Abstract
We consider quantum modifications to phantom cosmology in a Friedmann–Robertson–Walker spacetime. The cosmological evolution equations improved by the renormalization group are obtained. For exponential potential, we find two types of cosmological fixed point; the renormalization group scale either freezes in, or continues to evolve with scale factor. We discuss the implications of each of these points, and investigate especially whether the big rip can be avoided. If the fixed point of renormalization group flow coincides with the cosmological fixed point, the universe will be dominated by dark matter and will be free from the big rip.
Similar content being viewed by others
References
R.-J. Yang, S.N. Zhang, Mon. Not. R. Astron. Soc. 407, 1835 (2010)
R.R. Caldwell, Phys. Lett. B 545, 23 (2002)
S.M. Carroll, M. Hoffman, M. Trodden, Phys. Rev. D 68, 023509 (2003)
S.M. Carroll, A. Felice, M. Trodden, Phys. Rev. D 71, 023525 (2005)
R.R. Caldwell, M. Kamionkowski, N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003)
A. Melchiorri, L. Mersini, C.J. Odman, M. Trodden, Phys. Rev. D 68, 043509 (2003)
E. Gaztanaga, R. Miquel, E. Sanchez, Phys. Rev. Lett. 103, 091302 (2009)
K.G. Wilson, J. Kogut, Phys. Rep. 12, 75 (1974)
S. Weinberg, in General Relativity: An Einstein Centenary Survey, ed. by S.W. Hawking, W. Israel (1979), pp. 190–831
D.F. Litim, AIP Conf. Proc. 841, 322 (2006)
M. Niedermaier, M. Reuter, Living Rev. Relativ. 9, 5 (2006)
R. Percacci, in Approaches to Quantum Gravity: Towards a New Understanding of Space, Time and Matter, ed. by D. Oriti (Cambridge University Press, Cambridge, 2007)
A. Bonanno, M. Reuter, Phys. Rev. D 65, 043508 (2002)
M. Reuter, H. Weyer, Phys. Rev. D 69, 104022 (2004)
Y.-F. Cai, D.A. Easson, Phys. Rev. D 84, 103502 (2011)
D. Benedetti, P.F. Machado, F. Saueressig, Mod. Phys. Lett. A 24, 2233 (2009)
W. Souma, Prog. Theor. Phys. 102, 181 (1999)
O. Lauscher, M. Reuter, Phys. Rev. D 65, 025013 (2001)
M. Reuter, F. Saueressig, Phys. Rev. D 65, 065016 (2002)
D.F. Litim, arXiv:0810.3675
P.F. Machado, F. Saueressig, Phys. Rev. D 77, 124045 (2008)
A. Codello, R. Percacci, C. Rahmede, Ann. Phys. 324, 414 (2009)
M. Hindmarsh, D. Litim, C. Rahmede, J. Cosmol. Astropart. Phys. 07, 019 (2011)
C. Ahn, C. Kim, E.V. Linder, Phys. Lett. B 704, 10 (2011)
A. Contillo, M. Hindmarsh, C. Rahmede, Phys. Rev. D 85, 043501 (2012)
A. Bonanno, M. Reuter, Phys. Lett. B 527, 9 (2002)
M. Reuter, F. Saueressig, J. Cosmol. Astropart. Phys. 09, 012 (2005)
F. Bauer, Class. Quantum Gravity 22, 3533 (2005)
B. Guberina, R. Horvat, H. Stefancic, Phys. Rev. D 67, 083001 (2003)
I.L. Shapiro, J. Sola, J. High Energy Phys. 02, 006 (2002)
I.L. Shapiro, J. Sola, Phys. Lett. B 475, 236 (2000)
I.L. Shapiro, J. Sola, Phys. Lett. B 682, 105 (2009)
R. Casadio, S.D.H. Hsu, B. Mirza, Phys. Lett. B 695, 317 (2011)
S. Domazet, H. Stefancic, Phys. Lett. B 703, 1 (2011)
D.C. Rodrigues, P.S. Letelier, I.L. Shapiro, J. Cosmol. Astropart. Phys. 04, 020 (2010)
C. Wetterich, Phys. Lett. B 301, 90 (1993)
A. Silvestri, M. Trodden, Rep. Prog. Phys. 72, 096901 (2009)
E.J. Copeland, A. R Liddle, D. Wands, Phys. Rev. D 57, 4686 (1998)
R.-J. Yang, X.-T. Gao, Class. Quantum Gravity 28, 065012 (2011)
S. Capozziello, S. Nojiri, S.D. Odintsov, Phys. Lett. B 632, 597 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yang, RJ. Asymptotically safe phantom cosmology. Eur. Phys. J. C 72, 1948 (2012). https://doi.org/10.1140/epjc/s10052-012-1948-7
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-012-1948-7