Random Surfaces And Quantum Gravity

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Random Surfaces And Quantum Gravity

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Author : Orlando Alvarez
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Random Surfaces And Quantum Gravity written by Orlando Alvarez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.

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

Web Of Evil

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Author : Judith A. Jance
language : en
Publisher:
Release Date : 2007

Web Of Evil written by Judith A. Jance and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Detective and mystery stories categories.

A woman finds herself the prime suspect when her estranged husband is found murdered.

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

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Author : David J Gross
language : en
Publisher: World Scientific
Release Date : 1991-12-17

Two Dimensional Quantum Gravity And Random Surfaces 8th Jerusalem Winter School For Theoretical Physics written by David J Gross and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-12-17 with categories.

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.

Random Surfaces And 2d Quantum Gravity

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Author : Spain) Workshop on Random Surfaces and 2D Quantum Gravity (1991 : Barcelana
language : en
Publisher:
Release Date : 1992

Random Surfaces And 2d Quantum Gravity written by Spain) Workshop on Random Surfaces and 2D Quantum Gravity (1991 : Barcelana and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

Two Dimensional Quantum Gravity And Random Surfaces

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Author : David J. Gross
language : en
Publisher:
Release Date : 1992

Two Dimensional Quantum Gravity And Random Surfaces written by David J. Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

String Theory And Quantum Gravity 91 Proceedings Of The Trieste Spring School And Workshop

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Author : Jeffrey A Harvey
language : en
Publisher: World Scientific
Release Date : 1992-05-07

String Theory And Quantum Gravity 91 Proceedings Of The Trieste Spring School And Workshop written by Jeffrey A Harvey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-07 with categories.

Probabilistic Methods In Quantum Field Theory And Quantum Gravity

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Author : Poul Henrik Damgaard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Probabilistic Methods In Quantum Field Theory And Quantum Gravity written by Poul Henrik Damgaard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.

Random Surface Interpretations Of Two Dimensional Liouville Quantum Gravity And Yang Mills Theory

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Author : Minjae Park (Scientist in mathematics)
language : en
Publisher:
Release Date : 2022

Random Surface Interpretations Of Two Dimensional Liouville Quantum Gravity And Yang Mills Theory written by Minjae Park (Scientist in mathematics) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.

"The theory of random surfaces (or "sums over surfaces") has its historical roots in quantum gravity, string theory, statistical physics, and combinatorics. This thesis explores random surfaces in two settings: one related to Liouville quantum gravity, and one related to Euclidean Yang-Mills theory in two dimensions." "The first part introduces a specific regularization of Liouville quantum gravity surfaces. It also establishes the Polyakov-Alvarez formula on non-smooth surfaces with Brownian loops instead of the zeta-regularized Laplacian determinant. Consequently, "weighting by a Brownian loop soup" changes the so-called central charge of the regularized random surfaces, as expected in physic literature. This result justifies a definition of Liouville quantum gravity surfaces in the supercritical regime where the central charge is greater than 1." The second part describes continuum Wilson loop expectations on the plane as sums over surfaces, an example of gauge string duality. In contrast to the Gross-Taylor expansion, our weight is explicit as ±N[superscript [chi]] where [chi] is the Euler characteristic, for any gauge group U(N), SO(N), Sp(N/2). Based on the well-established continuum theory in two dimensions, we provide a probabilistic treatment for Wilson loop expectations, also leading to various applications like an alternative proof for the Makeenko-Migdal equation and a connection with a random walk on permutations.

Random Walks Critical Phenomena And Triviality In Quantum Field Theory

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Author : Roberto Fernandez
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Random Walks Critical Phenomena And Triviality In Quantum Field Theory written by Roberto Fernandez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.

Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is 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 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.

String Theory Quantum Gravity And The Unification Of The Fundamental Interactions Proceedings Of The Conference

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Author : Massimo Bianchi
language : en
Publisher: World Scientific
Release Date : 1993-08-27

String Theory Quantum Gravity And The Unification Of The Fundamental Interactions Proceedings Of The Conference written by Massimo Bianchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-27 with categories.

String theory is the candidate for the unification of all fundamental interactions including gravity. In the past few years this active field of research has developed very rapidly and in several different directions. The aim of the conference is to give an overview of the status of the art in string theory through the contributions of the major experts in this field. The main topics include: string unification and effective Lagrangians, N=2 string theories, 2-d quantum gravity, stringy black holes, topological field theory, conformal field theories, strings and quantum field theory.