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Short distance physics and initial state effects on the CMB power spectrum

M. Zarei*

  • Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran

  • *zarei@ph.iut.ac.ir
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Phys. Rev. D 78, 123502 – Published 2 December, 2008

DOI: https://doi.org/10.1103/PhysRevD.78.123502

Abstract

We investigate a modification in the action of inflaton due to noncommutativity leads to a nonstandard initial vacuum and oscillatory corrections in the initial power spectrum. We show that the presence of these oscillations causes a drop in the WMAP χ2 about Δχ2∼8.5. As a bonus, from the parameter estimation done in this work, we show that the noncommutative parameters can be precisely bound to 1016  GeV or 104  GeV depending on the inflation scale.

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References (67)

  1. J. Martin and R. H. Brandenberger, Phys. Rev. D 63, 123501 (2001).
  2. J. Martin and R. H. Brandenberger, arXiv:astro-ph/0012031.
  3. S. Tsujikawa, R. Maartens, and R. Brandenberger, Phys. Lett. B 574, 141 (2003).
  4. R. Easther, B. R. Greene, W. H. Kinney, and G. Shiu, Phys. Rev. D 67, 063508 (2003); Yi-fu Cai and Yun-Song Piao, Phys. Lett. B 657, 1 (2007); L. Sriramkumar and T. Padmanabhan, Phys. Rev. D 71, 103512 (2005); S. Shankaranarayanan, Classical Quantum Gravity 20, 75 (2003); A. Ashoorioon, J. L. Hovdebo, and R. B. Mann, Nucl. Phys. B727, 63 (2005).
  5. R. Easther, B. R. Greene, W. H. Kinney, and G. Shiu, Phys. Rev. D 66, 023518 (2002).
  6. B. Greene, M. Parikh, and J. P. van der Schaar, J. High Energy Phys. 04 (2006) 057.
  7. T. Tanaka, arXiv:astro-ph/0012431.
  8. J. C. Niemeyer and R. Parentani, Phys. Rev. D 64, 101301 (2001).
  9. A. Kempf and J. C. Niemeyer, Phys. Rev. D 64, 103501 (2001).
  10. D. Campo, J. Niemeyer, and R. Parentani, arXiv:0705.0747v1.
  11. A. A. Starobinsky, Pis’ma Zh. Eksp. Teor. Fiz. 73, 415 (2001) [JETP Lett. 73, 371 (2001)].
  12. U. H. Danielsson, Phys. Rev. D 66, 023511 (2002).
  13. K. Goldstein and D. A. Lowe, Phys. Rev. D 67, 063502 (2003).
  14. C. P. Burgess, J. M. Cline, F. Lemieux, and R. Holman, J. High Energy Phys. 02 (2003) 048.
  15. J. Macher and R. Parentani, Phys. Rev. D 78, 043522 (2008).
  16. P. R. Anderson, C. Molina-Paris, and E. Mottola, Phys. Rev. D 72, 043515 (2005).
  17. C. Armendariz-Picon and E. A. Lim, J. Cosmol. Astropart. Phys. 12 (2003) 006.
  18. H. Collins and R. Holman, Phys. Rev. D 77, 105016 (2008).
  19. A. R. Liddle and D. H. Lyth, Cosmological Inflation and Large-scale Structure (Cambridge University Press, Cambridge, England, 2000).
  20. V. Mukhanov, Physical Foundations of Cosmology (Cambridge University Press, Cambridge, England, 2005).
  21. C. P. Burgess, Proc. Sci., P2GC (2006) 008; Classical Quantum Gravity 24, S795 (2007).
  22. A. Linde, Lect. Notes Phys. 738, 1 (2008).
  23. J. Garcia-Bellido, arXiv:astro-ph/0502139.
  24. J. Niemeyer, R. Parentani, and D. Campo, Phys. Rev. D 76, 023513 (2007).
  25. J. Martin and R. H. Brandenberger, Phys. Rev. D 68, 063513 (2003).
  26. N. Kaloper, M. Kleban, A. E. Lawrence, and S. Shenker, Phys. Rev. D 66, 123510 (2002).
  27. R. H. Brandenberger and J. Martin, Int. J. Mod. Phys. A 17, 3663 (2002).
  28. S. Weinberg, Phys. Rev. D 77, 123541 (2008).
  29. J. Martin and C. Ringeval, Phys. Rev. D 69, 083515 (2004).
  30. J. Martin and C. Ringeval, Phys. Rev. D 69, 127303 (2004).
  31. J. Martin and C. Ringeval, J. Cosmol. Astropart. Phys. 01 (2005) 007.
  32. N. E. Groeneboom and O. Elgaroy, Phys. Rev. D 77, 043522 (2008).
  33. N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).
  34. T. S. Bunch and P. C. Davies, Proc. R. Soc. A 360, 117 (1978).
  35. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, Inc., London, 1994), 5th ed..
  36. K. Schalm, G. Shiu, and J. P. van der Schaar, AIP Conf. Proc. 743, 362 (2004).
  37. M. R. douglas and N. A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001).
  38. R. J. Szabo, Phys. Rep. 378, 207 (2003).
  39. M. R. douglas and N. A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001).
  40. R. J. Szabo, Phys. Rep. 378, 207 (2003).
  41. S. Minwalla, M. V. Raamsdonk, and N. Seiberg, J. High Energy Phys. 02 (2000) 020.
  42. H. Grosse and R. Wulkenhaar, Commun. Math. Phys. 256, 305 (2005).
  43. R. Gurau, J. Magnen, V. Rivasseau, and A. Tanasa, arXiv:0802.0791v1.
  44. B. Mirza and M. Zarei, Int. J. Mod. Phys. A 23, 2613 (2008).
  45. E. Langmann and R. J. Szabo, Phys. Lett. B 533, 168 (2002).
  46. R. H. Brandenberger and J. Martin, Phys. Rev. D 71, 023504 (2005); M. Lemoine, M. Lubo, J. Martin, and J. P. Uzan, 65, 023510 (2001).
  47. A. Lewis and S. Bridle, Phys. Rev. D 66, 103511 (2002), http://cosmologist.info/cosmomc.
  48. L. Bergstrom and U. H. Danielsson, J. High Energy Phys. 12 (2002) 038.
  49. W. Hu and S. Dodelson, Annu. Rev. Astron. Astrophys. 40, 171 (2002).
  50. J. M. Cline, P. Crotty, and J. Lesgourgues, J. Cosmol. Astropart. Phys. 09 (2003) 010.
  51. S. Hannestad and L. Mersini-Houghton, Phys. Rev. D 71, 123504 (2005).
  52. C. R. Contaldi, M. Peloso, L. Kofman, and A. Linde, J. Cosmol. Astropart. Phys. 07 (2003) 002.
  53. R. Easther, W. H. Kinney, and H. Peiris, J. Cosmol. Astropart. Phys. 08 (2005) 001.
  54. N. E. Groeneboom and O. Elgaroy, Phys. Rev. D 77, 043522 (2008).
  55. O. Elgaroy and S. Hannestad, Phys. Rev. D 68, 123513 (2003).
  56. J. Hamann, S. Hannestad, M. S. Sloth, and Y. Y. Y. Wong, J. Cosmol. Astropart. Phys. 09 (2008) 015.
  57. A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538, 473 (2000), http://camb.info.
  58. http://lambda.gsfc.nasa.gov.
  59. E. Komatsu et al., arXiv:0803.0547.
  60. N. Bartolo, E. Komatsu, S. Matarrese, and A. Riotto, Phys. Rep. 402, 103 (2004).
  61. R. Allahverdi, J. Garcia-Bellido, K. Enqvist, and A. Mazumdar, Phys. Rev. Lett. 97, 191304 (2006).
  62. R. Allahverdi, A. Kusenko, and A. Mazumdar, J. Cosmol. Astropart. Phys. 07 (2007) 018.
  63. R. Allahverdi, K. Enqvist, J. Garcia-Bellido, A. Jokinen, and A. Mazumdar, J. Cosmol. Astropart. Phys. 06 (2007) 019.
  64. R. Allahverdi, B. Dutta, and A. Mazumdar, Phys. Rev. Lett. 99, 261301 (2007).
  65. S. M. Carroll, J. A. Harvey, V. A. Kostelecky, C. D. Lane, and T. Okamoto, Phys. Rev. Lett. 87, 141601 (2001).
  66. M. Chaichian, M. M. Sheikh-Jabbari, and A. Tureanu, Phys. Rev. Lett. 86, 2716 (2001).
  67. S. Cole and et al., Mon. Not. R. Astron. Soc. 362, 505 (2005).

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Phys. Rev. D 78, 123502– Published 2 December, 2008
  • Received 24 September 2008

© 2008 American Physical Society

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