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Tuesday, July 28, 2020 | History

4 edition of Two dimensional quantum gravity and random surfaces found in the catalog.

Two dimensional quantum gravity and random surfaces

Jerusalem Winter School for Theoretical Physics. (8th 1990-1991 Jerusalem)

Two dimensional quantum gravity and random surfaces

Jerusalem Winter School for Theoretical Physics, Jerusalem, Israel, 27 Dec. 90-4 Jan. 91

by Jerusalem Winter School for Theoretical Physics. (8th 1990-1991 Jerusalem)

  • 283 Want to read
  • 3 Currently reading

Published by World Scientific in Singapore, River Edge, N.J .
Written in English

    Subjects:
  • Quantum gravity.

  • Edition Notes

    Statementedited by D.J. Gross, T. Piran and S. Weinberg.
    ContributionsGross, D., Piran, Tsvi, 1949-, Weinberg, Steven, 1933-
    Classifications
    LC ClassificationsQC178 .J47 1991
    The Physical Object
    Paginationxii, 240 p. :
    Number of Pages240
    ID Numbers
    Open LibraryOL20207578M
    ISBN 109810206429, 9810206437

    Liouville quantum gravity (LQG) surfaces are a family of random fractal surfaces which can be thought of as the canonical models of random two-dimensional Riemannian manifolds, in the same sense. In this talk I review some of the recent developments in the field of random surfaces and the Dynamical Triangulation approach to simplicial quantum gravity. In two dimensions I focus on the c = 1 barrier and the fractal dimension of two-dimensional quantum gravity coupled to matter with emphasis on the comparison of analytic predictions and.

    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 resolving a variant of a conjecture of Peter Jones. supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from until the middle of Our original intention was to write a research quantum field theory and two-dimensional quantum gravity.

      In theory, if you had all of this information, you could remake that book in exactly the same form. saved on a two-dimensional surface. things like quantum gravity . Furthermore, he argued that M-theory's long wavelength limit, i.e. when the quantum wavelength associated to objects in the theory appear much larger than the size of the 11th dimension, need dimensional supergravity descriptors that fell out of favor with the first superstring revolution 10 years earlier, accompanied by the 2- and 5-branes.


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Two dimensional quantum gravity and random surfaces by Jerusalem Winter School for Theoretical Physics. (8th 1990-1991 Jerusalem) Download PDF EPUB FB2

In the past few years there has been much study of random two-dimensional surfaces. These provide simple models of Two dimensional quantum gravity and random surfaces book 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. 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.

The Cargese Workshop Random Surfaces and Quantum Gravity was held from May 27 to June 2, Little was known about string theory in the non-perturbative regime before Oetober when non-perturbative equations for the string partition functions were found by using methods based on the random triangulations of surfaees.

This Book; Anywhere; Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search Search. Quick Search anywhere. Two Dimensional Quantum Gravity and Random Surfaces.

8th Jerusalem Winter School for Theoretical Physics, Jerusalem, Israel, 12/27/90 AM. Nuclear Physics B (Proc. Suppl.) 26 () North-Holland QUANTUM GRAVITY AND RANDOM SURFACES H. Kawai Department of Physics, University of Tokyo, TokyoJapan We review recent progress in lattice quantum gravity and random surfaces with a particular emphasis given to discussion of two dimensional gravity, dynamical triangulation, matrix models and Regge.

In the last year important progress has been made [1] in non critical string theory (or equivalently two dimensional Quantum Gravity (QG) coupled to matter). Alvarez O., Marinari E., Windey P. (eds) Random Surfaces and Quantum Gravity. NATO ASI Series (Series B: Physics), vol Online ISBN ; eBook Packages Springer.

The theory and simulations of Simplicial Quantum Gravity are reviewed, with emphasize on the nonperturbative aspects.

In matrix models of 2D Gravity the main problem is the divergence of the topological expansion, and in the numerical studies of 2D and 3D Gravity the problem is the lack of continuum limit in the internal geometry.

With chapters on random walks, random surfaces, two-and higher-dimensional quantum gravity, topological quantum field theories and Monte Carlo simulations of random geometries, the text provides a self-contained account of quantum geometry from a statistical field theory point of view.

