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QCD analogy for quantum gravity

Bob Holdom* and Jing Ren†

  • Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S1A7

  • *bob.holdom@utoronto.ca
  • †jren@physics.utoronto.ca
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Phys. Rev. D 93, 124030 – Published 13 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.124030

Abstract

Quadratic gravity presents us with a renormalizable, asymptotically free theory of quantum gravity. When its couplings grow strong at some scale, as in QCD, then this strong scale sets the Planck mass. QCD has a gluon that does not appear in the physical spectrum. Quadratic gravity has a spin-2 ghost that we conjecture does not appear in the physical spectrum. We discuss how the QCD analogy leads to this conjecture and to the possible emergence of general relativity. Certain aspects of the QCD path integral and its measure are also similar for quadratic gravity. With the addition of the Einstein-Hilbert term, quadratic gravity has a dimensionful parameter that seems to control a quantum phase transition and the size of a mass gap in the strong phase.

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References (69)

  1. H. Weyl, Ann. Phys. (Berlin) 364, 101 (1919); Surveys High Energ. Phys. 5, 237 (1986).
  2. J. F. Donoghue, Phys. Rev. D 50, 3874 (1994); AIP Conf. Proc. 1483, 73 (2012); J. F. Donoghue and B. R. Holstein, J. Phys. G 42, 103102 (2015).
  3. C. P. Burgess, Living Rev. Relativ. 7, 5 (2004).
  4. K. S. Stelle, Phys. Rev. D 16, 953 (1977).
  5. B. L. Voronov and I. V. Tyutin, Yad. Fiz. 39, 998 (1984).
  6. G. de Berredo-Peixoto and I. L. Shapiro, Phys. Rev. D 71, 064005 (2005).
  7. M. B. Einhorn and D. R. T. Jones, Phys. Rev. D 91, 084039 (2015).
  8. E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B201, 469 (1982).
  9. I. G. Avramidi and A. O. Barvinsky, Phys. Lett. 159B, 269 (1985).
  10. A. Salvio and A. Strumia, J. High Energy Phys. 06 (2014) 080.
  11. M. B. Einhorn and D. R. T. Jones, J. High Energy Phys. 03 (2015) 047.
  12. R. L. Arnowitt, S. Deser, and C. W. Misner, Gen. Relativ. Gravit. 40, 1997 (2008).
  13. M. Ostrogradski, Mem. Ac. St. Petersbourg VI 4, 385 (1850).
  14. R. P. Woodard, Scholarpedia 10, 32243 (2015).
  15. S. Weinberg and E. Witten, Phys. Lett. 96B, 59 (1980).
  16. V. N. Gribov, Nucl. Phys. B139, 1 (1978).
  17. C. T. Hill, arXiv:hep-th/0510177.
  18. M. Maggiore, arXiv:1506.06217.
  19. E. Tomboulis, Phys. Lett. 70B, 361 (1977); 97B, 77 (1980).
  20. T. D. Lee and G. C. Wick, Nucl. Phys. B9, 209 (1969); B10, 1 (1969); Phys. Rev. D 2, 1033 (1970).
  21. I. Antoniadis and E. T. Tomboulis, Phys. Rev. D 33, 2756 (1986).
  22. D. A. Johnston, Nucl. Phys. B297, 721 (1988).
  23. A. Pais and G. E. Uhlenbeck, Phys. Rev. 79, 145 (1950).
  24. A. van Tonder, arXiv:0810.1928.
  25. M. Pavsic, Mod. Phys. Lett. A 28, 1350165 (2013).
  26. T. j. Chen and E. A. Lim, J. Cosmol. Astropart. Phys. 05 (2014) 010.
  27. P. D. Mannheim, Found. Phys. 37, 532 (2007); C. M. Bender and P. D. Mannheim, Phys. Rev. Lett. 100, 110402 (2008).
  28. A. Salvio and A. Strumia, Eur. Phys. J. C 76, 227 (2016).
  29. P. Horava, Phys. Rev. D 79, 084008 (2009).
