006); S. P. Miao and R. P. Woodard, 74, 044019 (2006).
  43. H. Kitamoto and Y. Kitazawa, Phys. Rev. D 83, 104043 (2011); 85, 044062 (2012).

Outline

Information

Phys. Rev. D 85, 124048– Published 21 June, 2012
  • Received 7 February 2012
Article part of CHORUS

© 2012 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation