Abstract
The extremely large value of the cosmological constant that is characteristic of particle physics and the inflation of the early universe are inherently interconnected. One can construct a superpotential that, after consideration for the leading effects due to supergravity, produces a flat potential of inflaton with a constant density of energy V = Λ4. The introduction of relatively small quantum loop corrections to the parameters of this superpotential naturally leads to a dynamical instability taking the form of an inflationary regime of relaxation of the cosmological constant. This pattern is phenomenologically consistent with observational data at Λ ∼ 1016 GeV.
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References
S. Weinberg, Rev. Mod. Phys. B 61, 1 (1989).
A. H. Guth, Phys. Rev. D 23, 347 (1981).
A. D. Linde, Phys. Lett. B 108, 389 (1982).
A. Albrecht and P. J. Steinhard, Phys. Rev. Lett. 48, 1220 (1982).
A. D. Linde, Phys. Lett. B 129, 177 (1983).
A. Linde, Lect. Notes Phys. 738, 1 (2008).
J. Dunkley et al. (WMAP Collab.), Astrophys. J. 180(Suppl.), 306 (2009).
E. Komatsu et al. (WMAP Collab.), Astrophys. J. 180(Suppl.), 330 (2009).
E. Komatsu et al. (WMAP Collab.), Astrophys. J. Suppl. 192, 18 (2011).
W. J. Percival et al., Mon. Not. R. Astron. Soc. 381, 1053 (2007).
A. G. Riess et al. (Supernova Search Team Collab.), Astrophys. J. 607, 665 (2004).
A. G. Riess et al., Astrophys. J. 659, 98 (2007).
P. Astier et al. (The SNLS Collab.), Astron. Astrophys. 447, 31 (2006).
W. M. Wood-Vasey et al. (ESSENCE Collab.), Astrophys. J 666, 694 (2007).
I. L. Shapiro and J. Sola, Phys. Lett. B 475, 236 (2000).
I. L. Shapiro and J. Sola, J. High Energy Phys. 0202, 006 (2002).
B. Guberina, R. Horvat, and H. Stefancic, Phys. Rev. D 67, 083001 (2003).
I. L. Shapiro, J. Sola, and H. Stefancic, JCAP 0501, 012 (2005); hep-ph/0410095.
N. Bilic et al., Phys. Lett. B 657, 232 (2007).
J. Sola, “Dark Energy: A Quantum Fossil From the Inflationary Universe?” hep-th/0710.4151.
I. L. Shapiro and J. Sola, J. Phys. A 40, 6583 (2007).
I. L. Shapiro and J. Sola, “On the Possible Running of the Cosmological ‘Constant’,” hep-th/0910.4925.
F. Bauer, J. Sola, and H. Stefancic, Phys. Lett. B 678, 427 (2009).
S. Weinberg, “Critical Phenomena for Field Theorists,” in Understanding the Fundamental Constituents of Matter, Ed. by A. Zichichi (Plenum Press, New York, 1977).
S. Weinberg, “Asymptotically Safe Inflation,” hep-th/0911.3165.
G. Chalmers, Class. Quant. Grav. 19, L193 (2002).
M. McGuigan, “Cosmological Constant Seesaw in Quantum Cosmology,” hep-th/0602112; “Cosmological Constant Seesaw in String/M-Theory,” hep-th/0604108.
V. V. Kiselev and S. A. Timofeev, Phys. Rev. D 77, 063518 (2008).
V. V. Kiselev and S. A. Timofeev, “Natural Scale of Cosmological Constant in Seesaw Mechanism with Broken SUSY,” hep-th/0710.1685.
V. V. Kiselev and S. A. Timofeev, “Properties of Potential Modelling Three Benchmarks: The Cosmological Constant, Inflation and Three Generations,” hep-ph/1004.4112.
