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We perform the resummation of the infrared logarithms in the inflationary universe. Applying the renormalization group, we derive the stochastic equations as the effective theory at the horizon. We focus on the conformal zero mode to…

High Energy Physics - Theory · Physics 2021-12-28 Yoshihisa Kitazawa

Several new results regarding the quantum cosmology of the quadratic gravity theory derived from the heterotic string effective action are presented. After describing techniques for solving the Wheeler-De Witt equation with appropriate…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Simon Davis , Hugh Luckock

According to the `Cosmological Central Dogma', de Sitter space can be viewed as a quantum mechanical system with a finite number of degrees of freedom, set by the horizon area. We use this assumption together with the Wheeler-DeWitt (WDW)…

High Energy Physics - Theory · Physics 2025-12-01 Bjoern Hassfeld , Arthur Hebecker , Manfred Salmhofer , Jonah Cedric Strauss , Johannes Walcher

The anisotropic Bianchi type I in multi-scalar field cosmology is studied with a particular potential of the form $\rm V= V_0 e^{-\left[\lambda_1 \phi_1 + \cdots + \lambda_n \phi_n \right]}\,,$ which emerges as a condition between the time…

General Relativity and Quantum Cosmology · Physics 2019-04-02 j. Socorro , Omar E. Núñez , Rafael Hernández-Jiménez

We study a semiclassical model of the mixmaster universe. We first derive the quantum model and then introduce its semiclassical approximation. We employ a general integral quantization method that respects the symmetries of the model given…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Herve Bergeron , Jaime de Cabo Martin , Jean-Pierre Gazeau , Przemyslaw Malkiewicz

It is shown that the inflationary era in early universe is realized due to the effect of backreaction of quantized matter fields. In fact we start by quantizing a free scalar field in the Friedmann-Robertson-Walker space-time, and the field…

High Energy Physics - Theory · Physics 2015-06-23 Yoshinobu Habara , Hikaru Kawai , Masao Ninomiya

In this paper, we study the classical limit and unitary evolution of quantum cosmology by applying the Weyl--Wigner--Groenewold--Moyal formalism of deformation quantization to quantum cosmology of a homogeneous and isotropic universe with…

General Relativity and Quantum Cosmology · Physics 2020-11-06 S. Jalalzadeh , M. Rashki , S. Abarghouei Nejad

We consider higher-derivative quantum gravity where renormalization group improved effective action beyond one-loop approximation is derived. Using this effective action, the quantum-corrected FRW equations are analyzed. De Sitter universe…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Ratbay Myrzakulov , Sergei Odintsov , Lorenzo Sebastiani

The behaviour of quantum metric perturbations produced during inflation is considered at the stage after the second Hubble radius crossing. It is shown that the classical correlation between amplitude and momentum of a perturbation mode,…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Claus Kiefer , Julien Lesgourgues , David Polarski , Alexei A. Starobinsky

Developing our understanding of how correlations evolve during inflation is crucial if we are to extract information about the early Universe from our late-time observables. To that end, we revisit the time evolution of scalar field…

High Energy Physics - Theory · Physics 2021-02-16 Sebastian Cespedes , Anne-Christine Davis , Scott Melville

The mechanism of the initial inflation of the universe is based on gravitationally coupled scalar fields $\phi$. Various scenarios are distinguished by the choice of an {\it effective self--interaction potential} $U(\phi)$ which simulates a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Franz E. Schunck , Eckehard W. Mielke

We employ Riesz's fractional derivative into the Wheeler--DeWitt equation for a closed de Sitter geometry and obtain the no-boundary and tunneling wavefunctions. From the corresponding probability distributions, the event horizon of the…

General Relativity and Quantum Cosmology · Physics 2022-07-05 S. Jalalzadeh , E. W. Oliveira Costa , P. V. Moniz

We consider a universe with a bulk viscous cosmic fluid, in a flat Friedmann-Lemaitre-Robertson-Walker geometry. We derive the conditions for the existence of inflation, and those which at the same time prevent the occurrence of…

General Relativity and Quantum Cosmology · Physics 2017-04-05 I. Brevik , E. Elizalde , V. V. Obukhov , A. V. Timoshkin

In this work, we revisit the dynamics of pre-inflationary universe with a family of $\alpha-$attractor potentials, in the framework of loop quantum cosmology, in which the big bang singularity is generically resolved purely with quantum…

General Relativity and Quantum Cosmology · Physics 2020-09-22 M. Shahalam , Mudhahir Al Ajmi , R. Myrzakulov , Anzhong Wang

In the investigation of the evolution of cosmological perturbations in inflationary universe models the behavior of perturbations during the reheating stage is the most unclear point. In particular in the early reheating phase in which a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Hideo Kodama , Takashi Hamazaki

The paradigm of the inflationary universe provides a possible explanation for several observed cosmological properties. In order for such solutions to be successful, the universe must convert the energy stored in the inflaton potential into…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-01 Leia Barrowes , Fred C. Adams , Anthony M. Bloch , John T. Giblin, , Scott Watson

We study a massive inflaton minimally coupled to the FRW Universe using the semiclassical gravity derived from canonical quantum gravity. It is found that the semiclassical quantum gravity leads to the power-law expansion $t^{2/3}$ in an…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jung Kon Kim , Sang Pyo Kim

We analyze a quantized toy model of a universe undergoing eternal inflation using a quantum-field-theoretical formulation of the Wheeler-DeWitt equation. This so-called third quantization method leads to the picture that the eternally…

General Relativity and Quantum Cosmology · Physics 2018-03-22 João Morais , Mariam Bouhmadi-López , Manuel Kraemer , Salvador Robles-Pérez

We clarify classical inflaton models by considering them as effective field theories `a la Ginzburg-Landau. In this approach, the WMAP statement excluding the pure phi^4 potential implies the presence of an inflaton mass term at the scale m…

Astrophysics · Physics 2009-11-10 D. Boyanovsky , H. J. de Vega , N. G. Sanchez

We study some gravitational instanton solutions that offer a natural realization of the spontaneous creation of inflationary universes in the brane world context in string theory. Decoherence due to couplings of higher (perturbative) modes…

High Energy Physics - Theory · Physics 2009-11-10 Hassan Firouzjahi , Saswat Sarangi , S. -H. Henry Tye