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We construct perturbative quantum gravity in a generally covariant way. In particular our construction is background independent. It is based on the locally covariant approach to quantum field theory and the renormalized Batalin-Vilkovisky…

数学物理 · 物理学 2015-11-30 Romeo Brunetti , Klaus Fredenhagen , Katarzyna Rejzner

I argue that the linearity of quantum mechanics is an emergent feature at the Planck scale, along with the manifold structure of space-time. In this regime the usual causality violation objections to nonlinearity do not apply, and nonlinear…

量子物理 · 物理学 2009-11-10 George Svetlichny

A general nonperturvative loop quantization procedure for metric modified gravity is reviewed. As an example, this procedure is applied to scalar-tensor theories of gravity. The quantum kinematical framework of these theories is rigorously…

广义相对论与量子宇宙学 · 物理学 2013-04-09 Xiangdong Zhang , Yongge Ma

I provide a conceptually-focused presentation of `low-energy quantum gravity' (LEQG), the effective quantum field theory obtained from general relativity and which provides a well-defined theory of quantum gravity at energies well below the…

广义相对论与量子宇宙学 · 物理学 2021-12-24 David Wallace

We propose a model of quantum gravity in arbitrary dimensions defined in terms of the BV quantization of a supersymmetric, infinite dimensional matrix model. This gives an (AKSZ-type) Chern-Simons theory with gauge algebra the space of…

高能物理 - 理论 · 物理学 2014-10-27 R. Bonezzi , O. Corradini , A. Waldron

In this letter we outline some reasons for considering a quantum field theory symmetric under quantum groups and we sketch some results obtained with collaborators in the k-Poincare framework. We deal with this latter as a toy model towards…

高能物理 - 理论 · 物理学 2010-03-02 Antonino Marciano

A framework is proposed that allows to write down field theories with a new energy scale while explicitly preserving Lorentz invariance and without spoiling the features of standard quantum field theory which allow quick calculations of…

高能物理 - 理论 · 物理学 2008-11-26 Tomasz Konopka

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…

高能物理 - 理论 · 物理学 2007-05-23 H. Nicolai , D. Korotkin , H. Samtleben

We study the quantum-gravitational corrections to the power spectrum of a gauge-invariant inflationary scalar perturbations in a closed model of a universe. We consider canonical quantum gravity as an approach to quantizing gravity. This…

广义相对论与量子宇宙学 · 物理学 2023-02-15 Tatevik Vardanyan , Claus Kiefer

More recently in [J. Phys. A: Math. Theor. 53, 115303 (2020)], we have introduced a set of noncommutative algebra that describes the space-time at the Planck scale. The interesting significant result we found is that the generalized…

高能物理 - 理论 · 物理学 2021-03-30 Latévi Mohamed Lawson

We describe a refined version of a previous proposal for the exploration of quantum gravity phenomenology. Unlike the original scheme, the one presented here is free from sign ambiguities while it shares with the previous one the essential…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Yuri Bonder , Daniel Sudarsky

Despite the fact that quantum gravity is non-renormalisable, a consistent and mathematically rigorous construction of a perturbation series is possible. This is based on the use of the Batalin-Vilkovisky-Becchi-Rouet-Stora-Tyutin formalism…

广义相对论与量子宇宙学 · 物理学 2022-12-26 Romeo Brunetti , Klaus Fredenhagen , Kasia Rejzner

We highlight the fact that the lack of scale invariance in the gravitational field equations of General Relativity results from the underlying assumption that the appropriate scale for the gravitational force should be linked to the atomic…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Robin Booth

The field equations in modified gravity theories possess an important decoupling property with respect to certain classes of nonholonomic frames. This allows us to construct generic off--diagonal solutions depending on all spacetime…

广义相对论与量子宇宙学 · 物理学 2015-02-23 Sergiu I. Vacaru

Small violations of spacetime symmetries have recently been identified as promising Planck-scale signals. This talk reviews how such violations can arise in various approaches to quantum gravity, how the emergent low-energy effects can be…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Ralf Lehnert

It is postulated that quantum gravity is a sum over causal structures coupled to matter via scale evolution. Quantized causal structures can be described by studying simple matrix models where matrices are replaced by an algebra of quantum…

高能物理 - 理论 · 物理学 2015-07-01 R. Bonezzi , O. Corradini , E. Latini , A. Waldron

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of 2D quantum gravity which works away from…

高能物理 - 理论 · 物理学 2017-11-22 Badis Ydri , Cherine Soudani , Ahlam Rouag

We suggest and briefly review a new sort of superrenormalizable models of higher derivative quantum gravity. The higher derivative terms in the action can be introduced in such a way that all the unphysical massive states have complex…

高能物理 - 理论 · 物理学 2016-03-23 Leonardo Modesto , Ilya L. Shapiro

We study the growth of subhorizon perturbations in brane-induced gravity using perturbation theory. We solve for the linear evolution of perturbations taking advantage of the symmetry under gauge transformations along the extra-dimension to…

宇宙学与河外天体物理 · 物理学 2009-11-10 Roman Scoccimarro

Emergent modified gravity is a post-Einsteinian gravitational theory where spacetime geometry is not fundamental but rather emerges from the gravitational degrees of freedom in a non-trivial way. The specific relationship between geometry…

广义相对论与量子宇宙学 · 物理学 2024-12-23 Martin Bojowald , Erick I. Duque , S. Shankaranarayanan