K. Enqvist, S. Hannestad, and M. S. Sloth, Phys. Rev. Lett. 99, 031301 (2007).
T. Banks, “Cosmological Breaking of Supersymmetry or Little Lambda goes Back to the Future. II,” hep-th/0007146.
T. Banks, “Heretics of the False Vacuum: Gravitational Effects on and of Vacuum Decay. II,” hep-th/0211160.
A. Mazumdar and J. Rocher, “Particle Physics Models of Inflation and Curvaton Scenarios,” hep-ph/1001.0993.
R. Allahverdi et al., Phys. Rev. Lett. 97, 191304 (2006).
R. Allahverdi, A. Kusenko, and A. Mazumdar, JCAP 0707, 018 (2007).
R. Allahverdi et al., JCAP 0706, 019 (2007).
A. O. Barvinsky and A. Y. Kamenshchik, Phys. Lett. B 332, 270 (1994).
F. L. Bezrukov and M. Shaposhnikov, Phys. Lett. B 659, 703 (2008).
A. De Simone, M. P. Hertzberg, and F. Wilczek, “Running Inflation in the Standard Model,” hep-ph/0812.4946.
A. O. Barvinsky et al., “Asymptotic Freedom in Inflationary Cosmology with a Non-Minimally Coupled Higgs Field,” hep-ph/0904.1698.
F. Bezrukov and M. Shaposhnikov, “Standard Model Higgs Boson Mass from Inflation: Two Loop Analysis,” hep-ph/0904.1537.
C. P. Burgess, H. M. Lee, and M. Trott, “Power-counting and the Validity of the Classical Approximation During Inflation,” hep-ph/0902.4465.
J. L. F. Barbon and J. R. Espinosa, “On the Naturalness of Higgs Inflation,” hep-ph/0903.0355.
J. L. Cervantes-Cota and H. Dehnen, Nucl. Phys. B 442, 391 (1995).
J. L. Cervantes-Cota and H. Dehnen, Phys. Rev. D 51, 395 (1996).
A. O. Barvinsky et al., “Higgs Boson, Renormalization Group, and Cosmology,” hep-ph/0910.1041.
V. V. Kiselev and S. A. Timofeev, “Decoupling of Higgs Boson from the Inflationary Stage of Universe Evolution,” gr-qc/0906.4191.
V. V. Kiselev and S. A. Timofeev, Phys. At. Nucl. 74, 778 (2011).
V. V. Kiselev and S. A. Timofeev, “Cosmological Constraint on the Mass of Higgs Boson in the Standard Model,” in Proceedings of the ICHEP2010 (Paris, 2010), p. 454.
A. B. Arbuzov et al., “Higgs Particle Mass in Cosmology,” hep-ph/0705.4672.
M. Kawasaki, M. Yamaguchi, and T. Yanagida, Phys. Rev. Lett. 85, 3572 (2000).
S. Kachru et al., Phys. Rev. D 68, 046005 (2003).
S. Weinberg, The Quantum Theory of Fields, Vol. 3: Supersymmetry (Cambridge Univ. Press, Cambridge, 2000).
V. Pervushin and D. Proskurin, Grav. Cosmol. Suppl. 8N1, 161 (2002).
V. V. Kiselev and S. A. Timofeev, Gen. Rel. Grav. 42, 183 (2010).
L. A. Urena-Lopez and M. J. Reyes-Ibarra, Int. J. Mod. Phys. D 18, 621 (2009).
V. V. Kiselev and S. A. Timofeev, “Quasi-Attractor Dynamics of λϕ4-Inflation,” gr-qc/0801.2453.
A. A. Andrianov et al., Phys. Lett. B 651, 306 (2007).
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Original Russian Text © V.V. Kiselev, S.A. Timofeev, 2012, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2012, No. 2 (172), pp. 179–209.
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Kiselev, V.V., Timofeev, S.A. Cosmological bootstrap. Phys. Part. Nuclei Lett. 9, 111–128 (2012). https://doi.org/10.1134/S1547477112020100
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DOI: https://doi.org/10.1134/S1547477112020100