[1] |
Planck Collaboration; Ade, P. A. R., Planck 2013 results. XXII. Constraints on inflation, Astron. Astrophys., 571, A22 (2014) · doi:10.1051/0004-6361/201321569 |
[2] |
Starobinsky, Alexei A.; Khalatnikov, I. M.; Mineev, V. P., A New Type of Isotropic Cosmological Models Without Singularity, Phys. Lett. B, 91, 99-102 (1980) · Zbl 1371.83222 · doi:10.1016/0370-2693(80)90670-X |
[3] |
Isidori, Gino; Rychkov, Vyacheslav S.; Strumia, Alessandro; Tetradis, Nikolaos, Gravitational corrections to standard model vacuum decay, Phys. Rev. D, 77 (2008) · doi:10.1103/PhysRevD.77.025034 |
[4] |
Fairbairn, Malcolm; Grothaus, Philipp; Hogan, Robert, The Problem with False Vacuum Higgs Inflation, JCAP, 06 (2014) · doi:10.1088/1475-7516/2014/06/039 |
[5] |
Hamada, Yuta; Kawai, Hikaru; Oda, Kin-ya, Minimal Higgs inflation, Prog. Theor. Exp. Phys., 2014 (2014) · doi:10.1093/ptep/ptt116 |
[6] |
Bezrukov, Fedor L.; Shaposhnikov, Mikhail, The Standard Model Higgs boson as the inflaton, Phys. Lett. B, 659, 703-706 (2008) · doi:10.1016/j.physletb.2007.11.072 |
[7] |
Steinwachs, Christian F.; De Bianchi, Silvia; Kiefer, Claus, Higgs field in cosmology, Fundam. Theor. Phys., 199, 253-287 (2020) · doi:10.1007/978-3-030-51197-5_11 |
[8] |
Bezrukov, F.; Shaposhnikov, M., Standard Model Higgs boson mass from inflation: Two loop analysis, JHEP, 07, 089 (2009) · doi:10.1088/1126-6708/2009/07/089 |
[9] |
Burgess, C. P.; Lee, Hyun Min; Trott, Michael, Comment on Higgs Inflation and Naturalness, JHEP, 07, 007 (2010) · Zbl 1290.81198 · doi:10.1007/JHEP07(2010)007 |
[10] |
Starobinsky, Alexei A., Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations, Phys. Lett. B, 117, 175-178 (1982) · doi:10.1016/0370-2693(82)90541-X |
[11] |
Starobinsky, Alexei A., STOCHASTIC DE SITTER (INFLATIONARY) STAGE IN THE EARLY UNIVERSE, Lect. Notes Phys., 246, 107-126 (1986) · doi:10.1007/3-540-16452-9_6 |
[12] |
Nambu, Yasusada; Sasaki, Misao, Stochastic Stage of an Inflationary Universe Model, Phys. Lett. B, 205, 441-446 (1988) · doi:10.1016/0370-2693(88)90974-4 |
[13] |
P.J. Steinhardt, Natural inflation, in The Very Early Universe, Cambridge University Press, Cambridge U.K. (1983), pp. 251-266. |
[14] |
Vilenkin, Alexander, The Birth of Inflationary Universes, Phys. Rev. D, 27, 2848 (1983) · doi:10.1103/PhysRevD.27.2848 |
[15] |
Linde, Andrei D., Eternally Existing Selfreproducing Chaotic Inflationary Universe, Phys. Lett. B, 175, 395-400 (1986) · doi:10.1016/0370-2693(86)90611-8 |
[16] |
Vilenkin, Alexander, Quantum Fluctuations in the New Inflationary Universe, Nucl. Phys. B, 226, 527-546 (1983) · doi:10.1016/0550-3213(83)90208-0 |
[17] |
Calzetta, Esteban; Hu, B. L., Noise and fluctuations in semiclassical gravity, Phys. Rev. D, 49, 6636-6655 (1994) · doi:10.1103/PhysRevD.49.6636 |
[18] |
Morikawa, Masahiro, Dissipation and Fluctuation of Quantum Fields in Expanding Universes, Phys. Rev. D, 42, 1027-1034 (1990) · doi:10.1103/PhysRevD.42.1027 |
[19] |
Perreault Levasseur, Laurence; McDonough, Evan, Backreaction and Stochastic Effects in Single Field Inflation, Phys. Rev. D, 91 (2015) · doi:10.1103/PhysRevD.91.063513 |
[20] |
Bojowald, Martin; Brahma, Suddhasattwa; Crowe, Sean; Ding, Ding; McCracken, Joseph, Quantum Higgs Inflation, Phys. Lett. B, 816 (2021) · Zbl 07408666 · doi:10.1016/j.physletb.2021.136193 |
[21] |
Jackiw, R.; Kerman, A., Time Dependent Variational Principle and the Effective Action, Phys. Lett. A, 71, 158-162 (1979) · doi:10.1016/0375-9601(79)90151-8 |
