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We postulate that the fundamental principles of Quantum Gravity are diffeomorphism symmetry, unitarity, and locality. Local observables are compatible with diffeomorphism symmetry in the presence of diff anomalies, which modify the symmetry…

广义相对论与量子宇宙学 · 物理学 2015-06-05 T. A. Larsson

As a toy model for the implementation of the diffeomorphism constraint, the interpretation of the resulting states, and the treatment of ordering ambiguities in loop quantum gravity, we consider the Hilbert space of spatially diffeomorphism…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Hanno Sahlmann

We perform a systematic analysis of flow-like solutions in theories of Einstein gravity coupled to multiple scalar fields, which arise as holographic RG flows as well as in the context of cosmological solutions driven by scalars. We use the…

高能物理 - 理论 · 物理学 2018-08-01 Francesco Nitti , Leandro Silva Pimenta , Danièle A. Steer

Any quantum system interacting with a complex environment undergoes decoherence. Empty space is filled with vacuum energy due to matter fields in their ground state and represents an underlying environment that any quantum particle has to…

广义相对论与量子宇宙学 · 物理学 2009-08-26 Paolo M. Bonifacio

Unimodular gravity is classically equivalent to General Relativity. This equivalence extends to actions which are functions of the curvature scalar. At the quantum level, the dynamics could differ. Most importantly, the cosmological…

广义相对论与量子宇宙学 · 物理学 2015-05-20 Astrid Eichhorn

We discuss the following proposition: Renormalization Group flow of quantum theory with a biased symmetry exhibits a fixed hypersurface at which the symmetry is exact. Such emergent symmetries may have important phenomenological…

高能物理 - 理论 · 物理学 2024-06-21 Zurab Berezhiani , Maicol Di Giambattista , Alessio Maiezza , Archil Kobakhidze

We construct a novel Wetterich-type functional renormalization group equation for gravity which encodes the gravitational degrees of freedom in terms of gauge-invariant fluctuation fields. Applying a linear-geometric approximation the…

高能物理 - 理论 · 物理学 2015-04-30 Maximilian Demmel , Frank Saueressig , Omar Zanusso

In this paper we work out in detail a new proposal to define rigorously a sector of loop quantum gravity at the diffeomorphism invariant level corresponding to homogeneous and isotropic cosmologies, and propose how to compare in detail the…

广义相对论与量子宇宙学 · 物理学 2017-11-22 Christopher Beetle , Jonathan Steven Engle , Matthew Ernest Hogan , Phillip Mendonca

A version of the cosmological perturbation theory in general relativity (GR) is developed, where the cosmological scale factor is identified with spatial averaging of the metric determinant logarithm and the cosmic evolution acquires the…

广义相对论与量子宇宙学 · 物理学 2011-07-19 B. M. Barbashov , V. N. Pervushin , A. F. Zakharov , V. A. Zinchuk

In the event symmetric approach to quantum gravity it is assumed that the fundamental laws of physics must be invariant under exchange of any two space-time events. The fact that this symmetry if obviously not observed is attributed to the…

高能物理 - 理论 · 物理学 2007-05-23 P. E. Gibbs

Quantum gravity can determine the dependence of gauge couplings in a scalar field, which is related to possible fifth forces and time varying fundamental "constants". This prediction is based on the scaling solution of functional flow…

高能物理 - 理论 · 物理学 2022-11-30 C. Wetterich

This article gives a comprehensive description of the fractal geometry of conformally-invariant (CI) scaling curves, in the plane or half-plane. It focuses on deriving critical exponents associated with interacting random paths, by…

数学物理 · 物理学 2007-05-23 Bertrand Duplantier

The Hamiltoinian analysis of the vector-tensor theory of gravity is performed. The resulting geometrical dynamics is reformulated into the connection dynamics, with the real SU(2)-connection serving as one of the configuration variables.…

广义相对论与量子宇宙学 · 物理学 2026-02-24 Shengzhi Li , Yongge Ma

We discuss the stabilization of the conformal factor by higher derivative terms in a conformally reduced $R+R^2$ Euclidean gravity theory. The flat spacetime is unstable towards the condensation of modes with nonzero momentum, and they…

高能物理 - 理论 · 物理学 2013-04-17 Alfio Bonanno , Martin Reuter

We investigate the ultraviolet completion of an $O(N)$ scalar field theory non-minimally coupled to gravity using the Wilsonian functional renormalization group in the proper-time formulation. Focusing on the spontaneously broken phase, we…

高能物理 - 理论 · 物理学 2026-01-29 Alfio M. Bonanno , Emiliano M. Glaviano

The importance of the proper treatment of the wave function renormalization in the renormalization group analysis of quantum gravity is pointed out. The renormalization factor, sometimes called an inessential coupling, can be used to fix…

高能物理 - 理论 · 物理学 2023-07-12 Hikaru Kawai , Nobuyoshi Ohta

Loop quantum cosmology is a symmetry reduced quantization of cosmological spacetimes based on loop quantum gravity. While it has been successful in resolution of various cosmological singularities and connecting Planck scale physics to…

广义相对论与量子宇宙学 · 物理学 2019-12-25 Klaus Liegener , Parampreet Singh

Loop quantum gravity is a mature theory. To proceed to explicit calculations in cosmology, it is necessary to make assumptions and simplifications based on the symmetries of the cosmological setting. Symmetry reduction is especially…

广义相对论与量子宇宙学 · 物理学 2016-08-03 Aurélien Barrau , Boris Bolliet

The functional renormalisation group is employed to study the non-linear regime of late-time cosmic structure formation. This framework naturally allows for non-perturbative approximation schemes, usually guided by underlying symmetries or…

宇宙学与河外天体物理 · 物理学 2022-01-10 Alaric Erschfeld , Stefan Floerchinger

We provide a comprehensive picture for the formulation of the perfect fluid in the modern effective field theory formalism at both the classical and quantum level. Due to the necessity of decomposing the hydrodynamical variables $(\rho, p,…

高能物理 - 理论 · 物理学 2026-01-22 Gabriel Cuomo , Fanny Eustachon , Eren Firat , Brian Henning , Riccardo Rattazzi