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This timely volume provides a broad survey of 21-dimensional quantum gravity. It compares and contrasts a variety of approaches and examines what they imply for a realistic theory of quantum gravity.
Cambridge University Press Dec 4 2003 - Science - 276 pages.
Quantum gravity in 2 1 dimensions. This timely volume provides a broad survey of 21-dimensional quantum gravity. It emphasises the quantum cosmology of closed universes and the quantum mechanics of the 21-dimensional black hole. It compares and contrasts a variety of approaches and examines what they imply for a realistic theory of quantum gravity.
This timely volume provides a broad survey of 21-dimensional quantum gravity. It emphasises the quantum cosmology of closed universes and the quantum mechanics of the 21-dimensional black hole. It compares and contrasts a variety of approaches and examines what they imply for a realistic theory of quantum gravity.
General relativity in three spacetime dimensions has become a popular. Where G is ISO2 1 for Λ 0 SO3 1 for Λ 0 or SO2 2 for Λ 0 mo dulo o ve r a ll conjugation. F or g 1 this space of homomorphisms has dimension 12 g 12.
Of gravitating point particles in 21 dimensions although 65 197 195 37 36 199 63 183 will give an overview of some results. Several good general reviews of the 21-dimensional black hole exist 75 39 although a great deal of the quantum mechanics is not yet understood 82. These lectures briefly review our current understanding of classical and quantum gravity in three spacetime dimensions concentrating on the quantum mechanics of closed universes and the 21-dimensional black hole.
Three formulations of the classical theory and three approaches to quantization are discussed in some detail and a number. In two spatial and one time dimensions general relativity turns out to have no propagating gravitational degrees of freedom. In fact it can be shown that in a vacuum spacetime will always be locally flat or de Sitter or anti-de Sitter depending upon the cosmological constantThis makes 21-dimensional topological gravity 21D topological gravity a topological theory with no.
In this chapter I will introduce two fundamental approaches to classical general relativity in 21 dimensions. The first of these based on the ArnowittDeserMisner ADM decomposition of the metric is familiar from 31-dimensional gravity. The main new feature is that for certain topologies we will be able to find the general solution of the constraints.
Perhaps the simplest approach to quantum gravity in 2 1 dimensions 66 160 begins with the reduced phase space action which describes a finite-dimensional system of physical degrees of freedom albeit one. Quantum Gravity in 2 1 Dimensions. The Case of a Closed Universe.
These include investigating the quantum fluctuations in 21-dimensional CDTs and comparing the results with canonical quantization approaches 6 detailed analysis of the volume profiles in 21. Classical general relativity in 21 dimensions. A field guide to the 21-dimensional spacetimes.
Geometric structures and Chern-Simons theory. Canonical quantization in reduced phase space. Operator algebras and loops.
Euclidian path integrals and quantum cosmology. This timely volume provides a broad survey of 21-dimensional quantum gravity. It emphasises the quantum cosmology of closed universes and the quantum mechanics of the 21-dimensional black hole.
It compares and contrasts a variety of approaches and examines what they imply for a realistic theory of quantum gravity. Quantum Gravity in 21 Dimensions. Steven Carlip Steven Jonathan Carlip.
Cambridge University Press Dec 4 2003 - Science - 276 pages. Two dimensional induced quantum gravity is analyzed. By the use of light-cone gauge we derive a gravitational analogue of the Wess-Zumino action and discover its amazing connection with SL 2 ℝ current algebra.
The latter permits us to find differential equations for the correlation functions. 5 Galilean quantum gravity in 21 dimensions 108 51 The quantum double of the Galilei group and representations. 511 Representation theory of the centrally extended Galilei group109 512 The Galilei double and its irreducible representations.
This timely volume provides a broad survey of 21-dimensional quantum gravity. It emphasises the quantum cosmology of closed universes and the quantum mechanics of the 21-dimensional black hole. It compares and contrasts a variety of approaches and examines what they imply for a realistic theory of quantum gravity.