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On the True Nature of Renormalizability in Horava-Lifshitz Gravity

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Abstract

We argue that the true nature of the renormalizability of Horava-Lifshitz gravity lies in the presence of higher order spatial derivatives and not in the anisotropic Lifshitz scaling of space and time. We discuss the possibility of constructing a higher order spatial derivatives model that has the same renormalization properties of Horava-Lifshitz gravity but that does not make use of the Lifshitz scaling. In addition, the state-of-the-art of the Lorentz symmetry restoration in Horava-Lifshitz-type theories of gravitation is reviewed.

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Notes

  1. With spatial derivatives we mean covariant derivatives constructed with the spatial components of the metric tensor.

References

  1. Smolin, L.: Three Roads to Quantum Gravity. Weidenfeld & Nicolson, London (2000)

    Google Scholar 

  2. Hořava, P.: Phys. Rev. D 79, 084008 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  3. Mukohyama, S.: Class. Quantum Gravity 27, 223101 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  4. Izumi, K., Mukohyama, S.: Phys. Rev. D 84, 064025 (2011)

    Article  ADS  Google Scholar 

  5. Gumrukcuoglu, A.E., Mukohyama, S., Wang, A.: Phys. Rev. D 85, 064042 (2012)

    Article  ADS  Google Scholar 

  6. Hořava, P., Melby-Thompson, C.M.: Phys. Rev. D 82, 064027 (2010)

    Article  ADS  Google Scholar 

  7. Biswas, R., Chakraborty, S.: Gen. Relativ. Gravit. 43, 41 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Janke, W., Johnston, D.A., Kenna, R.: J. Phys. A 43, 425206 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  9. Cao, Q.-J., Chen, Y.-X., Shao, K.-N.: Phys. Rev. D 83, 064015 (2011)

    Article  ADS  Google Scholar 

  10. Quevedo, H., Sánchez, A., Taj, S., Vázquez, A.: J. Phys. A 45, 055211 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  11. Stelle, K.S.: Phys. Rev. D 16, 953 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  12. Moffat, J.W.: Eur. Phys. J. Plus 126, 43 (2011)

    Article  Google Scholar 

  13. Tomboulis, E.T.: arXiv:hep-th/9702146

  14. Modesto, L.: arXiv:1107.2403 [hep-th]

  15. Modesto, L.: arXiv:1206.2648 [hep-th]

  16. Modesto, L.: arXiv:1202.3151 [hep-th]

  17. Pospelov, M., Shang, Y.: Phys. Rev. D 85, 105001 (2012)

    Article  ADS  Google Scholar 

  18. Bogdanos, C., Saridakis, E.N.: Class. Quantum Gravity 27, 075005 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  19. Bemfica, F.S., Gomes, M.: Phys. Rev. D 84, 084022 (2011)

    Article  ADS  Google Scholar 

  20. Bemfica, F.S., Gomes, M.: arXiv:1111.5779 [hep-th]

  21. Visser, M.: Phys. Rev. D 80, 025011 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  22. Weinfurtner, S., Sotiriou, T.P., Visser, M.: J. Phys. Conf. Ser. 222, 012054 (2010)

    Article  ADS  Google Scholar 

  23. Arnowitt, R., Deser, S., Misner, C.W.: Gravitation: an Introduction to Current Research. Wiley, New York (1962)

    MATH  Google Scholar 

  24. Gomes, H., Gryb, S., Koslowski, T.: Class. Quantum Gravity 28, 045005 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  25. Orlando, D., Reffert, S.: Class. Quantum Gravity 26, 155021 (2009)

    Article  ADS  Google Scholar 

  26. Charmousis, C., Niz, G., Padilla, A., Saffin, P.M.: J. High Energy Phys. 0908, 070 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  27. Iengo, R., Russo, J.G., Serone, M.: J. High Energy Phys. 0911, 020 (2009)

    Article  ADS  Google Scholar 

  28. Mukohyama, S., Nakayama, K., Takahashi, F., Yokoyama, S.: Phys. Lett. B 679, 6 (2009)

    Article  ADS  Google Scholar 

  29. Xiao, Z., Ma, B.-Q.: Phys. Rev. D 80, 116005 (2009)

    Article  ADS  Google Scholar 

  30. Shao, L., Xiao, Z., Ma, B.-Q.: Astropart. Phys. 33, 312 (2010)

    Article  ADS  Google Scholar 

  31. Amelino-Camelia, G., et al.: Nature 393, 763 (1998)

    Article  ADS  Google Scholar 

  32. Schaefer, B.E.: Phys. Rev. Lett. 82, 4964 (1999)

    Article  ADS  Google Scholar 

  33. Biller, S.D., et al.: Phys. Rev. Lett. 83, 2108 (1999)

    Article  ADS  Google Scholar 

  34. Kifune, T.: Astrophys. J. Lett. 518, L21 (1999)

    Article  ADS  Google Scholar 

  35. Amelino-Camelia, G.: Nature 408, 661 (2000)

    Article  ADS  Google Scholar 

  36. Abdo, A.A., et al.: Science 323, 1688 (2009)

    Article  ADS  Google Scholar 

  37. Ellis, J., Mavromatos, N.E., Nanopoulos, D.V.: Phys. Lett. B 674, 83 (2009)

    Article  ADS  Google Scholar 

  38. Amelino-Camelia, G., Smolin, L.: Phys. Rev. D 80, 084017 (2009)

    Article  ADS  Google Scholar 

  39. Abdo, A.A., et al.: Nature 462, 331 (2009)

    Article  ADS  Google Scholar 

  40. Amelino-Camelia, G.: Nature 462, 291 (2009)

    Article  ADS  Google Scholar 

  41. Amelino-Camelia, G., Gualtieri, L., Mercati, F.: Phys. Lett. B 686, 283 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  42. Amelino-Camelia, G., Lämmerzahl, C., Mercati, F., Tino, G.M.: Phys. Rev. Lett. 103, 171302 (2009)

    Article  ADS  Google Scholar 

  43. Mercati, F., et al.: Class. Quantum Gravity 27, 215003 (2010)

    Article  MathSciNet  ADS  Google Scholar 

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Acknowledgements

We thank A. Marcianó, D.H. Lyth, S. Mukohyama, M. Sasaki, and M. de Llano for useful discussions during the edition of this Letter. F.B. is a UIS postdoctoral fellow. Y.R. is supported by DIEF de Ciencias (UIS) grant number 5177.

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Authors and Affiliations

  1. Escuela de Física, Universidad Industrial de Santander, Ciudad Universitaria, Bucaramanga, 680002, Colombia

    Fabio Briscese, Yeinzon Rodríguez & Guillermo A. González

  2. Istituto Nazionale di Alta Matematica Francesco Severi, Gruppo Nazionale di Fisica Matematica, Città Universitaria, c.a.p., 00185, Rome, Italy

    Fabio Briscese

  3. Centro de Investigaciones, Universidad Antonio Nariño, Cra 3 Este # 47A-15, Bogotá D.C., 110231, Colombia

    Yeinzon Rodríguez

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  1. Fabio Briscese
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  2. Yeinzon Rodríguez
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  3. Guillermo A. González
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Correspondence to Yeinzon Rodríguez.

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Briscese, F., Rodríguez, Y. & González, G.A. On the True Nature of Renormalizability in Horava-Lifshitz Gravity. Found Phys 42, 1444–1451 (2012). https://doi.org/10.1007/s10701-012-9677-1

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