Abstract
We propose a class of scalar models that, once coupled to gravity, lead to cosmologies that smoothly and stably connect an inflationary quasi-de Sitter universe to a low, or even zero-curvature, maximally symmetric spacetime in the asymptotic past, strongly violating the null energy condition \( \left(\overset{\cdot }{H}\gg {H}^2\right) \) at intermediate times. The models are deformations of the conformal galileon lagrangian and are therefore based on symmetries, both exact and approximate, that ensure the quantum robustness of the whole picture. The resulting cosmological backgrounds can be viewed as regularized extensions of the galilean genesis scenario, or, equivalently, as ‘early-time-complete’ realizations of inflation. The late-time inflationary dynamics possesses phenomenologically interesting properties: it can produce a large tensor-to-scalar ratio within the regime of validity of the effective field theory and can lead to sizeable equilateral nongaussianities.
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References
S. Dubovsky, T. Gregoire, A. Nicolis and R. Rattazzi, Null energy condition and superluminal propagation, JHEP 03 (2006) 025 [hep-th/0512260] [INSPIRE].
S.D.H. Hsu, A. Jenkins and M.B. Wise, Gradient instability for ω < −1, Phys. Lett. B 597 (2004) 270 [astro-ph/0406043] [INSPIRE].
N. Arkani-Hamed, H.-C. Cheng, M.A. Luty and S. Mukohyama, Ghost condensation and a consistent infrared modification of gravity, JHEP 05 (2004) 074 [hep-th/0312099] [INSPIRE].
P. Creminelli, M.A. Luty, A. Nicolis and L. Senatore, Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies, JHEP 12 (2006) 080 [hep-th/0606090] [INSPIRE].
A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity, Phys. Rev. D 79 (2009) 064036 [arXiv:0811.2197] [INSPIRE].
M.A. Luty, M. Porrati and R. Rattazzi, Strong interactions and stability in the DGP model, JHEP 09 (2003) 029 [hep-th/0303116] [INSPIRE].
G.R. Dvali, G. Gabadadze and M. Porrati, 4-D gravity on a brane in 5-D Minkowski space, Phys. Lett. B 485 (2000) 208 [hep-th/0005016] [INSPIRE].
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action, Phys. Rev. D 82 (2010) 044020 [arXiv:1007.0443] [INSPIRE].
C. de Rham, G. Gabadadze and A.J. Tolley, Resummation of Massive Gravity, Phys. Rev. Lett. 106 (2011) 231101 [arXiv:1011.1232] [INSPIRE].
P. Creminelli, A. Nicolis and E. Trincherini, Galilean Genesis: An Alternative to inflation, JCAP 11 (2010) 021 [arXiv:1007.0027] [INSPIRE].
P. Creminelli, K. Hinterbichler, J. Khoury, A. Nicolis and E. Trincherini, Subluminal Galilean Genesis, JHEP 02 (2013) 006 [arXiv:1209.3768] [INSPIRE].
V.A. Rubakov, Harrison-Zeldovich spectrum from conformal invariance, JCAP 09 (2009) 030 [arXiv:0906.3693] [INSPIRE].
M. Osipov and V. Rubakov, Scalar tilt from broken conformal invariance, JETP Lett. 93 (2011) 52 [arXiv:1007.3417] [INSPIRE].
K. Hinterbichler and J. Khoury, The Pseudo-Conformal Universe: Scale Invariance from Spontaneous Breaking of Conformal Symmetry, JCAP 04 (2012) 023 [arXiv:1106.1428] [INSPIRE].
K. Hinterbichler, A. Joyce, J. Khoury and G.E.J. Miller, DBI Realizations of the Pseudo-Conformal Universe and Galilean Genesis Scenarios, JCAP 12 (2012) 030 [arXiv:1209.5742] [INSPIRE].
K. Hinterbichler, A. Joyce, J. Khoury and G.E.J. Miller, Dirac-Born-Infeld Genesis: An Improved Violation of the Null Energy Condition, Phys. Rev. Lett. 110 (2013) 241303 [arXiv:1212.3607] [INSPIRE].
BICEP2 collaboration, P.A.R. Ade et al., Detection of B-Mode Polarization at Degree Angular Scales by BICEP2, Phys. Rev. Lett. 112 (2014) 241101 [arXiv:1403.3985] [INSPIRE].
P. Creminelli, J. Gleyzes, J. Noreña and F. Vernizzi, Resilience of the standard predictions for primordial tensor modes, Phys. Rev. Lett. 113 (2014) 231301 [arXiv:1407.8439] [INSPIRE].
T. Kobayashi, M. Yamaguchi and J. Yokoyama, G-inflation: Inflation driven by the Galileon field, Phys. Rev. Lett. 105 (2010) 231302 [arXiv:1008.0603] [INSPIRE].
D.H. Lyth, What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?, Phys. Rev. Lett. 78 (1997) 1861 [hep-ph/9606387] [INSPIRE].
V.F. Mukhanov and A. Vikman, Enhancing the tensor-to-scalar ratio in simple inflation, JCAP 02 (2006) 004 [astro-ph/0512066] [INSPIRE].
