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We study quantum modifications to cosmology in a Friedmann-Robertson-Walker universe with and without scalar fields by taking the renormalisation group running of gravitational and matter couplings into account. We exploit the Bianchi…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Mark Hindmarsh , Daniel Litim , Christoph Rahmede

The treatment of a quantized field in a curved spacetime requires the study of backreaction of the field on the spacetime via the semiclassical Einstein equation. We consider a free scalar field in spatially flat Robertson-Walker space…

Mathematical Physics · Physics 2011-07-14 Benjamin Eltzner , Hanno Gottschalk

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

The cosmological relaxation of the electroweak scale has been proposed as a mechanism to address the hierarchy problem of the Standard Model. A field, the relaxion, rolls down its potential and, in doing so, scans the squared mass parameter…

High Energy Physics - Phenomenology · Physics 2018-02-21 Walter Tangarife , Kohsaku Tobioka , Lorenzo Ubaldi , Tomer Volansky

Inflationary predictions based on the linear theory of cosmological perturbations are related to the two point function of a (second quantized) real scalar free field during the accelerated stage. Such a two point function is finite, in…

High Energy Physics - Theory · Physics 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

The methods of the renormalization group and the $\varepsilon$-expansion are applied to quantum gravity revealing the existence of an asymptotically safe fixed point in spacetime dimensions higher than two. To facilitate this, physical…

High Energy Physics - Theory · Physics 2018-01-04 Kevin Falls

We analyze critically the renormalization of quantum fields in cosmological spacetimes, using non covariant ultraviolet cutoffs. We compute explicitly the counterterms necessary to renormalize the semiclassical Einstein equations, using…

General Relativity and Quantum Cosmology · Physics 2015-04-28 Mauro Elías , Francisco D. Mazzitelli

In the mathematically rigorous analysis of semiclassical Einstein's equations, the renormalisation of the stress-energy tensor plays a crucial role. We address such a topic in the case of a scalar field with both arbitrary mass and coupling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Claudio Dappiaggi , Klaus Fredenhagen , Nicola Pinamonti

We report on a revision of our previous computation of the renormalized expectation value of the stress-energy tensor of a massless, minimally coupled scalar with a quartic self-interaction on a locally de Sitter background. This model is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 V. K. Onemli , R. P. Woodard

We perform a qualitative and thermodynamic study of two models when one takes into account adiabatic particle production. In the first one, there is a constant particle production rate, which leads to solutions depicting the current cosmic…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Llibert Aresté Saló , Jaume de Haro

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

A new approach to nonperturbative calculations in quantum electrodynamics is proposed. The approach is based on a regular iteration scheme for solution of Schwinger-Dyson equations for generating functional of Green functions. The approach…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. E. Rochev

Computation of the renormalized stress-energy tensor is the most serious obstacle in studying the dynamical, self-consistent, semiclassical evaporation of a black hole in 4D. The difficulty arises from the delicate regularization procedure…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Adam Levi , Amos Ori

This is the third paper in a series of four in which we use space adiabatic methods in order to incorporate backreactions among the homogeneous and between the homogeneous and inhomogeneous degrees of freedom in quantum cosmological…

General Relativity and Quantum Cosmology · Physics 2019-06-20 S. Schander , T. Thiemann

Vacuum and particles can be naturally defined in the adiabatic regime of an expanding universe. In general, however, there is no preferred choice of a vacuum state, unless the spacetime background possesses special symmetries. In the…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Pau Beltrán-Palau , Sergi Nadal-Gisbert , José Navarro-Salas , Silvia Pla

In this paper we will compare two different methods of regularizing the kinetic energy density for a massless scalar field in the presence of a static scalar potential. One method of regularization is to subtract the cosmological constant…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Dan Solomon

We have investigated the cosmological scenarios with a four dimensional effective action which is connected with multidimensional, supergravity and string theories. The solution for the scale factor is such that initially universe undergoes…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. A. Sen , S. Sen

We investigate $\beta$-functions of quantum gravity using dimensional regularisation. In contrast to minimal subtraction, a non-minimal renormalisation scheme is employed which is sensitive to power-law divergences from mass terms or…

High Energy Physics - Theory · Physics 2024-09-17 Yannick Kluth

We calculate the effects of quantum fluctuations of a scalar field in the "ballpoint pen" cosmic string geometry. Using the approach to renormalization established previously for the energy density in two space dimensions, we extend those…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Noah Graham

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