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相关论文: Leading all-loop quantum contribution to the effec…

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We study in detail the power spectra of scalar and tensor perturbations generated during inflation in loop quantum cosmology (LQC). After clarifying in a novel quantitative way how inverse-volume corrections arise in inhomogeneous settings,…

广义相对论与量子宇宙学 · 物理学 2015-03-19 Martin Bojowald , Gianluca Calcagni , Shinji Tsujikawa

The RG equation for the effective potential in the leading log (LL) approximation is constructed which is valid for an arbitrary scalar field theory in 4 dimensions. The solution to this equation sums up the leading $\log\phi$ contributions…

高能物理 - 理论 · 物理学 2023-05-17 D. I. Kazakov , R. M. Iakhibbaev , D. M. Tolkachev

We study inflation for a quantum scalar electrodynamics model in curved space-time and for higher-derivative quantum gravity (QG) coupled with scalar electrodynamics. The corresponding renormalization-group (RG) improved potential is…

高能物理 - 理论 · 物理学 2017-03-15 Ratbay Myrzakulov , Sergei Odintsov , Lorenzo Sebastiani

We study loop corrections in the effective field theory of inflation with imaginary speed of sound, which has been shown to provide an effective description of multi-field inflationary models characterized by strongly non-geodesic motion…

高能物理 - 理论 · 物理学 2025-11-14 Sebastian Garcia-Saenz , Yizhou Lu , Sébastien Renaux-Petel

We examine the quantum loop effects on the single-field inflationary models in a spatially flat Friedmann-Robertson-Walker (FRW) cosmological space-time with a general self-interacting scalar field potential, which is modeled in terms of…

广义相对论与量子宇宙学 · 物理学 2020-02-05 Wei-Can Syu , Da-Shin Lee , Kin-Wang Ng

We study inflation in scalar-tensor perturbative quantum gravity driven by a one-loop effective potential. We consider effective potentials generated by three models. The first model describes a single scalar field with a non-vanishing…

广义相对论与量子宇宙学 · 物理学 2024-07-18 A. Arbuzov , D. Kuznetsov , B. Latosh , V. Shmidt

We derive recurrence relations for leading logarithmic all-loop quantum corrections in the case of $SO(N)$ symmetric scalar theory with an arbitrary potential in curved spacetime. On this basis, a system of renormalisation group (RG)…

高能物理 - 理论 · 物理学 2026-04-23 V. A. Filippov , R. M. Iakhibbaev , D. M. Tolkachev

The slow-roll approximation is an analytical approach to study dynamical properties of the inflationary universe. In this article, systematic construction of the slow-roll expansion for effective loop quantum cosmology is presented. The…

广义相对论与量子宇宙学 · 物理学 2017-02-01 Joanna Luc , Jakub Mielczarek

We use the power-counting formalism of effective field theory to study the size of loop corrections in theories of slow-roll inflation, with the aim of more precisely identifying the limits of validity of the usual classical inflationary…

高能物理 - 唯象学 · 物理学 2009-10-17 C. P. Burgess , Hyun Min Lee , Michael Trott

We study slow-roll inflation driven by a scalar field non-minimally coupled to gravity within the effective framework of Loop Quantum Cosmology (LQC), including inverse-volume corrections. We consider two physically motivated classes of…

广义相对论与量子宇宙学 · 物理学 2026-03-05 Rudranil Roy , Giovanni Otalora , Joel Saavedra , Salvatore Capozziello

In loop quantum gravity, modifications to the geometrical density cause a self-interacting scalar field to accelerate away from a minimum of its potential. In principle, this mechanism can generate the conditions that subsequently lead to…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Martin Bojowald , James E. Lidsey , David J. Mulryne , Parampreet Singh , Reza Tavakol

In loop quantum cosmology, the universe avoids a big bang singularity and undergoes an early and short super-inflation phase. During super-inflation, non-perturbative quantum corrections to the dynamics drive an inflaton field up its…

天体物理学 · 物理学 2011-02-23 Shinji Tsujikawa , Parampreet Singh , Roy Maartens

The method of the calculation of effective potential (in linear curvature approximation and at any loop) in massless gauge theory in curved space- time by the direct solution of RG equation is given.The closed expression for two-loop…

广义相对论与量子宇宙学 · 物理学 2016-08-31 S. D. Odintsov

Precise cosmological data from WMAP and forthcoming CMB experiments motivate the study of the quantum corrections to the slowroll inflationary parameters.We find the quantum (loop) corrections to the equations of motion of the classical…

天体物理学 · 物理学 2009-11-10 D. Boyanovsky , H. J. de Vega , N. G. Sanchez

We first derive the primordial power spectra, spectral indices and runnings of both scalar and tensor perturbations of a flat inflationary universe to the second-order approximations of the slow-roll parameters, in the framework of loop…

广义相对论与量子宇宙学 · 物理学 2016-03-25 Tao Zhu , Anzhong Wang , Klaus Kirsten , Gerald Cleaver , Qin Sheng , Qiang Wu

Within a perturbative cosmological regime of loop quantum gravity corrections to effective constraints are computed. This takes into account all inhomogeneous degrees of freedom relevant for scalar metric modes around flat space and results…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Martin Bojowald , Hector Hernandez , Mikhail Kagan , Aureliano Skirzewski

We consider Einstein-Gauss-Bonnet (EGB) inflationary models using the effective potential approach. We present evolution equations in the slow-roll regime using the effective potential and the tensor-to-scalar ratio. The choice of the…

广义相对论与量子宇宙学 · 物理学 2021-06-30 Ekaterina O. Pozdeeva

This Chapter provides an up to date, pedagogical review of some of the most relevant advances in loop quantum cosmology. We review the quantization of homogeneous cosmological models, their singularity resolution and the formulation of…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Ivan Agullo , Alejandro Corichi

In this paper we calculate the leading divergences of the effective potential for an arbitrary scalar theory on a curved spacetime background. Based on the recurrence relation between the leading poles following from the locality condition,…

高能物理 - 理论 · 物理学 2025-07-21 V. A. Filippov , R. M. Iakhibbaev , D. M. Tolkachev

Loop quantum cosmology (LQC) provides promising resolutions to the trans-Planckian issue and initial singularity arising in the inflationary models of general relativity. In general, due to different quantization approaches, LQC involves…

广义相对论与量子宇宙学 · 物理学 2015-12-10 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng , Qiang Wu
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