• Corpus ID: 15374712

Quantum Gravity In De Sitter Space

  title={Quantum Gravity In De Sitter Space},
  author={Edward Witten},
  journal={arXiv: High Energy Physics - Theory},
  • E. Witten
  • Published 13 June 2001
  • Physics
  • arXiv: High Energy Physics - Theory
We discuss some general properties of quantum gravity in De Sitter space. It has been argued that the Hilbert space is of finite dimension. This suggests a macroscopic argument that General Relativity cannot be quantized -- unless it is embedded in a more precise theory that determines the value of the cosmological constant. We give a definition of the quantum Hilbert space using the asymptotic behavior in the past and future, without requiring detailed microscopic knowledge. We discuss the… 
Aspects of quantum gravity in de Sitter spaces
In this paper we give a review of recent attempts to understand quantum gravity on de Sitter spaces. In particular, we discuss the holographic correspondence between de Sitter gravity and conformal
More Thoughts on the Quantum Theory of Stable de Sitter Space
I review and update ideas about the quantum theory of de Sitter space. New results include a quantum relation between energy and entropy of states in the causal patch, which is satisfied by small dS
The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional
We argue in a model-independent way that the Hilbert space of quantum gravity is locally finite-dimensional. In other words, the density operator describing the state corresponding to a small region
De Sitter Space with Finitely Many States: A Toy Story
The finite entropy of de Sitter space suggests that in a theory of quantum gravity there are only finitely many states. It has been argued that in this case there is no action of the de Sitter group
Higher spin de Sitter Hilbert space
Abstract We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The funda- mental degrees of
Observables in effective gravity
We address the construction and interpretation of diffeomorphism-invariant observables in a low-energy effective theory of quantum gravity. The observables we consider are constructed as integrals
The wave function of quantum de Sitter
A bstractWe consider quantum general relativity in three dimensions with a positive cosmological constant. The Hartle-Hawking wave function is computed as a function of metric data at asymptotic
Quantum Gravity in Species Regime
A large number of particle species allows to formulate quantum gravity in a special double-scaling limit, the species limit. In this regime, quantum gravitational amplitudes simplify substantially.
Introduction to a Quantum Theory over a Galois Field
A quantum theory based on a Galois field where infinities cannot exist, the cosmological constant problem does not arise, and there can be no neutral elementary particles and the spin-statistics theorem can be treated simply as a requirement that standard quantum theory should be based on complex numbers.


M-theory observables for cosmological space-times
We discuss the construction of the analog of an S-matrix for space-times that begin with a Big-Bang and asymptote to an FRW universe with nonnegative cosmological constant. When the cosmological
Contrary to the situation which holds for the canonical theory described in the first paper of this series, there exists at present no tractable pure operator language on which to base a manifestly
Supergravity description of field theories on curved manifolds and a no go theorem
In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on
Positive vacuum energy and the N-bound
We argue that the total observable entropy is bounded by the inverse of the cosmological constant. This holds for all space-times with a positive cosmological constant, including cosmologies
Interacting relativistic boson fields in the De Sitter universe with two space-time dimensions
The positive temperature Gibbs state of a scalar boson field with a relativistic local self-interaction in two space-time dimensional Minkowski universe as constructed in [1] is not relativistic
Quantum Fields in Curved Space
This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole
A covariant entropy conjecture
We conjecture the following entropy bound to be valid in all space-times admitted by Einstein's equation: let A be the area of any two-dimensional surface. Let L be a hypersurface generated by
M theory as a matrix model: A Conjecture
We suggest and motivate a precise equivalence between uncompactified 11-dimensional M theory and the N={infinity} limit of the supersymmetric matrix quantum mechanics describing D0 branes. The
String theory and quintessence
We discuss the obstacles for defining a set of observable quantities analogous to an S-matrix which are needed to formulate string theory in an accelerating universe. We show that the quintessence
The Quantum Gravitational Back-Reaction on Inflation
Abstract We describe our recent calculation of two-loop corrections to the expansion rate of an initially inflating universe on the manifoldT3× R . If correct, our result proves that quantum