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We discuss the impact of adiabatic renormalization on the power spectrum of scalar and tensor perturbations from inflation. We show that adiabatic regularization is ambiguous as it leads to very different results, for different adiabatic…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 Ruth Durrer , Giovanni Marozzi , Massimiliano Rinaldi

We investigate the effect of adiabatic regularization on both the tensor- and scalar-perturbation power spectra in \textit{nonminimally} coupled chaotic inflation. Similar to that of the \textit{minimally} coupled general single-field…

General Relativity and Quantum Cosmology · Physics 2016-12-20 Allan L. Alinea

Adiabatic subtraction is a popular method of renormalization of observables in quantum field theories on a curved spacetime. When applied to the computation of the power spectra of light ($m\ll H$) fields on de Sitter space with flat…

High Energy Physics - Theory · Physics 2023-07-12 Sofia P. Corbà , Lorenzo Sorbo

The regularization of the CMB power spectrum is an important issue of cosmology. Most approaches assume that there is no need to regularize the power spectrum, while Parker advocated the new regularization approach for the power spectrum in…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Yukari Nakanishi

In cosmic inflation, non-linearities of the curvature perturbation can induce backreaction to the background. To obtain observational predictions at non-linear order on the correct background, one has to redefine the background or introduce…

High Energy Physics - Theory · Physics 2025-04-28 Jason Kristiano , Jun'ichi Yokoyama

We introduce a new approach to renormalize physical quantities in curved space-time by adiabatic subtraction. We use a comoving infrared cut-off in defining the adiabatic counterpart of the physical quantity under consideration, building on…

General Relativity and Quantum Cosmology · Physics 2022-05-19 Chiara Animali , Pietro Conzinu , Giovanni Marozzi

We perform adiabatic regularization of power spectrum in nonminimally coupled general single-field inflation with varying speed of sound. The subtraction is performed within the framework of earlier study by Urakawa and Starobinsky dealing…

General Relativity and Quantum Cosmology · Physics 2018-03-15 Allan L. Alinea , Takahiro Kubota

We briefly review the need to perform renormalization of inflationary perturbations to properly work out the physical power spectra. We also summarize the basis of (momentum-space) renormalization in curved spacetime and address several…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Ivan Agullo , Jose Navarro-Salas , Gonzalo J. Olmo , Leonard Parker

We generalize the adiabatic renormalization to theories with dispersion relations modified at energies higher than a new scale $M_C$. We obtain explicit expressions for the mean value of the stress tensor in the adiabatic vacuum, up to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Lopez Nacir , F. D. Mazzitelli , C. Simeone

We analyze the simplest possible realization of the curvaton scenario, where a nearly scale-invariant spectrum of adiabatic perturbations is generated by conversion of an isocurvature perturbation generated during inflation, rather than the…

Astrophysics · Physics 2009-11-07 N Bartolo , Andrew R Liddle

We express the in-in functional determinant giving the one-loop effective potential for a scalar field propagating in a cosmological spacetime in terms of the mode functions specifying the vacuum of the theory and then apply adiabatic…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Ali Kaya , Emine Seyma Kutluk

The possibility that quantum corrections break the conservation of superhorizon adiabatic perturbations in single field inflation is examined. I consider the lowest order corrections from massless matter fields in the Hamiltonian formalism.…

High Energy Physics - Theory · Physics 2010-04-06 David Campo

We study adiabatic and isocurvature perturbations produced during a period of cosmological inflation. We compute the power spectra and cross spectra of the curvature and isocurvature modes, as well as the tensor perturbation spectrum in…

Astrophysics · Physics 2009-11-06 N. Bartolo , S. Matarrese , A. Riotto

We make a detailed calculation of the amplitude of isocurvature perturbations arising from inflationary models in which the cold dark matter is represented by a scalar field which acquires perturbations during inflation. We use this to…

Astrophysics · Physics 2009-10-31 Andrew R Liddle , Anupam Mazumdar

We revisit the Cosmic Microwave Background (CMB) constraints on the spatial curvature of the Universe, assessing how they change when the curvature parameter and the primordial inflationary scalar spectrum are treated consistently within…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-01 Enrico Specogna , Tatevik Vardanyan , William Giarè , Eleonora Di Valentino

Current data are in good agreement with the predictions of single field inflation. However, the hemispherical asymmetry seen in the cosmic microwave background data, may hint at a potential problem. Generalizing to multi-field models may…

High Energy Physics - Theory · Physics 2015-06-15 Chris Gordon , Paul M. Saffin

This paper represents an in-depth treatment of the chain inflation scenario. We fully determine the evolution of the universe in the model, the necessary conditions in order to have a successful inflationary period, and the matching with…

High Energy Physics - Theory · Physics 2014-11-18 Diego Chialva , Ulf H. Danielsson

Cosmological perturbation theory is the theory of fluctuations (scalar as well as tensor) around the inflationary cosmological background solution. It is important to understand the details of the process of renormalization in this theory.…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-15 Gaurav Goswami

We look at the question posed by Parker et al. about the effect of UV regularisation on the power spectrum for inflation. Focusing on the slow-roll $k$-inflation, we show that up to second order in the Hubble and sound flow parameters, the…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Allan L. Alinea , Takahiro Kubota , Yukari Nakanishi , Wade Naylor

We revise the role that ultraviolet divergences of quantum fields play in slow-roll inflation, and discuss the renormalization of cosmological observables from a space-time perspective, namely the angular power spectrum. We first derive an…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Adrian del Rio , Jose Navarro-Salas
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