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We investigate infrared dynamics of four-dimensional Einstein gravity in de Sitter space. We set up a general framework to investigate dynamical scaling relations in quantum/classical gravitational theories. The conformal mode dependence of…

High Energy Physics - Theory · Physics 2020-02-25 Hiroyuki Kitamoto , Yoshihisa Kitazawa , Takahiko Matsubara

It is widely believed that the leading secular loop corrections from quantum gravity can be subsumed into a coordinate redefinition. Hence the apparent infrared logarithm corrections to any quantity would be just the result of taking the…

General Relativity and Quantum Cosmology · Physics 2016-10-03 S. Basu , R. P. Woodard

We consider the production of gravitons in an inflationary cosmology by approximating each epoch of change in the equation of state as sudden, from which a simple analytic graviton mode function has been derived. We use this mode function…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Kin-Wang Ng

We consider a modified gravity framework for inflation by adding to the Einstein-Hilbert action a direct $f(\phi)T$ term, where $\phi$ is identified as the inflaton and $T$ is the trace of the energy-momentum tensor. The framework goes to…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Xinyi Zhang , Che-Yu Chen , Yakefu Reyimuaji

The leading quantum correction to the power spectrum of a gravitationally-coupled light scalar field is calculated, assuming that it is generated during a phase of single-field, slow-roll inflation.

Astrophysics · Physics 2010-02-09 David Seery

We investigate the inflation for the quartic hilltop model via a certain type of modified gravity. Precisely, we analyze the $F(\phi) T$ term in the Einstein's gravity to examine the quartic hilltop inflation model. $T$ is the trace of the…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Feyzollah Younesizadeh , Davoud Kamani

We explore the scenario that the observable universe emerged from the vicinity of a negative mass ring singularity, and all content of the universe travels at the same group velocity close to the speed of light on a geodesic trajectory…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Michael Zlotnikov

Based on the stochastic gravity, we study the loop corrections to the scalar and tensor perturbations during inflation. Since the loop corrections to scalar perturbations suffer infrared (IR) divergence, we consider the IR regularization to…

High Energy Physics - Theory · Physics 2010-01-11 Yuko Urakawa , Kei-ichi Maeda

We exploit a previous computation of the self-mass-squared from quantum gravity to include quantum corrections to the scalar evolution equation. The plane wave mode functions are shown to receive no significant one loop corrections at late…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. O. Kahya , R. P. Woodard

We consider the most general three point function for gravitational waves produced during a period of exactly de Sitter expansion. The de Sitter isometries constrain the possible shapes to only three: two preserving parity and one violating…

High Energy Physics - Theory · Physics 2011-09-13 Juan M. Maldacena , Guilherme L. Pimentel

This study employs the effective field theory approach to quantum gravity to investigate a non-Abelian gauge theory involving scalar particles coupled to gravity. The study demonstrates explicitly that the Slavnov-Taylor identities are…

High Energy Physics - Theory · Physics 2023-06-14 Huan Souza , L. Ibiapina Bevilaqua , A. C. Lehum

We evaluate the one-graviton loop contribution to the vacuum polarization on de Sitter background in a 1-parameter family of exact, de Sitter invariant gauges. Our result is computed using dimensional regularization and fully renormalized…

General Relativity and Quantum Cosmology · Physics 2015-09-17 D. Glavan , S. P. Miao , Tomislav Prokopec , R. P. Woodard

We compute the one- and two-loop corrected mode function of a massless minimally coupled scalar endowed with a quartic self-interaction in the locally de Sitter background of an inflating universe for a state which is released in…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-07 V. K. Onemli

We expand the Einstein-Hilbert action with a positive cosmological constant up to the fourth order in terms of gravity fluctuations, and then use the in-in formalism to calculate the four-point correlation function for gravitational waves,…

High Energy Physics - Theory · Physics 2015-07-07 Tian-Fu Fu , Qing-Guo Huang

We derive the first quantum gravitational corrections to the inflationary power spectra for a general single-field scalar-tensor theory which includes a non-minimal coupling to gravity, a non-standard scalar kinetic term and an arbitrary…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Christian F. Steinwachs , Matthijs L. van der Wild

The uniform asymptotic approximation method provides a powerful, systematically-improved, and error-controlled approach to construct accurate analytical approximate solutions of mode functions of perturbations of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-08 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng

In this paper, we show the equivalence between a classical static scalar field theory and the (closed) de Sitter cosmological model whose potential represents shape invariance property. Based on this equivalence, we calculate the one-loop…

General Relativity and Quantum Cosmology · Physics 2011-06-06 F. Darabi , S. Jalalzadeh

We investigate the behaviour of tensor fluctuations in Loop Quantum Cosmology, focusing on a class of scaling solutions which admit a near scale-invariant scalar field power spectrum. We obtain the spectral index of the gravitational field…

Astrophysics · Physics 2009-01-21 E. J. Copeland , D. J. Mulryne , N. J. Nunes , M. Shaeri

It is shown that the squeezed limit of inflationary expectation values follows from reparametrization invariance of the wavefunction of the universe. This translates into a constraint on the longitudinal modes of functional derivatives of…

High Energy Physics - Theory · Physics 2018-03-28 Guilherme L. Pimentel

We study the one-loop corrections in power spectrum of long gravitational waves induced from small scale modes in the models of single field inflation undergoing a phase of ultra-slow-roll (USR). We show that the spectrum of long tensor…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-05 Hassan Firouzjahi