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We study a consistent infrared and ultraviolet regularization scheme for the cosmological perturbations. The infrared divergences are cured by assuming that the Universe undergoes a transition between a non-singular pre-inflationary,…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-18 Giovanni Marozzi , Massimiliano Rinaldi , Ruth Durrer

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 show that multi-field inflationary models with negligible turning in field space during inflation can lead to an effective sourcing of adiabatic from entropic perturbations {\it after} the end of inflation. We illustrate this general…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-08 Rodrigo Gonzalez Quaglia , Martino Michelotti , Diederik Roest , John Joseph Carrasco , Renata Kallosh , Andrei Linde

Adiabatic (curvature) perturbations are produced during a period of cosmological inflation that is driven by a single scalar field, the inflaton. On particle physics grounds -- though -- it is natural to expect that this scalar field is…

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

We develop a new regularization method for the stress-energy tensor and the two-point function of free quantum scalar fields propagating in cosmological spacetimes. We proceed by extending the adiabatic regularization scheme with the…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Antonio Ferreiro , Samuel Monin , Francisco Torrenti

We construct the adiabatic regularization method for a $U(1)$ gauge field in a conformally flat spacetime by quantizing in the canonical formalism the gauge fixed $U(1)$ theory with mass terms for the gauge fields and the ghost fields. We…

High Energy Physics - Theory · Physics 2017-04-05 Chong-Sun Chu , Yoji Koyama

In this work we clarify aspects of renormalization on curved backgrounds focussing on the potential ramifications on the amplitude of inflationary perturbations. We provide an alternate view of the often used adiabatic prescription by…

High Energy Physics - Theory · Physics 2018-05-03 Tommi Markkanen

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

The adiabatic regularization method was originally proposed by Parker and Fulling to renormalize the energy-momentum tensor of scalar fields in expanding universes. It can be extended to renormalize the electric current induced by quantized…

High Energy Physics - Theory · Physics 2020-05-27 Pau Beltrán-Palau , Jose Navarro-Salas , Silvia Pla

This PhD thesis presents a study of the effect and generation of non-adiabatic perturbations in Cosmology. We study adiabatic (curvature) and entropy (isocurvature) perturbations produced during a period of cosmological inflation that is…

Astrophysics · Physics 2007-05-23 Christopher Gordon

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

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

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 investigate the behavior of scalar quantum fields in cosmological backgrounds under modified dispersion relations, specifically focusing on how ultraviolet asymptotics influence field quantization. We establish the conditions for both…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Christian Durán-Romero , Luis J. Garay , Mercedes Martín-Benito , Rita B. Neves

We study adiabatic (curvature) and entropy (isocurvature) perturbations produced during a period of cosmological inflation that is driven by multiple scalar fields with an arbitrary interaction potential. A local rotation in field space is…

Astrophysics · Physics 2009-10-31 Christopher Gordon , David Wands , Bruce A. Bassett , Roy Maartens

After introducing gauge-invariant cosmological perturbation theory we give an improved set of governing equations for multiple fluids including energy transfer. Having defined adiabatic and entropic perturbations we derive the…

Astrophysics · Physics 2007-05-23 Karim A. Malik

One of the solutions to the cosmological Polonyi problem is to introduce a large coupling between the Polonyi field and the inflaton so that the Polonyi field adiabatically tracks the temporal minimum of the potential. We study general…

High Energy Physics - Phenomenology · Physics 2013-05-29 Kazunori Nakayama , Fuminobu Takahashi , Tsutomu T. Yanagida

A special class of conformal gravity theories is proposed to solve the long standing problem of the fine-tuned cosmological constant. In the proposed model time evolution of the inflaton field leaves behind a nearly vanishing, but finite…

High Energy Physics - Phenomenology · Physics 2022-04-25 M. Yoshimura

We study the possibilities of parametric amplification of the gravitational perturbation during reheating in single-field inflation models. Our result shows that there is no additional growth of the super-horizon modes beyond the usual…

High Energy Physics - Phenomenology · Physics 2009-12-30 W. B. Lin , X. H. Meng , X. M. Zhang

In an inflationary cosmology, the observed primoridal density perturbation could come from the quantum fluctuations of another light 'curvaton' field, rather than the inflaton. In this case, it is essential that the curvaton decays,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Kari Enqvist , Rose N. Lerner , Olli Taanila
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