[Download PDF.1WqW] Quantum Geometry A Statistical Field Theory Approach (Cambridge Monographs on Mathematical Physics)
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Book Details :
Published on: 2005-12-15
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Original language: English
This graduate level text describes in a unified fashion the statistical mechanics of random walks, random surfaces and random higher dimensional manifolds with an emphasis on the geometrical aspects of the theory and applications to the quantization of strings, gravity and topological field theory. 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. The approach uses discrete approximations and develops analytical and numerical tools. Continuum physics is recovered through scaling limits at phase transition points and the relation to conformal quantum field theories coupled to quantum gravity is described. The most important numerical work is covered, but the main aim is to develop mathematically precise results that have wide applications. Many diagrams and references are included. planetmath.org Math for the people by the people. PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is ... Path integral formulation - Wikipedia The path integral formulation of quantum mechanics is a description of quantum theory which generalizes the action principle of classical mechanics. Spring 2017 Graduate Course Descriptions Department of ... Measure theory and Lebesgue integration on the Euclidean space. Convergence theorems. L p spaces and Hilbert spaces. Fourier series. Introduction to abstract measure ... Deferential Geometry A ''2-sphere'' embedded in flat 3-space is a two dimensional [[manifold]] $M$ defined by the equation $x^e x^f \sde_ef = r^2$ -- it is the surface of constant $r ... Home Cambridge University Press Cambridge University Press advances learning knowledge and research worldwide Revistas (A - Z) - CINVESTAV Bsqueda General; Biblioteca de la Unidad Irapuato / T-(462)623-9600; Biblioteca de la Unidad Guadalajara / T-(333)777-3600; Biblioteca de la Unidad Mrida / T-(999 ... Eurasc - New Members - eurasc.org List of the new elected members to the European Academy of Sciences AdS/CFT correspondence - Wikipedia The application of quantum mechanics to physical objects such as the electromagnetic field which are extended in space and time is known as quantum field theory. In ... Philosophy of Biology Internet Encyclopedia of Philosophy Philosophy of Biology. Philosophy of biology is the branch of philosophy of science that deals with biological knowledge. It can be practiced not only by philosophers ... Four postformal stages (Commons) - EarthLink Four Postformal Stages. Michael Lamport Commons and Francis Asbury Richards. Harvard Medical School Department of Education Rhode Island. Michael Lamport Commons Ph.D.
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