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Quantum Geometry: A Statistical Field Theory Approach (Cambridge Monographs on Mathematical Physics)
Jan Ambjørn ,
Bergfinnur Durhuus , and
Thordur Jonsson
Manufacturer: Cambridge University Press
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Binding: Paperback
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ASIN: 052101736X |
Book Description
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.
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Algebraic and Geometric Methods in Mathematical Physics (Mathematical Physics Studies)
Manufacturer: Springer
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Binding: Hardcover
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Group Theory
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ASIN: 0792339096 |
Book Description
This volume contains the expository lectures and a selection of short communications presented at the Summer School Algebraic and Geometric Methods in Mathematical Physics, held in Kaciveli, Crimea, Ukraine, in September 1993. The contributions, by leading experts in the various fields, review the state of the art in many important branches of modern mathematical physics. Special emphasis is given to certain aspects of quantum groups and conformal field theory, spectral theory of differential and pseudodifferential operators, nonlinear integrable PDEs and related problems of algebra, geometry and analysis. A number of topics of current interest is also discussed, such as nonlinear problems of mathematical economics, direct and inverse problems of spectral theory, mathematical statistical mechanics, etc. Audience: Researchers and graduate students in group representations, spectral theory, nonlinear equations, integrable systems, mathematical quantum field theory and statistical mechanics.
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Geometric and Topological Methods for Quantum Field Theory (Contemporary Mathematics)
Manufacturer: American Mathematical Society
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ASIN: 0821840622 |
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Geometric and Topological Methods for Quantum Field Theory: Proceedings of the Summer School Held in Villa De Leyva, Colombia 9 - 27 July 2001
Manufacturer: World Scientific Publishing Company
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ASIN: 9812381317 |
Book Description
This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school.
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Geometric Methods for Quantum Field Theory
Manufacturer: World Scientific Publishing Company
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ASIN: 9810243510 |
Book Description
Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Seiberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline between geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results.
This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, Seiberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants at the school.
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Lecture Notes on Chern-Simons-Witten Theory
Sen Hu , and
E. Witten
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover
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ASIN: 9810239084 |
Customer Reviews:
Not good at all.......2002-04-24
Want to learn topological field theory? Better read Witten's original paper and other papers on geometric quantization. This book is extremely unclear, not well-organized, with a number of mistakes.
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M-Theory and Quantum Geometry (NATO Science Series C:)
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 0792364740 |
Book Description
The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifying theme in this area is the quantisation of geometrical objects. The majority of contributions to this volume cover recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary particles and interactions. The geometrical concept of one-dimensional extended objects (strings) has always been at the core of superstring theory, but recently the focus has shifted to include higher-dimensional objects (D-branes), which play a key role in non-perturbative dynamics of the theory.
Related developments are also described in M-theory, our understanding of quantum effects in black-hole physics, gauge theory of the strong interaction, and the dynamic triangulation construction of the quantum geometry of spacetime.
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Methods of Quantization: Lectures Held at the 39. Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria (Lecture Notes in Physics)
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 3540421009 |
Book Description
The present set of lecture notes gives both a status report and a survey of recent advances for the most important quantization methods in the field theories for elementary particle physics. The first part of the book introduces light-cone quantization as an interesting alternative to the commonly used covariant perturbation theory and functional-integral methods. Next, a general formalism for quantizing systems with constraints, the projection-operator approach, is presented and structural aspects of the renormalization problem for gauge invariant field theories are discussed. Finally, the mathematics underlying the functional-integral quantizaion is reviewed.Suitable as a reference for researchers in the field, the book will prove particularly useful for lecturers and gradjuate students in search of additional reading beyond the standard texts on quantum field theory.
Book Description
This book is written by a well-known expert in classical algebraic geometry. Tyurin's research was specifically in explicit computations to vector bundles on algebraic varieties. This is the only available monograph written from his unique viewpoint.
Ordinary (abelian) theta functions describe properties of moduli spaces of one-dimensional vector bundles on algebraic curves. Non-abelian theta functions, which are the main topic of this book, play a similar role in the study of higher-dimensional vector bundles. The book presents various aspects of the theory of non-abelian theta functions and the moduli spaces of vector bundles, including their applications to problems of quantization and to classical and quantum conformal field theories.
The book is an important source of information for specialists in algebraic geometry and its applications to mathematical aspects of quantum field theory.
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Differential Geometric Methods in Theoretical Physics:Physics and Geometry (NATO Science Series: B:)
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover
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ASIN: 0306438070 |
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- The beginning of the "Scriblerian" tradition in English literature
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Scriblerus (Hesperus Classics)
Alexander Pope
Manufacturer: Hesperus Press
ProductGroup: Book
Binding: Paperback
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The Major Works (Oxford World's Classics)
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The Beggar's Opera (Penguin Classics)
ASIN: 1843910012 |
Customer Reviews:
The beginning of the "Scriblerian" tradition in English literature.......2007-03-26
The "Scriblerians," as they were called, were a group of writers/friends in 18th Century England who congregated periodically and wrote texts together making fun of their contemporaries. Their first work together was this small book-- "The Memoires of Martinus Scriblerus" ... etc., "Scriblerus" for short. Among these writers were two very famous individuals: Jonathan Swift and Alexander Pope. Both Pope and Swift were somewhat misanthropic in their writings, and believed that if one could not write well, one should not write at all. Scriblerus is basically a joint effort of these men in an attempt to ridicule other writers of the age, but much like other Scriblerian satires (Gulliver's Travels, Peri Bathous, etc.) Scriblerus attacks others as well; no one appears to be safe from the viciousness of Swift and Pope (these two being the more dominant personalities). When reading the book, see if you can guess who is writing what-- it is surprisingly difficult to differentiate the voices, if there are any differentiations at all. Then again, Swift and Pope are masters of satire and genius writers to boot. Before attempting more difficult works such as Tale of a Tub and Tristram Shandy, pick up this thin volume and enjoy the flavor of Pope's prose.
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John Gay and the Scriblerians (Critical Studies)
Peter Lewis , and
Nigel Wood
Manufacturer: Palgrave Macmillan
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ASIN: 0312024223 |
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Locke and the Scriblerians: Identity and Consciousness in Early Eighteenth-Century Britain
Christopher Fox
Manufacturer: University of California Press
ProductGroup: Book
Binding: Hardcover
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ASIN: 0520058593 |
Book Description
Through a wide-ranging study of primary sources, Christopher Fox identifies and details a decisive moment in the history of the concept of the self. A key figure here is John Locke; the crucial document, his chapter on "Identity and Diversity" added to the second edition of An Essay Concerning Human Understanding (1694). Locke's new concept of "identity of consciousness" was hotly debated for the next half century in philosophical, theological, and literary circles, and Fox makes a significant contribution in drawing attention to this controversy. By situating The Memoirs of Scriblerus in the debates, Fox also brings needed attention to a Scriblerian performance that deserves to be better known today. Fox's book is necessary reading for anyone interested in the eighteenth century, in Locke and the Scriblerians, and in the larger history of the concepts of "self" and "consciousness."
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A Manner of Correspondence: A Study of the Scriblerus Club
Patricia Carr Bruckmann
Manufacturer: McGill-Queen's University Press
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Binding: Hardcover
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ASIN: 0773515461 |
Books:
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- Sensacional: Mexican Street Graphics
- Sensors and Microsystems: Proceedings of the 3rd Italian Conference Genova, Italy 11-18 February 1998
- Spatial Solitons (Springer Series in Optical Sciences)
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