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Scalar-tensor gravity with a non-minimally coupled Higgs field and accelerating universe

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Abstract

We consider general couplings, including non-minimal derivative coupling, of a Higgs boson field to scalar-tensor gravity and calculate their contributions to the energy density and pressure in Friedmann-Robertson-Walker spacetime. In a special case where the kinetic term of the Higgs field is non-minimally coupled to the Einstein tensor, we seek de Sitter solutions for the cosmic scale factor and discuss the possibility that the late-time acceleration and the inflationary era of our universe can be described by means of scalar fields with self-interactions and the Yukawa potential.

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References

  1. A. G. Riess et al., Astron. J. 116, 1009 (1998), astroph/ 9805201; S. J. Perlmutter et al., Astrophys. J. 517, 565 (1999); S. Perlmutter, M. S. Turner and M. J. White, Phys. Rev. Lett. 83, 670 (1999), astro-ph/9901052; A. G. Riess et al., Astrophys. J 659, 98 (2007); D. N. Spergel et al. (WMAP Collaboration), Astrophys. J. Suppl. 170, 377 (2007), astro-ph/0603449.

    Article  ADS  Google Scholar 

  2. G. Hinshaw et al. [WMAP Collaboration], arXiv:1212.5226 [astro-ph]; G. Hinshaw et al. [WMAP Collaboration], Astrophys. J. Suppl. 180, 225 (2009), arXiv:0803.0732 [astro-ph].

  3. P. A. R. Ade et al. [Planck Collaboration], arXiv:1303.5076 [astro-ph.CO].

  4. V. C. Rubin, N. Thonnard and W. K. Ford, Astrophys. J. 238, 471 (1980).

    Article  ADS  Google Scholar 

  5. P. D. Mannheim, Astrophys. J. 479, 659 (1997), astroph/9605085; T. H. Lee and B. J. Lee, Phys. Rev. D 69, 127502 (2004)

    Article  ADS  Google Scholar 

  6. R. R. Caldwell, R. Dave and P. J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998), astro-ph/9708069, and references therein.

    Article  ADS  Google Scholar 

  7. C. Armendariz-Picon, V. F. Mukhanov and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000); Phys. Rev. D 63, 103510 (2001); T. Chiba, T. Okabe and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000); M. Malquarti, E. J. Copeland, A. R. Liddle and M. Troden, Phys. Rev. D 67, 123503 (2003); S. Nojiri and S. D. Odintsov, Gen. Rel. Grav. 38, 1285 (2006), hep-th/0506212.

    Article  ADS  Google Scholar 

  8. R. R. Caldwell, Phys. Lett. B 545, 23 (2002), astroph/9908168.

    Article  ADS  Google Scholar 

  9. G. Aad et al. [ATLAS Collaboration], Phys. Lett. B 716, (2012) 1, arXiv:1207.7214 [hep-ex]; S. Chatrchyan et al. [CMS Collaboration], Phys. Lett. B 716, 30 (2012), arXiv:1207.7235 [hep-ex].

    Article  ADS  Google Scholar 

  10. F. L. Bezrukov and M. E. Shaposhnikov, Phys. Lett. B 659, 703 (2008), arXiv:0710.3755 [hep-th]; I. Masina and A. Notari, Phys. Rev. D 85, 123506 (2012), arXiv:1112.2659 [hep-ph]; S. Lee, J. Sim and T. H. Lee, J. Korean Phys. Soc. 64, 611 (2014).

    Article  ADS  Google Scholar 

  11. J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori, A. Riotto and A. Strumia, Phys. Lett. B 709, 222 (2012), arXiv:1112.3022 [hep-ph]; G. Degrassi, S. Di Vita, J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori, and A. Strumia, JHEP 1208, 098 (2012), arXiv:1205.6497 [hep-ph]; F. Bezrukov, M. Y. .Kalmykov, B. A. Kniehl, and M. Shaposhnikov, JHEP 1210, 140 (2012), arXiv:1205.2893 [hep-ph].

    Article  ADS  Google Scholar 

  12. C. P. Burgess, H. M. Lee and M. Trott, JHEP 0909, 103 (2009), arXiv:0902.4465 [hep-ph]; J. L. F. Barbon and J. R. Espinosa, Phys. Rev. D 79, 081302 (2009), arXiv:0903.0355 [hep-ph]; M. P. Hertzberg, JHEP 1011, 023 (2010), arXiv:1002.2995 [hep-ph].

    Article  ADS  Google Scholar 

  13. G. F. Giudice and H. M. Lee, Phys. Lett. B 694, 294 (2011), arXiv:1010.1417 [hep-ph].

    Article  ADS  Google Scholar 

  14. A. Guarnizo, L. Castaneda, and J. M. Tejeiro, Gen. Rel. Grav. 42, 2713 (2010), arXiv:1002.0617 [gr-qc].

    Article  ADS  MathSciNet  Google Scholar 

  15. C. Germani and A. Kehagias, Phys. Rev. Lett. 105, 011302 (2010), arXiv:1003.2635 [hep-ph].

    Article  ADS  Google Scholar 

  16. C. Germani and A. Kehagias, JCAP 1005, 019 (2010), Erratum-ibid. 1006, E01 (2010), arXiv:1003.4285 [astroph. CO]; S. Chatterjee, arXiv:1412.2739 [gr-qc].

    Article  ADS  Google Scholar 

  17. C. G. Boehmer and T. Harko, Eur. Phys. J. C 50, 423 (2007), gr-qc/0701029.

    Article  ADS  Google Scholar 

  18. M. B. Einhorn and D. R. T. Jones, arXiv:1207.1710 [hepph].

  19. M. Arik and M. C. Calik. JCAP 0501, 013 (2005), grqc/0403108.

    Article  ADS  Google Scholar 

  20. E. Babichev, C. Deffayet and G. Esposito-Farese, Phys. Rev. Lett. 107, 251102 (2011), arXiv:1107.1569 [gr-qc].

    Article  ADS  Google Scholar 

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Correspondence to Tae Hoon Lee.

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Sim, J., Lee, T.H. Scalar-tensor gravity with a non-minimally coupled Higgs field and accelerating universe. Journal of the Korean Physical Society 68, 725–729 (2016). https://doi.org/10.3938/jkps.68.725

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