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Related papers: One-loop Euclidean Einstein-Weyl gravity in de Sit…

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We consider higher-derivative quantum gravity where renormalization group improved effective action beyond one-loop approximation is derived. Using this effective action, the quantum-corrected FRW equations are analyzed. De Sitter universe…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Ratbay Myrzakulov , Sergei Odintsov , Lorenzo Sebastiani

We describe a simple gauge-fixing that leads to a construction of a quantum Hilbert space for quantum gravity in an asymptotically Anti de Sitter spacetime, valid to all orders of perturbation theory. The construction is motivated by a…

High Energy Physics - Theory · Physics 2023-06-28 Edward Witten

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 consider the one-loop partition function of free quantum field theory in locally Anti-de Sitter space-times. In three dimensions, the one loop determinants for scalar, gauge and graviton excitations are computed explicitly using heat…

High Energy Physics - Theory · Physics 2009-12-04 Simone Giombi , Alexander Maloney , Xi Yin

The one-loop Euclidean partition function on the sphere is known to exhibit a nontrivial phase for massless fields of spin greater than one. Such a phase appears to be in tension with a state counting interpretation of the partition…

High Energy Physics - Theory · Physics 2026-01-22 Simone Giombi , Zimo Sun

The canonical ``loop'' formulation of quantum gravity is a mathematically well defined, background independent, non perturbative standard quantization of Einstein's theory of General Relativity. Some among the most meaningful results of the…

General Relativity and Quantum Cosmology · Physics 2012-06-12 R. De Pietri

In this short note, we review some recent progress in understanding the 1-loop corrections to the Gibbons-Hawking entropy, which amounts to studying free fields on the de Sitter static patch and the round sphere. After briefly surveying the…

High Energy Physics - Theory · Physics 2023-04-26 Y. T. Albert Law

An inhomogeneous (1+1)-dimensional model of the quantum gravity is considered. It is found, that this model corresponds to a string propagating against some curved background space. The quantization scheme including the Wheeler-DeWitt…

General Relativity and Quantum Cosmology · Physics 2015-05-28 S. L. Cherkas , V. L. Kalashnikov

We study a system of two pointlike particles coupled to three dimensional Einstein gravity. The reduced phase space can be considered as a deformed version of the phase space of two special-relativistic point particles in the centre of mass…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Jorma Louko , Hans-Juergen Matschull

Motivated by the conjecture that the cosmological constant problem could be solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a…

High Energy Physics - Theory · Physics 2009-11-07 M. Reuter , F. Saueressig

The weak field approximation in a model of de Sitter gravity is investigated in the static and spherically symmetric case, under the assumption that the vacuum spacetime without perturbations from matter fields is a torsion-free de Sitter…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Jia-An Lu , Chao-Guang Huang

The aim of this note is to unveil a striking equivalence between the one-loop divergences in 7D Einstein and 6D Conformal Gravities. The particular combination of 6D pointwise Weyl invariants of the 6D Conformal Gravity corresponds to that…

General Relativity and Quantum Cosmology · Physics 2020-03-10 R. Aros , F. Bugini , D. E. Diaz

We show that that four dimensional conformal gravity plus a simple Neumann boundary condition can be used to get the semiclassical (or tree level) wavefunction of the universe of four dimensional asymptotically de-Sitter or Euclidean…

High Energy Physics - Theory · Physics 2011-06-10 Juan Maldacena

It is shown that in a quadratic gravity based on Weyl's conformal geometry, not only the Einstein-Hilbert action emerges but also a Weyl gauge field becomes massive in the Weyl gauge condition, $\tilde R = k$, for a Weyl gauge symmetry…

High Energy Physics - Theory · Physics 2020-03-04 Ichiro Oda

We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable…

High Energy Physics - Theory · Physics 2017-06-07 Robie A. Hennigar , David Kubiznak , Robert B. Mann

The parametrization and gauge dependencies of the one-loop counterterms on the mass-shell in the Einstein gravity are investigated. The physical meaning of the loop calculation results on the mass shell and the parametrization dependence of…

High Energy Physics - Theory · Physics 2010-04-06 M. Yu. Kalmykov

The renormalisation group improved Standard Model effective potential in an arbitrary curved spacetime is computed to one loop order in perturbation theory. The loop corrections are computed in the ultraviolet limit, which makes them…

High Energy Physics - Phenomenology · Physics 2018-06-11 Tommi Markkanen , Sami Nurmi , Arttu Rajantie , Stephen Stopyra

In these lectures we report recent work on the exact quantization of dimensionally reduced gravity, i.e. 2d non-linear (G/H)-coset space sigma-models coupled to gravity and a dilaton. Using methods developed in the context of flat space…

High Energy Physics - Theory · Physics 2007-05-23 H. Nicolai , D. Korotkin , H. Samtleben

Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field theory of quantum gravity, with particles…

High Energy Physics - Theory · Physics 2022-02-22 Dionysios Anninos , Frederik Denef , Y. T. Albert Law , Zimo Sun

We study the particle spectrum and the unitarity of the generic n-dimensional Weyl-invariant quadratic curvature gravity theories around their (anti-)de Sitter [(A)dS] and flat vacua. Weyl symmetry is spontaneously broken in (A)dS and…

High Energy Physics - Theory · Physics 2012-03-13 M. Reza Tanhayi , Suat Dengiz , Bayram Tekin