With chapters on random walks, random surfaces, two- and higher dimensional quantum gravity, topological quantum field theories and Monte Carlo simulations of random geometries, the text provides a self-contained account of quantum geometry from a statistical field theory point of view.

In string theory we wish to perform an integral over two dimensional geometries and a sum over two dimensional topologies, Z∼ X topologies Z DgDXe −S, () where the spacetime physics (in the case of the bosonic string) resides in the conformally invariant action S∝ Z.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): In this talk I review some of the recent developments in the field of random surfaces and the Dynamical Triangulation approach to simplicial quantum gravity. In two dimensions I focus on the c = 1 barrier and the fractal dimension of two-dimensional quantum gravity coupled to matter with emphasis on the comparison of.

The theory of embedded random surfaces, equivalent to two-dimensional quantum gravity coupled to matter, is reviewed, further developed and partly generalized to four dimensions. It is shown that the action of the Liouville field theory that describes random surfaces contains terms that have not been noticed previously.

These terms are used to explain the phase diagram of the Sine-Gordon model. Preface; 1. Introduction; 2. Random walks; 3. Random surfaces; 4.

Two-dimensional gravity; 5. Monte Carlo simulations; 6. Gravity in higher dimensions; 7. Topological. Two-dimensional quantum gravity coupled to conformally invariant matter is a good model for the physics of higher-dimensional gravity, provided the central charge of the matter theory is greater than In particular, the theory has a euclidean saddle point of large negative action, analogous to that considered by Baum, Hawking and Coleman in d = Further, the theory is identical to.

The existence of two kinds of states is important when we combine Liouville theory with a matter conformal field theory to study quantum gravity. If the matter theory has operators with Δtwo-dimensional surface. The holographic principle is a tenet of string theories and a supposed property of quantum gravity that states that the description of a volume of space can be thought of as encoded on a lower-dimensional boundary to the region—such as a light-like boundary like a gravitational proposed by Gerard 't Hooft, it was given a precise string-theory interpretation by Leonard Susskind.

We propose a nonperturbative definition of two-dimensional quantum gravity, based on a double scaling limit of the random matrix model. We develop an operator formalism for utilizing the method of orthogonal polynomials that allows us to solve the matrix models to all orders in the genus expansion.

Using this formalism we derive an exact differential equation for the partition function of two. We resolve renormalization problems, indicated in Ref. 1 and find explicit formulae for the spectrum of anomalous dimensions in 2d—quantum gravity. Comparison with combinatorial approximation of random surfaces and its numerical analyses shows complete agreement with all known facts.

Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1 Two Dimensional Quantum Gravity and Random Surfaces: Jerusalem Winter School for Theoreticalphysic S, Jerusalem, Israel, 27 Dec, Jan, TWO DIMENSIONAL QUANTUM GRAVITY AND RANDOM SURFACES Volume 8 edited by D.

Gross T. Piran and S. Weinberg Jerusalem, Israel 27 Dec Jan 91 UNIVERSITATSEIBLIOTHEK^ HANNOVER i EK, World Scientific Singapore • New Jersey •. @article{osti_, title = {Nonperturbative two-dimensional quantum gravity}, author = {Gross, D J and Migdal, A A}, abstractNote = {We propose a nonperturbative definition of two-dimensional quantum gravity, based on a double-scaling limit of the random-matrix model.

We derive an exact differential equation for the partition function of two-dimensional gravity coupled to conformal matter.random surface embedded light-cone approach critical point two-dimensional quantum gravity one-dimensional hermitian matrix chain model string tension diverges large-n matrix model numerical study linear schroedinger equation hermitian matrix quantum mechanic light-cone quantization matrix model minimal model double-scaling limit free string.

Two Dimensional Quantum Gravity and Random Surfaces - 8th Jerusalem Winter School for Theoretical Physics [Gross, David J, Piran, Tsvi, Weinberg, Steven] on *FREE* shipping on qualifying offers.

Two Dimensional Quantum Gravity and Random Surfaces - 8th Jerusalem Winter School for Theoretical PhysicsFormat: Paperback.