[22] |
F. Arickx, J. Broeckhove, W. Coene and P. van Leuven, Gaussian wave-packet dynamics, Int. J. Quant. Chem. Quant. Chem. Symp.20 (1986) 471. · doi:10.1002/qua.560300741 |
[23] |
R.A. Jalabert and H.M. Pastawski, Environment-independent decoherence rate in classically chaotic systems, Phys. Rev. Lett.86 (2001) 2490. · doi:10.1103/PhysRevLett.86.2490 |
[24] |
O. Prezhdo, Quantized Hamiltonian dynamics, Theor. Chem. Acc.116 (2006) 206. · doi:10.1007/s00214-005-0032-x |
[25] |
Vachaspati, Tanmay; Zahariade, George, Classical-quantum correspondence and backreaction, Phys. Rev. D, 98 (2018) · doi:10.1103/PhysRevD.98.065002 |
[26] |
Mukhopadhyay, Mainak; Vachaspati, Tanmay, Rolling classical scalar field in a linear potential coupled to a quantum field, Phys. Rev. D, 100 (2019) · doi:10.1103/PhysRevD.100.096018 |
[27] |
Baytas, Bekir; Bojowald, Martin; Crowe, Sean, Faithful realizations of semiclassical truncations, Annals Phys., 420 (2020) · Zbl 1451.81394 · doi:10.1016/j.aop.2020.168247 |
[28] |
Baytaş, Bekir; Bojowald, Martin; Crowe, Sean, Effective potentials from semiclassical truncations, Phys. Rev. A, 99 (2019) · Zbl 1451.81394 · doi:10.1103/PhysRevA.99.042114 |
[29] |
Bojowald, Martin; Skirzewski, Aureliano, Effective equations of motion for quantum systems, Rev. Math. Phys., 18, 713-746 (2006) · Zbl 1124.82010 · doi:10.1142/S0129055X06002772 |
[30] |
Bojowald, Martin; Skirzewski, Aureliano; Borowiec, Andrzej, Quantum gravity and higher curvature actions, eConf, C0602061, 03 (2006) · Zbl 1168.83308 · doi:10.1142/S0219887807001941 |
[31] |
Bojowald, Martin; Brizuela, David; Hernandez, Hector H.; Koop, Michael J.; Morales-Técotl, Hugo A., High-order quantum back-reaction and quantum cosmology with a positive cosmological constant, Phys. Rev. D, 84 (2011) · doi:10.1103/PhysRevD.84.043514 |
[32] |
V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer (1997). |
[33] |
A. Cannas da Silva and A. Weinstein, Geometric models for noncommutative algebras, in Berkeley Mathematics Lectures10, American Mathematical Society, Providence RI U.S.A. (1999). · Zbl 1135.58300 |
[34] |
O. Prezhdo and Y.V. Pereverzev, Quantized Hamilton dynamics, J. Chem. Phys.113 (2000) 6557. · doi:10.1063/1.1290288 |
[35] |
C. Kühn, Moment Closure — A Brief Review, in Understanding Complex Systems, Springer, Cham Switzerland (2016), pp. 253-271. · doi:10.1007/978-3-319-28028-8_13 |
[36] |
Bojowald, Martin; Brahma, Suddhasattwa, Minisuperspace models as infrared contributions, Phys. Rev. D, 93 (2016) · doi:10.1103/PhysRevD.93.125001 |
[37] |
Bojowald, Martin, The BKL scenario, infrared renormalization, and quantum cosmology, JCAP, 01 (2019) · Zbl 1542.83003 · doi:10.1088/1475-7516/2019/01/026 |
[38] |
Coleman, Sidney R.; Weinberg, Erick J., Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys. Rev. D, 7, 1888-1910 (1973) · doi:10.1103/PhysRevD.7.1888 |
[39] |
Bojowald, Martin; Brahma, Suddhasattwa, Canonical derivation of effective potentials (2014) · Zbl 1342.83078 |
[40] |
Bojowald, Martin; Brahma, Suddhasattwa; Nelson, Elliot, Higher time derivatives in effective equations of canonical quantum systems, Phys. Rev. D, 86 (2012) · doi:10.1103/PhysRevD.86.105004 |
[41] |
F. Cametti, G. Jona-Lasinio, C. Presilla and F. Toninelli, Comparison between quantum and classical dynamics in the effective action formalism, in proceedings of the International School of Physics “Enrico Fermi”, Course CXLIII, Varenna, Italy, 20-30 July 1999, IOS Press, Amsterdam The Netherlads (2000), pp. 431-448 [9910065] [Inspire]. · Zbl 1044.81562 |
