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This text is a survey (Bourbaki seminar) on the paper "Liouville quantum gravity and KPZ" By B.Duplantier and S.Sheffield.
Quantum gravity stability of isotropy in homogeneous cosmology
quantum stability cosmological isotropy cosmological
2011/7/18
It has been shown that anisotropy of homogeneous spacetime described by the general Kasner metric can be damped by quantum fluctuations coming from perturbative quantum gravity in one-loop approximati...
An inhomogeneous toy-model of the quantum gravity with explicitly evolvable observables
quantum gravity inhomogeneous toy-model explicitly evolvable observables
2011/7/12
Abstract: We consider an inhomogeneous (1+1)-dimensional model of the quantum gravity, which has a system of constraints (hamiltonian and momentum ones) by analogy with that of the General Relativity....
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
Conformal weldings of random surfaces: quantum gravity zipper
2010/12/31
We construct a conformal welding of two Liouville quantum gravity random surfaces and show that the interface between them is a random fractal curve called the Schramm-Loewner evolution (SLE), thereby...
Quantum Gravity coupled to Matter via Noncommutative Geometry
Quantum Gravity Matter Noncommutative Geometry
2010/12/31
We show that the principal part of the Dirac Hamiltonian in 3+1 dimensions emerges in a semi-classical approximation from a construc-tion which encodes the kinematics of quantum gravity.
Schramm Loewner Evolution and Liouville Quantum Gravity
Schramm Loewner Evolution Liouville Quantum Gravity
2010/12/22
We conformally weld (via “quantum zipping”) two boundary arcs of a Liouville quantum gravity
random surface to generate a random curve called the Schramm-Loewner evolution (SLE). We develop a theory ...
One-loop quantum gravity repulsion in the early Universe
One-loop quantum gravity the early Universe
2010/11/30
Perturbative quantum gravity is used to compute the lowest order corrections to the classical spatially flat cosmological FLRW solution (for the radiation). The presented approach is analogous to the...
Black holes in an ultraviolet complete quantum gravity
Black holes ultraviolet complete quantum gravity
2010/11/30
In this Letter we derive the gravity field equations by varying the action for an ultraviolet complete quantum gravity. Then we consider the case of a static source term and we determine an exact bla...
Background independent condensed matter models for quantum gravity
Background independent condensed matter models quantum gravity
2010/11/30
A number of recent proposals for a quantum theory of gravity are based on the idea that spacetime geometry and gravity are derivative concepts and only apply at an approximate level. There are two fu...
The Conformal Constraint in Canonical Quantum Gravity
The Conformal Constraint Canonical Quantum Gravity
2010/11/30
Perturbative canonical quantum gravity is considered, when coupled to a renormalizable model for matter fields. It is proposed that the functional integral over the dilaton field should be disentangle...
Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
Quantum-Gravity Induced Lorentz Violation Dynamical Mass Generation
2010/11/30
In Ref. [1] (by J. Alexandre) a minimal extension of (3+1)-dimensional Quantum Electrodynamics has been proposed, which includes Lorentz-Violation (LV) in the form of higher-(spatial)-derivative isotr...
This week's issue of Nature includes a paper that's remarkable for two reasons: it is about quantum gravity – a topic usually not covered in the journal – and it is written by just one person. Now, af...
One-loop quantum gravity repulsion in the early Universe
one-loop graviton vacuum polarization one-loop graviton self-energy
2010/11/1
Perturbative quantum gravity is used to compute the lowest order corrections to the classical
spatially flat cosmological FLRW solution (for the radiation). The presented approach is analogous to the...
Background independent condensed matter models for quantum gravity
Background independent condensed matter models quantum gravity
2010/11/1
A number of recent proposals for a quantum theory of gravity are based on the idea that spacetime geometry and gravity are derivative concepts and only apply at an approximate level. There are two fun...
Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
Quantum-Gravity Lorentz Violation Dynamical Mass Generation
2010/11/1
In Ref. [1] a minimal extension of (3+1)-dimensional Quantum Electrodynamics has been proposed, which includes Lorentz-Violation (LV) in the form of higher-(spatial)-derivative isotropic terms in the ...