N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, Ghost inflation, JCAP 04 (2004) 001 [hep-th/0312100] [INSPIRE].
L. Senatore, Tilted ghost inflation, Phys. Rev. D 71 (2005) 043512 [astro-ph/0406187] [INSPIRE].
M. Alishahiha, E. Silverstein and D. Tong, DBI in the sky, Phys. Rev. D 70 (2004) 123505 [hep-th/0404084] [INSPIRE].
V.A. Rubakov, Consistent null-energy-condition violation: Towards creating a universe in the laboratory, Phys. Rev. D 88 (2013) 044015 [arXiv:1305.2614] [INSPIRE].
C. Armendariz-Picon, T. Damour and V.F. Mukhanov, k-inflation, Phys. Lett. B 458 (1999) 209 [hep-th/9904075] [INSPIRE].
C. Deffayet, G. Esposito-Farese and A. Vikman, Covariant Galileon, Phys. Rev. D 79 (2009) 084003 [arXiv:0901.1314] [INSPIRE].
B. Elder, A. Joyce and J. Khoury, From Satisfying to Violating the Null Energy Condition, Phys. Rev. D 89 (2014) 044027 [arXiv:1311.5889] [INSPIRE].
S. Fubini, A New Approach to Conformal Invariant Field Theories, Nuovo Cim. A 34 (1976) 521 [INSPIRE].
A. Nicolis, R. Rattazzi and E. Trincherini, Energy’s and amplitudes’ positivity, JHEP 05 (2010) 095 [Erratum ibid. 1111 (2011) 128] [arXiv:0912.4258] [INSPIRE].
K. Enqvist and M.S. Sloth, Adiabatic CMB perturbations in pre-big bang string cosmology, Nucl. Phys. B 626 (2002) 395 [hep-ph/0109214] [INSPIRE].
D.H. Lyth and D. Wands, Generating the curvature perturbation without an inflaton, Phys. Lett. B 524 (2002) 5 [hep-ph/0110002] [INSPIRE].
G. Dvali, A. Gruzinov and M. Zaldarriaga, A new mechanism for generating density perturbations from inflation, Phys. Rev. D 69 (2004) 023505 [astro-ph/0303591] [INSPIRE].
C. Deffayet, O. Pujolàs, I. Sawicki and A. Vikman, Imperfect Dark Energy from Kinetic Gravity Braiding, JCAP 10 (2010) 026 [arXiv:1008.0048] [INSPIRE].
C. Cheung, P. Creminelli, A.L. Fitzpatrick, J. Kaplan and L. Senatore, The Effective Field Theory of Inflation, JHEP 03 (2008) 014 [arXiv:0709.0293] [INSPIRE].
N. Bartolo, M. Fasiello, S. Matarrese and A. Riotto, Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Bispectrum, JCAP 08 (2010) 008 [arXiv:1004.0893] [INSPIRE].
T. Kobayashi, M. Yamaguchi and J. Yokoyama, Primordial non-Gaussianity from G-inflation, Phys. Rev. D 83 (2011) 103524 [arXiv:1103.1740] [INSPIRE].
M.M. Ivanov and S. Sibiryakov, UV-extending Ghost Inflation, JCAP 05 (2014) 045 [arXiv:1402.4964] [INSPIRE].
J.M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models, JHEP 05 (2003) 013 [astro-ph/0210603] [INSPIRE].
R.L. Arnowitt, S. Deser and C.W. Misner, The dynamics of general relativity, Gen. Rel. Grav. 40 (2008) 1997 [gr-qc/0405109] [INSPIRE].
A.D. Linde and V.F. Mukhanov, NonGaussian isocurvature perturbations from inflation, Phys. Rev. D 56 (1997) 535 [astro-ph/9610219] [INSPIRE].
J. Garriga and V.F. Mukhanov, Perturbations in k-inflation, Phys. Lett. B 458 (1999) 219 [hep-th/9904176] [INSPIRE].
D. Baumann, D. Green and R.A. Porto, B-modes and the Nature of Inflation, arXiv:1407.2621 [INSPIRE].
S.L. Dubovsky and S.M. Sibiryakov, Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind, Phys. Lett. B 638 (2006) 509 [hep-th/0603158] [INSPIRE].
S.W. Hawking, The chronology protection conjecture, Phys. Rev. D 46 (1992) 603 [INSPIRE].
I. Sawicki and A. Vikman, Hidden Negative Energies in Strongly Accelerated Universes, Phys. Rev. D 87 (2013) 067301 [arXiv:1209.2961] [INSPIRE].
C. Burrage, C. de Rham, L. Heisenberg and A.J. Tolley, Chronology Protection in Galileon Models and Massive Gravity, JCAP 07 (2012) 004 [arXiv:1111.5549] [INSPIRE].
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Pirtskhalava, D., Santoni, L., Trincherini, E. et al. Inflation from Minkowski space. J. High Energ. Phys. 2014, 151 (2014). https://doi.org/10.1007/JHEP12(2014)151
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DOI: https://doi.org/10.1007/JHEP12(2014)151