[42] |
Linde, Andrei D., Hybrid inflation, Phys. Rev. D, 49, 748-754 (1994) · doi:10.1103/PhysRevD.49.748 |
[43] |
Martin, Jerome; Brandenberger, Robert H., The TransPlanckian problem of inflationary cosmology, Phys. Rev. D, 63 (2001) · doi:10.1103/PhysRevD.63.123501 |
[44] |
Brandenberger, Robert H.; Martin, Jerome, The Robustness of inflation to changes in superPlanck scale physics, Mod. Phys. Lett. A, 16, 999-1006 (2001) · Zbl 1138.83379 · doi:10.1142/S0217732301004170 |
[45] |
Niemeyer, Jens C., Inflation with a Planck scale frequency cutoff, Phys. Rev. D, 63 (2001) · doi:10.1103/PhysRevD.63.123502 |
[46] |
Kodama, Hideo; Kohri, Kazunori; Nakayama, Kazunori, On the waterfall behavior in hybrid inflation, Prog. Theor. Phys., 126, 331-350 (2011) · Zbl 1230.83108 · doi:10.1143/PTP.126.331 |
[47] |
Clesse, Sebastien, Hybrid inflation along waterfall trajectories, Phys. Rev. D, 83 (2011) · doi:10.1103/PhysRevD.83.063518 |
[48] |
Stewart, Ewan D., Mutated hybrid inflation, Phys. Lett. B, 345, 414-415 (1995) · doi:10.1016/0370-2693(94)01646-T |
[49] |
Lyth, David H.; Stewart, Ewan D., More varieties of hybrid inflation, Phys. Rev. D, 54, 7186-7190 (1996) · doi:10.1103/PhysRevD.54.7186 |
[50] |
Kohri, Kazunori; Lin, Chia-Min; Lyth, David H., More hilltop inflation models, JCAP, 12 (2007) · doi:10.1088/1475-7516/2007/12/004 |
[51] |
Jeannerot, Rachel; Postma, Marieke, Confronting hybrid inflation in supergravity with CMB data, JHEP, 05, 071 (2005) · doi:10.1088/1126-6708/2005/05/071 |
[52] |
Vafa, Cumrun, The String landscape and the swampland (2005) · Zbl 1082.81071 |
[53] |
Palti, Eran, The Swampland: Introduction and Review, Fortsch. Phys., 67 (2019) · Zbl 1427.81108 · doi:10.1002/prop.201900037 |
[54] |
Ooguri, Hirosi; Palti, Eran; Shiu, Gary; Vafa, Cumrun, Distance and de Sitter Conjectures on the Swampland, Phys. Lett. B, 788, 180-184 (2019) · doi:10.1016/j.physletb.2018.11.018 |
[55] |
Garg, Sumit K.; Krishnan, Chethan, Bounds on Slow Roll and the de Sitter Swampland, JHEP, 11, 075 (2019) · doi:10.1007/JHEP11(2019)075 |
[56] |
Brahma, Suddhasattwa; Shandera, Sarah, Stochastic eternal inflation is in the swampland, JHEP, 11, 016 (2019) · Zbl 1429.83105 · doi:10.1007/JHEP11(2019)016 |
[57] |
Rudelius, Tom, Conditions for (No) Eternal Inflation, JCAP, 08 (2019) · Zbl 1541.83186 · doi:10.1088/1475-7516/2019/08/009 |
[58] |
Bedroya, Alek; Vafa, Cumrun, Trans-Planckian Censorship and the Swampland, JHEP, 09, 123 (2020) · Zbl 1454.85006 · doi:10.1007/JHEP09(2020)123 |
[59] |
Bedroya, Alek; Brandenberger, Robert; Loverde, Marilena; Vafa, Cumrun, Trans-Planckian Censorship and Inflationary Cosmology, Phys. Rev. D, 101 (2020) · Zbl 1454.85006 · doi:10.1103/PhysRevD.101.103502 |
[60] |
Brahma, Suddhasattwa; Brandenberger, Robert; Yeom, Dong-Han, Swampland, Trans-Planckian Censorship and Fine-Tuning Problem for Inflation: Tunnelling Wavefunction to the Rescue, JCAP, 10 (2020) · Zbl 1494.83007 · doi:10.1088/1475-7516/2020/10/037 |
[61] |
Kaloper, Nemanja; König, Morgane; Lawrence, Albion; Scargill, James H. C., On hybrid monodromy inflation — hic sunt dracones, JCAP, 03 (2021) · Zbl 1484.83137 · doi:10.1088/1475-7516/2021/03/024 |
[62] |
Lehners, Jean-Luc; Wilson-Ewing, Edward, Running of the scalar spectral index in bouncing cosmologies, JCAP, 10 (2015) · doi:10.1088/1475-7516/2015/10/038 |