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We study the partition function of the free Sp(N) conformal field theory recently conjectured to be dual to asymptotically de Sitter higher-spin gravity in four-dimensions. We compute the partition function of this CFT on a round sphere as…

高能物理 - 理论 · 物理学 2013-11-13 Dionysios Anninos , Frederik Denef , Daniel Harlow

We here calculate the one-loop approximation to the Euclidean Quantum Gravity coupled to a scalar field around the classical Carlini and Miji\'c wormhole solutions. The main result is that the Euclidean partition functional $Z_{EQG}$ in the…

高能物理 - 理论 · 物理学 2010-04-06 Alberto Carlini , Maurizio Martellini

The one-loop partition function of the $f(R,R_{\mu\nu}R^{\mu\nu})$ gravity theory is obtained around AdS$_4$ background. After suitable choice of the gauge condition and computation of the ghost determinant, we obtain the one-loop partition…

广义相对论与量子宇宙学 · 物理学 2021-04-19 Shahab Shahidi , Farid Charmchi , Zahra Haghani , Leila Shahkarami

In the Chern-Simons formulation of Einstein gravity in 2+1 dimensions the phase space of gravity is the moduli space of flat G-connections, where G is a typically non-compact Lie group which depends on the signature of space-time and the…

量子代数 · 数学 2007-05-23 Bernd J Schroers

We discuss two-dimensional quantum gravity coupled to conformal matter and fixed area in a semiclassical large and negative matter central charge limit. In this setup the gravity theory -- otherwise highly fluctuating -- admits a round…

高能物理 - 理论 · 物理学 2021-10-13 Beatrix Mühlmann

Model-independent parametrisations for examining departures from General Relativity have been increasingly studied over the past few years. Various observables have been used to constrain the parameters and forecasts for future surveys have…

宇宙学与河外天体物理 · 物理学 2011-12-30 Daniel B. Thomas , Carlo R. Contaldi

It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into…

高能物理 - 理论 · 物理学 2023-06-16 Tomasz Trześniewski

We apply the Wigner function formalism from quantum optics via two approaches, Wootters' discrete Wigner function and the generalized Wigner function, to detect quantum phase transitions in critical spin-$\tfrac{1}{2}$ systems. We develop a…

量子物理 · 物理学 2019-09-09 Zakaria Mzaouali , Steve Campbell , Morad El Baz

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

A metric-field approach to gravitation is presented. It is based on an idea of dependency of space-time properties on measuring instruments. Some bimetric equations that realize this idea are considered. They were tested by the binary…

广义相对论与量子宇宙学 · 物理学 2009-11-07 L. V. Verozub

In the dynamical triangulation model of 4D euclidean quantum gravity we measure two-point functions of the scalar curvature as a function of the geodesic distance. To get the correlations it turns out that we need to subtract a squared…

高能物理 - 格点 · 物理学 2009-07-09 Bas V. de Bakker , Jan Smit

Starting from an important research path, we consider gravity as a collective phenomenon governed by statistical mechanics. While previous studies have focussed on the thermodynamic heat flow across a 2d-horizon as perceived by a single,…

广义相对论与量子宇宙学 · 物理学 2018-04-12 Pierre A Mandrin

We use dimensional regularization to compute the 1PI 1-point function of quantum gravity at one loop order in a locally de Sitter background. As with other computations, the result is a finite constant at this order. It corresponds to a…

广义相对论与量子宇宙学 · 物理学 2009-11-11 N. C. Tsamis , R. P. Woodard

The Euclidean formulation of quantum gravity can be interpreted in terms of a probability distribution over Riemannian manifolds. In the context of de Sitter gravity, the statistics of the total volume according to this distribution is…

高能物理 - 理论 · 物理学 2026-05-07 David Blanco , Guillem Pérez-Nadal , Bruno Sivilotti

We show that partial transposition for pure and mixed two-particle states in a discrete $N$-dimensional Hilbert space is equivalent to a change in sign of a "momentum-like" variable of one of the particles in the Wigner function for the…

量子物理 · 物理学 2017-05-29 Yehuda B. Band , Pier A. Mello

We consider Einstein gravity with positive cosmological constant coupled with higher spin interactions and calculate Euclidean path integral perturbatively. We confine ourselves to the static patch of the 3 dimensional de Sitter space. This…

高能物理 - 理论 · 物理学 2015-07-22 Rudranil Basu

The mode problem on the factored 3--sphere is applied to field theory calculations for massless fields of spin 0, 1/2 and 1. The degeneracies on the factors, including lens spaces, are neatly derived in a geometric fashion. Vacuum energies…

高能物理 - 理论 · 物理学 2009-11-10 J. S. Dowker

Although General Relativity (GR) is a very successful theory of gravity, it cannot explain every observational phenomenon. People have tried many kinds of modified gravity theory to explain these phenomena which GR cannot explain very well,…

高能物理 - 理论 · 物理学 2024-04-19 Shunrui Li , Yang Liu

In Hawking's Euclidean path integral approach to quantum gravity, the partition function is computed by summing contributions from all possible topologies. The behavior such a sum can be estimated in three spacetime dimensions in the limit…

高能物理 - 理论 · 物理学 2010-04-28 Steven Carlip

Simplicial quantum gravity has been proposed as a regularization for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the 4-sphere. The model is well-defined…

高能物理 - 格点 · 物理学 2009-10-22 J. Ambjorn , J. Jurkiewicz