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Late-time quantum backreaction from inflationary fluctuations of a nonminimally coupled massless scalar

D. Glavan^*, T. Prokopec^†, and D. C. van der Woude^‡

Institute for Theoretical Physics and Spinoza Institute, Center for Extreme Matter and Emergent Phenomena, Science Faculty, Utrecht University, Postbus 80.195, 3508 TD Utrecht, The Netherlands

^*D.Glavan@uu.nl
^†T.Prokopec@uu.nl
^‡D.C.vanderWoude@uu.nl

Phys. Rev. D 91, 024014 – Published 8 January, 2015

DOI: https://doi.org/10.1103/PhysRevD.91.024014

Abstract

We consider the late-time one-loop quantum backreaction from inflationary fluctuations of a nonminimally coupled, massless scalar field. The scalar is assumed to be a spectator field in an inflationary model with a constant principal slow-roll $ε$ parameter. We regulate the infrared by matching onto a pre-inflationary radiation era. We find a large late-time backreaction when the nonminimal coupling $ξ$ is negative (in which case the scalar exhibits a negative mass term during inflation). The one-loop quantum backreaction becomes significant today for moderately small nonminimal couplings, $ξ \sim - 1 / 20$ , and it changes sign (from negative to positive) at a recent epoch when inflation lasts not much longer than what is minimally required, $N ≳ 66$ . Since currently we do not have a way of treating the classical fluid and the quantum backreaction in a self-consistent manner, we cannot say decidedly whether the backreaction from inflationary quantum fluctuations of a nonminimally coupled scalar can mimic dark energy.

Article Text

References (48)

D. Glavan, T. Prokopec, and V. Prymidis, Phys. Rev. D 89, 024024 (2014).
H. Aoki, S. Iso, and Y. Sekino, Phys. Rev. D 89, 103536 (2014).
P. Ade et al. (BICEP2 Collaboration), Phys. Rev. Lett. 112, 241101 (2014).
E. W. Kolb, S. Matarrese, and A. Riotto, New J. Phys. 8, 322 (2006).
E. Barausse, S. Matarrese, and A. Riotto, Phys. Rev. D 71, 063537 (2005).
C. M. Hirata and U. Seljak, Phys. Rev. D 72, 083501 (2005).
C. Ringeval, T. Suyama, T. Takahashi, M. Yamaguchi, and S. Yokoyama, Phys. Rev. Lett. 105, 121301 (2010).
T. Janssen and T. Prokopec, Phys. Rev. D 83, 084035 (2011).
L. Abramo and R. Woodard, Phys. Rev. D 65, 063515 (2002).
L. Abramo and R. Woodard, Phys. Rev. D 65, 043507 (2002).
L. Abramo and R. Woodard, Phys. Rev. D 60, 044011 (1999).
L. Abramo and R. Woodard, Phys. Rev. D 60, 044010 (1999).
G. Geshnizjani and R. Brandenberger, Phys. Rev. D 66, 123507 (2002).
G. Geshnizjani and R. Brandenberger, J. Cosmol. Astropart. Phys. 04 (2005) 006.
L. Abramo and R. Woodard, Phys. Rev. D 65, 063516 (2002).
T. Janssen and T. Prokopec, Ann. Phys. (Amsterdam) 325, 948 (2010).
G. Marozzi and G. P. Vacca, Phys. Rev. D 88, 027302 (2013).
G. Marozzi and G. P. Vacca, Classical Quantum Gravity 29, 115007 (2012).
G. Marozzi, G. P. Vacca, and R. H. Brandenberger, J. Cosmol. Astropart. Phys. 02 (2013) 027.
T. Prokopec, N. Tsamis, and R. Woodard, Classical Quantum Gravity 24, 201 (2007).
T. Prokopec, N. C. Tsamis, and R. P. Woodard, Phys. Rev. D 78, 043523 (2008).
T. Prokopec, N. Tsamis, and R. Woodard, Ann. Phys. (Amsterdam) 323, 1324 (2008).
S.-P. Miao and R. Woodard, Phys. Rev. D 74, 044019 (2006).
G. Lazzari and T. Prokopec, arXiv:1304.0404.
J. Serreau, Phys. Lett. B 730, 271 (2014).
T. Prokopec, J. Cosmol. Astropart. Phys. 12 (2012) 023.
J. Serreau, Phys. Rev. Lett. 107, 191103 (2011).
T. Janssen, S. Miao, T. Prokopec, and R. Woodard, J. Cosmol. Astropart. Phys. 05 (2009) 003.
A. A. Starobinsky and J. Yokoyama, Phys. Rev. D 50, 6357 (1994).
A. Vilenkin and L. Ford, Phys. Rev. D 26, 1231 (1982).
L. Ford and L. Parker, Phys. Rev. D 16, 245 (1977).
N. Tsamis and R. Woodard, Classical Quantum Gravity 20, 5205 (2003).
P. Ade et al. (Planck Collaboration), Astron. Astrophys. 571, A1 (2014).
E. Kahya, V. Onemli, and R. Woodard, Phys. Rev. D 81, 023508 (2010).
N. Tsamis and R. Woodard, Ann. Phys. (N.Y.) 253, 1 (1997).
N. Tsamis and R. Woodard, Nucl. Phys. B474, 235 (1996).
W. Suen and P. Anderson, Phys. Rev. D 35, 2940 (1987).
T. S. Koivisto and T. Prokopec, Phys. Rev. D 83, 044015 (2011).
T. Janssen and T. Prokopec, Classical Quantum Gravity 25, 055007 (2008).
J. F. Koksma and T. Prokopec, Phys. Rev. D 78, 023508 (2008).
T. Prokopec, O. Tornkvist, and R. P. Woodard, Phys. Rev. Lett. 89, 101301 (2002).
T. Prokopec, O. Tornkvist, and R. Woodard, Ann. Phys. (Amsterdam) 303, 251 (2003).
N. D. Birrell and P. C. W Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).
S. Weinberg, Phys. Rev. D 83, 063508 (2011).
F. Albareti, J. Cembranos, and A. Maroto, Phys. Rev. D 90, 123509 (2015).
H. Sheikhahmadi, A. Aghamohammadi, and K. Saaidi, arXiv:1407.0125.
D. Capper and M. Duff, Nuovo Cimento A 23, 173 (1974).
M. Duff, Nucl. Phys. B125, 334 (1977).