  30. E. T. Tomboulis, arXiv:hep-th/9702146.
  31. L. Modesto, Phys. Rev. D 86, 044005 (2012).
  32. T. Biswas, E. Gerwick, T. Koivisto, and A. Mazumdar, Phys. Rev. Lett. 108, 031101 (2012).
  33. A. Salam and J. A. Strathdee, Phys. Rev. D 18, 4480 (1978).
  34. G. Narain and R. Anishetty, Phys. Lett. B 711, 128 (2012); J. Phys. Conf. Ser. 405, 012024 (2012).
  35. D. Benedetti, P. F. Machado, and F. Saueressig, Mod. Phys. Lett. A 24, 2233 (2009).
  36. E. T. Tomboulis, Phys. Rev. Lett. 52, 1173 (1984).
  37. For a review of QCD Green functions, see R. Alkofer and L. von Smekal, Phys. Rep. 353, 281 (2001).
  38. R. Oehme and W. Zimmermann, Phys. Rev. D 21, 471 (1980).
  39. J. M. Cornwall, Mod. Phys. Lett. A 28, 1330035 (2013).
  40. L. von Smekal, R. Alkofer, and A. Hauck, Phys. Rev. Lett. 79, 3591 (1997).
  41. A. C. Aguilar, D. Binosi, and J. Papavassiliou, Phys. Rev. D 78, 025010 (2008).
  42. D. Zwanziger, Nucl. Phys. B323, 513 (1989).
  43. N. Vandersickel and D. Zwanziger, Phys. Rep. 520, 175 (2012).
  44. D. Dudal, J. A. Gracey, S. P. Sorella, N. Vandersickel, and H. Verschelde, Phys. Rev. D 78, 065047 (2008).
  45. A. Cucchieri and T. Mendes, Proc. Sci., LAT2007 (2007) 297, arXiv:0710.0412.
  46. I. L. Bogolubsky, E. M. Ilgenfritz, M. Muller-Preussker, and A. Sternbeck, Proc. Sci., LAT2007 (2007) 290, arXiv:0710.1968.
  47. Y. Nakagawa, A. Voigt, E.-M. Ilgenfritz, M. Muller-Preussker, A. Nakamura, T. Saito, A. Sternbeck, and H. Toki, Phys. Rev. D 79, 114504 (2009).
  48. K. Hinterbichler, Rev. Mod. Phys. 84, 671 (2012).
  49. C. de Rham, Living Rev. Relativ. 17, 7 (2014).
  50. J. M. Cline, S. Jeon, and G. D. Moore, Phys. Rev. D 70, 043543 (2004).
  51. M. Maggiore and M. Mancarella, Phys. Rev. D 90, 023005 (2014).
  52. I. M. Singer, Commun. Math. Phys. 60, 7 (1978).
  53. R. Friedberg, T. D. Lee, Y. Pang, and H. C. Ren, Ann. Phys. (N.Y.) 246, 381 (1996).
  54. B. Holdom, Phys. Rev. D 79, 085013 (2009).
  55. P. Hirschfeld, Nucl. Phys. B157, 37 (1979).
  56. R. M. Wald, Phys. Rev. D 33, 3613 (1986).
  57. A. K. Das and M. Kaku, Nuovo Cimento Soc. Ital. Fis. 50B, 303 (1979).
  58. A. Anabalon, F. Canfora, A. Giacomini, and J. Oliva, Phys. Rev. D 83, 064023 (2011).
  59. E. T. Tomboulis, Phys. Rev. D 92, 125037 (2015).
  60. G. F. Giudice, G. Isidori, A. Salvio, and A. Strumia, J. High Energy Phys. 02 (2015) 137.
  61. B. Holdom, J. Ren, and C. Zhang, J. High Energy Phys. 03 (2015) 028.
  62. D. F. Litim and F. Sannino, J. High Energy Phys. 12 (2014) 178.
  63. K. S. Stelle, Gen. Relativ. Gravit. 9, 353 (1978).
  64. B. Holdom, Phys. Rev. D 66, 084010 (2002).
  65. H. Lĺź, A. Perkins, C. N. Pope, and K. S. Stelle, Phys. Rev. D 92, 124019 (2015).
  66. D. M. Eardley and S. B. Giddings, Phys. Rev. D 66, 044011 (2002).
  67. S. B. Giddings and V. S. Rychkov, Phys. Rev. D 70, 104026 (2004).
  68. For a review, see P. S. Joshi, arXiv:1311.0449.
  69. For a review, see D. F. Torres and L. A. Anchordoqui, Rep. Prog. Phys. 67, 1663 (2004).

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Phys. Rev. D 93, 124030– Published 13 June, 2016
  • Received 10 February 2016

© 2016 American Physical Society

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