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Quantum Gravity in 2+1 Dimensions

Quantum Gravity in 2+1 Dimensions PDF Author: Steven Carlip
Publisher: Cambridge University Press
ISBN: 9780521545884
Category : Science
Languages : en
Pages : 296

Book Description
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Quantum Gravity in 2+1 Dimensions

Quantum Gravity in 2+1 Dimensions PDF Author: Steven Carlip
Publisher: Cambridge University Press
ISBN: 9780521545884
Category : Science
Languages : en
Pages : 296

Book Description
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Quantum Gravity in 2+1 Dimensions

Quantum Gravity in 2+1 Dimensions PDF Author: Steven Jonathan Carlip
Publisher:
ISBN: 9780521564083
Category : Science
Languages : en
Pages : 276

Book Description
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Conformal Invariance And Applications To Statistical Mechanics

Conformal Invariance And Applications To Statistical Mechanics PDF Author: C Itzykson
Publisher: World Scientific
ISBN: 9814507598
Category :
Languages : en
Pages : 992

Book Description
This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.

Classical and Quantum Gravity in 2+1 Dimensions

Classical and Quantum Gravity in 2+1 Dimensions PDF Author: Max Welling
Publisher:
ISBN: 9789039320235
Category :
Languages : en
Pages : 168

Book Description


Covariant Loop Quantum Gravity

Covariant Loop Quantum Gravity PDF Author: Carlo Rovelli
Publisher: Cambridge University Press
ISBN: 1107069629
Category : Science
Languages : en
Pages : 267

Book Description
A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.

A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity

A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity PDF Author: Stephen Blaha
Publisher: Pingree-Hill Publishing
ISBN:
Category : Science
Languages : en
Pages : 204

Book Description
This book, A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity Based on New Quantum Dimensions and a New Paradigm in the Calculus of Variations, develops a new formulation of quantum field theory. Within this framework, a finite unified quantum field theory of the known forces of nature - electromagnetism, the weak interactions, the strong interactions and gravity - is created. The conventional Standard Model is the large distance limit of the elementary particle sector of the unified theory. The Quantum Gravity sector is finite in this formulation. Its large distance limit is Einsteinian gravity. This unified theory contains no divergences - thus solving a major problem that has bedeviled quantum field theory for the past seventy years. The theory is based on a new form of hidden dimensions: Quantum Dimensions, that only manifest themselves at ultra-high energies. Some new phenomena that result are: * Unification of QED, Weak Interactions, Strong Interactions and Quantum Gravity.* Finite - No divergences.* Finite also with massive vector bosons: No need for Higgs mechanism.* Low Energy Limit: Approximates Standard Model (and QED) to arbitrary accuracy.* Suggests possible doubly charged dilepton resonances.* Large Distance limit of Quantum Gravity: Newtonian gravitational potential.* No ultra-microscopic Black Holes.* A New form of hidden dimensions: Quantum Dimensions.* A New form of interaction: Dimensional Interactions.* A New paradigm (type of problem) for the Calculus of Variations.

Lower Dimensional Gravity

Lower Dimensional Gravity PDF Author: John David Brown
Publisher: World Scientific
ISBN: 9814513768
Category : Science
Languages : en
Pages : 164

Book Description
This book addresses the subject of gravity theories in two and three spacetime dimensions. The prevailing philosophy is that lower dimensional models of gravity provide a useful arena for developing new ideas and insights, which are applicable to four dimensional gravity. The first chapter consists of a comprehensive introduction to both two and three dimensional gravity, including a discussion of their basic structures. In the second chapter, the asymptotic structure of three dimensional Einstein gravity with a negative cosmological constant is analyzed. The third chapter contains a treatment of the effects of matter sources in classical two dimensional gravity. The fourth chapter gives a complete analysis of particle pair creation by electric and gravitational fields in two dimensions, and the resulting effect on the cosmological constant. Lower dimensional gravity may have never been reviewed in its entirety anywhere in the literature.

Two Dimensional Quantum Gravity And Random Surfaces - 8th Jerusalem Winter School For Theoretical Physics

Two Dimensional Quantum Gravity And Random Surfaces - 8th Jerusalem Winter School For Theoretical Physics PDF Author: David J Gross
Publisher: World Scientific
ISBN: 9814556300
Category :
Languages : en
Pages : 256

Book Description
In the past few years there has been much study of random two dimensional surfaces. These provide simple models of string theories with a few degrees of freedom, as well as toy models of quantum gravity. They have possible applications to the statistical mechanics of phase boundaries and to the development of an effective string description of QCD.Recently, methods have been developed to treat these theories nonperturbatively, based on discrete triangulations of the surfaces that can be generated by simple matrix models. Exact solutions with a rich mathematical structure have emerged. All these matters are discussed fully in this book.

Quantum Gravity in Four Dimensions

Quantum Gravity in Four Dimensions PDF Author: Giampiero Esposito
Publisher: Nova Publishers
ISBN: 9781590330005
Category : Science
Languages : en
Pages : 176

Book Description
Main section headings: Ideas and Problems in Quantum Gravity; On Ellipticity and Quantum Gravity; Non-Local Boundary Data in Quantum Gravity; Non-Locality and Ellipticity for Gauge Theories; New Kernels in Quantum Gravity; Quantum Gravity from First Principles; Quantum Gravity and Spectral Geometry; Bibliography; Index.

Random Surfaces and Quantum Gravity

Random Surfaces and Quantum Gravity PDF Author: Orlando Alvarez
Publisher: Springer Science & Business Media
ISBN: 146153772X
Category : Science
Languages : en
Pages : 401

Book Description
The Cargese Workshop Random Surfaces and Quantum Gravity was held from May 27 to June 2, 1990. Little was known about string theory in the non-perturbative regime before Oetober 1989 when non-perturbative equations for the string partition functions were found by using methods based on the random triangulations of surfaees. This set of methods pro vides a deseription of non-eritical string theory or equivalently of the coupling of matter fields to quantum gravity in two dimensions. The Cargese meeting was very successful in that it provided the first opportunity to gather most of the active workers in the field for a fuH week of lectures and extensive informal discussions about these exeiting new developments. The main results were reviewed, recent advances were explained, new results and conjectures (which appear for the first time in these proceedings) were presented and discussed. Among the most important topics discussed at the workshop were: The relation of KdV theory to loop equations and the Virasoro algebra, new results in Liouville field theory, effective (1 + 1) dimensional theory for 2 - D quantum gravity coupled to c = 1 matter and its fermionization, proposal for a new geometrical interpretation of the string equation and possible definition of quantum Riemann surfaces, discussion of the string equation for the multi-matrix models, links with topological field theories of gravity, issues in using target space supersymmetry to define good theories, definition of the partition function via analytic continuation, new models of random surfaces