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Related papers: One-loop divergences for $f(R)$ gravity

200 papers

Investigating quantum gravity requires a comprehension of both, general relativity and quantum field theory. Therefore this thesis starts, after a general introduction to the treated topics, with a brief review of the field theoretical…

High Energy Physics - Theory · Physics 2018-10-09 Natalia Alkofer

Large corrections to the inflationary tensor power spectrum have been speculated to emerge either as second-order scalar-induced classical effects, or as 1-loop quantum corrections. These two sources are not independent of each other.…

High Energy Physics - Phenomenology · Physics 2026-05-28 A. Hauser , M. Laine

The one-loop effective action for a generic set of quantum fields is calculared as a nonlocal expansion in powers of the curvatures (field strengths). This expansion is obtained to third order in the curvature. It is stressed that the…

High Energy Physics - Theory · Physics 2009-10-28 A. O. Barvinsky , Yu. V. Gusev , G. A. Vilkovisky , V. V. Zhytnikov

We study time-reversal and parity ---on the physical manifold and in internal space--- in covariant loop gravity. We consider a minor modification of the Holst action which makes it transform coherently under such transformations. The…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Carlo Rovelli , Edward Wilson-Ewing

In a previous work, we showed that the two- and three-loop contributions to the partition function of three-dimensional gravity in flat space vanish. This is in agreement with the expected one-loop exactness dictated by the underlying…

High Energy Physics - Theory · Physics 2025-12-16 Andres Goya , Mauricio Leston , Mario Passaglia

Most of the potential physical effects of loop quantum gravity have been derived in effective models that modify the constraints of canonical general relativity in specific forms. Emergent modified gravity evaluates important conditions…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Idrus Husin Belfaqih , Martin Bojowald , Suddhasattwa Brahma , Erick I. Duque

We examine the accuracy of the quasi-static approximation and a parametric form commonly employed for evolving linear perturbations in f(R) gravity theories and placing cosmological constraints. In particular, we analyze the nature and the…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-13 Alireza Hojjati , Levon Pogosian , Alessandra Silvestri , Starla Talbot

I discuss a method for obtaining the one-loop quantum corrections to the tree-level entropy for a charged Kerr black hole. Divergences which appear can be removed by renormalization of couplings in the tree-level gravitational action in a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. B. Mann

We explore the Minkowski functionals of weak lensing convergence map to distinguish between $f(R)$ gravity and the general relativity (GR). The mock weak lensing convergence maps are constructed with a set of high-resolution simulations…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-21 Chenxiaoji Ling , Qiao Wang , Ran Li , Baojiu Li , Jie Wang , Liang Gao

Conceptual consequences of recent results in loop quantum gravity are collected and discussed here in view of their implications for a modern philosophy of science which is mainly understood as one that totalizes scientific insight so as to…

General Physics · Physics 2007-05-23 Rainer E. Zimmermann

We report on the calculation of the total derivative $\cx R$ term in the divergence of vacuum effective action for the nonminimal vector field operator in a curved space background. This term led to an interesting discussions in the…

High Energy Physics - Theory · Physics 2025-05-02 Thomas M. Sangy , Tibério de Paula Netto , Ilya L. Shapiro

We study the one loop renormalization in the most general metric-dilaton theory with the second derivative terms only. The general theory can be divided into two classes, models of one are equivalent to conformally coupled with gravity…

High Energy Physics - Theory · Physics 2016-09-06 I. L. Shapiro , Hiroyuki Takata

The one-loop correction to eleven-dimensional supergravity involves a cubically divergent term $t_8t_8R^4$, with four Riemann tensors. A similar term (with finite coefficient) has been argued to be present in the M-theory effective action.…

High Energy Physics - Theory · Physics 2026-03-04 Aviral Aggarwal , Subhroneel Chakrabarti , Steven Weilong Hsia , Ahmed Rakin Kamal , Linus Wulff

We determine corrections to the Hubble rate due to graviton loops in a cosmological background spacetime of constant deceleration parameter. The corrections are gauge-invariant, based on a recent proposal for all-order gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2019-04-15 Markus B. Fröb

The first quantum corrections to the entropy for an eternal 4-dimensional extremal Reissner-Nordstr\"om black hole is investigated at one-loop level, in the large mass limit of the black hole, making use of the conformal techniques related…

High Energy Physics - Theory · Physics 2009-10-28 G. Cognola , L. Vanzo , S. Zerbini

Quantum f-divergences are a quantum generalization of the classical notion of f-divergences, and are a special case of Petz' quasi-entropies. Many well known distinguishability measures of quantum states are given by, or derived from,…

Mathematical Physics · Physics 2017-06-28 F. Hiai , M. Mosonyi , D. Petz , C. Beny

We use the worldline formalism for calculating the one-loop effective action for the Einstein-Maxwell background induced by charged scalars or spinors, in the limit of low energy and weak gravitational field but treating the electromagnetic…

High Energy Physics - Theory · Physics 2009-03-19 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

We discuss the renormalization group in the context of gravitational theories with independent metric and affine connection. Considering a class of theories with both propagating torsion and nonmetricity, we perform an explicit computation…

High Energy Physics - Theory · Physics 2024-06-21 Oleg Melichev

To explore possibilities of avoiding coincidence problem in $f(R)$ gravity we consider models in Einstein conformal frame which are equivalent to Einstein gravity with a minimally coupled scalar field. As the conformal factor determines the…

General Relativity and Quantum Cosmology · Physics 2013-02-05 A. Sil , S. Som

We illustrate a general reconstruction procedure for mimetic gravity. Focusing on a bouncing cosmological background, we derive general properties that must be satisfied by the function $f(\Box\phi)$ implementing the limiting curvature…

General Relativity and Quantum Cosmology · Physics 2019-05-10 Marco de Cesare