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We perform a non-perturbative sum over geometries in a (2+1)-dimensional quantum gravity model given in terms of Causal Dynamical Triangulations. Inspired by the concept of triangulations of product type introduced previously, we impose an…

High Energy Physics - Theory · Physics 2008-11-26 D. Benedetti , R. Loll , F. Zamponi

In this talk, I present a theory of quantum gravity beyond Einstein. The theory is established based on spinnic and scaling gauge symmetries by treating the gravitational force on the same footing as the electroweak and strong forces. A…

High Energy Physics - Theory · Physics 2015-11-04 Yue-Liang Wu

We study the quantum simulation of mixed quantum-semiclassical (MQS) systems, of fundamental interest in many areas of physics, such as molecular scattering and gravitational backreaction. A basic question for these systems is whether…

Quantum Physics · Physics 2023-09-01 Javier Gonzalez-Conde , Andrew T. Sornborger

Quantum gravity phenomenology opens up the possibility of probing Planck scale physics. Thus, by exploiting the generic properties that a semiclassical state of the compound system fermions plus gravity should have, an effective dynamics of…

High Energy Physics - Theory · Physics 2009-11-07 J. Alfaro , H. A. Morales-Tecotl , L. F. Urrutia

This is Part II of our project on block-weighted planar maps and Liouville quantum duality. Focusing on the scaling properties at the dual critical point, we derive the conditional distribution of the root block size given the total size,…

Mathematical Physics · Physics 2026-04-28 Bertrand Duplantier , Emmanuel Guitter

We study a minisuperspace quantum cosmology for a 2+1 dimensional de Sitter universe and find the wave function both exactly and in WKB approximation. Then we extend the model to a canonically quantized field theory for quantum gravity,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Saremi

An action for two dimensional gravity conformally coupled to two dilaton-type fields is analysed. Classically, the theory has some exact solutions. These include configurations representing black holes. A semi-classical theory is obtained…

High Energy Physics - Theory · Physics 2010-11-01 Noureddine Mohammedi

Motivated by quantum gravity, semi-classical theory, and quantum theory on curved spacetimes, we study the system of an oscillator coupled to two spin-1/2 particles. This model provides a prototype for comparing three types of dynamics: the…

Quantum Physics · Physics 2022-09-21 Viqar Husain , Irfan Javed , Suprit Singh

This thesis discusses the topological aspects of quantum gravity, focusing on the connection between 2D quantum gravity and 2D topological gravity. The mathematical background for the discussion is presented in the first two chapters. The…

High Energy Physics - Theory · Physics 2007-05-23 Morten Weis

Quantum gravity has been so elusive because we have tried to approach it by two paths which can never meet: quantum mechanics and general relativity. These contradict each other not only in superdense regimes, but also in the vacuum. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marcus S. Cohen

We use a semiclassical approach to study out of equilibrium dynamics and transport in quantum systems with massive quasiparticle excitations having internal quantum numbers. In the universal limit of low energy quasiparticles, the system is…

Statistical Mechanics · Physics 2019-03-20 Márton Kormos , Catalin Pascu Moca , Gergely Zaránd

We derive the semi-classical gravitational dynamics from thermodynamics of local stretched light cones in 2-dimensional dilaton gravity, explicitly treating the backreaction of quantum matter through the conformal anomaly's effect on the…

High Energy Physics - Theory · Physics 2026-05-07 Ana Alonso-Serrano , Marek Liška , Michał Piotrak

On the background of the Born-Oppenheimer (adiabatic) approximation, we investigate the geometrical and topological structure in the theory of quantum gravity by using the path integral method and halfclassical approximation. As we know,…

Quantum Physics · Physics 2017-02-24 Ze-Lin Zhang , Ming-Feng Chen , Huai-Zhi Wu , Zhen-Biao Yang

Starting from the new minimal multiplet of supergravity in $2+2$ dimensions, we construct two types of self-dual supergravity theories. One of them involves a self-duality condition on the Riemann curvature and implies the equations of…

High Energy Physics - Theory · Physics 2009-10-22 E. Bergshoeff , E. Sezgin

In this paper, we construct the Brownian motion of Liouville Quantum Gravity with central charge $c=1$ (more precisely we restrict to the corresponding free field theory). Liouville quantum gravity with $c=1$ corresponds to two-dimensional…

Probability · Mathematics 2015-02-17 Rémi Rhodes , Vincent Vargas

We present the results of a numerical simulation aimed at understanding the nature of the `c = 1 barrier' in two dimensional quantum gravity. We study multiple Ising models living on dynamical $\phi^3$ graphs and analyse the behaviour of…

High Energy Physics - Lattice · Physics 2009-10-22 Simon M. Catterall , John B. Kogut , Ray L. Renken

We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the…

High Energy Physics - Theory · Physics 2019-09-04 Euihun Joung , Karapet Mkrtchyan , Gabriel Poghosyan

We present a family of classical spacetimes in 2+1 dimensions. Such a spacetime is produced by a Nambu-Goto self-gravitating string. Due to the special properties of three-dimensional gravity, the metric is completely described as a…

High Energy Physics - Theory · Physics 2009-10-22 Shahar Ben-Menahem

We elucidate the basic physical mechanisms responsible for the quantum-classical transition in one-dimensional, bounded chaotic systems subject to unconditioned environmental interactions. We show that such a transition occurs due to the…

Quantum Physics · Physics 2007-10-18 Benjamin D. Greenbaum , Salman Habib , Kosuke Shizume , Bala Sundaram

We formulate quantum gravity in $2+\epsilon$ dimensions in such a way that the conformal mode is explicitly separated. The dynamics of the conformal mode is understood in terms of the oversubtraction due to the one loop counter term. The…

High Energy Physics - Theory · Physics 2009-10-22 Hikaru Kawai , Yoshihisa Kitazawa , Masao Ninomiya