Fields Strings And Critical Phenomena

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Fields Strings And Critical Phenomena

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Author : E. Brézin
language : en
Publisher: Elsevier Science & Technology
Release Date : 1990

Fields Strings And Critical Phenomena written by E. Brézin and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Hardbound. This session of the Summer School in Theoretical Physics concentrated on the recent advances in areas of physics ranging from (super)strings to field theory and statistical mechanics. The articles contained in this volume provide a stimulating and up-to-date account of a rapidly growing subject.Discussion focussed on the many points of convergence between field theory and statistical mechanics: conformal field theory, field theory on a lattice, the study of strongly correlated electron systems, as in the Hubbard model, leading to topological Lagrangians, which are perhaps the key of the understanding of high Tc superconductivity or the fractional quantum Hall effect. The critical phenomena in (1+1) dimensions, in the domain in which quantum fluctuations are strong, are described for antiferromagnetic couplings by relativistic theories in which the methods of abelian or non-abelian bosonization are particularly powerful.

Strings Fields And Critical Phenomena

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Author : Jan Ambjørn
language : en
Publisher:
Release Date : 1987

Strings Fields And Critical Phenomena written by Jan Ambjørn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.

Conformal Invariance An Introduction To Loops Interfaces And Stochastic Loewner Evolution

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Author : Malte Henkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-05

Conformal Invariance An Introduction To Loops Interfaces And Stochastic Loewner Evolution written by Malte Henkel 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 2012-04-05 with Science categories.

Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.

Conformal Field Theory

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Author : Philippe Francesco
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Conformal Field Theory written by Philippe Francesco 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.

Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.

Applications Of Statistical And Field Theory Methods To Condensed Matter

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Author : Dionys Baeriswyl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Applications Of Statistical And Field Theory Methods To Condensed Matter written by Dionys Baeriswyl 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.

There is no doubt that we have, during the last decade, moved into a "golden age" of condensed matter science. The sequence of discoveries of novel new states of matter and their rapid assimilation into experimental and theoretical research, as well as devices, has been remarkable. To name but a few: spin glasses; incommensurate, fractal, quasicrystal structures; synthetic metals; quantum well fabrication; fractional quantum Hall effect: solid state chaos; heavy fermions; and most spectacularly high-temperature superconductivity. This rapid evolution has been marked by the need to address the reality of materials in "extreme" conditions - - disordered, nonlinear systems in reduced dimensions, restricted geometries and at mesoscopic scales, often with striking competitions between several length and frequency scales, and between strong electron-phonon and electron-electron interactions. In such new territory it is not surprising that very interdisciplinary approaches are being explored and traditional boundaries between subjects and disciplines re-defined. In theory, this is evident, for instance, in attempts: (1) to advance the state of the art for elec tronic structure calculations so as to handle strongly interacting many-body systems and delicate competitions for collective ground states (spin models or many-electron Hamiltoni ans, field theory, band structure, quantum chemistry and numerical approaches); or (2) to understand pattern formation and complex (including chaotic) dynamics in extended sys tems. This demands close involvement with applied mathematics, numerical simulations and statistical mechanics techniques.

Quantum Field Theory In Condensed Matter Physics

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Author : Alexei M. Tsvelik
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-18

Quantum Field Theory In Condensed Matter Physics written by Alexei M. Tsvelik and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-18 with Science categories.

A new edition of a successful advanced text in condensed matter physics.

String Theory Research Progress

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Author : Ferenc N. Balogh
language : en
Publisher: Nova Publishers
Release Date : 2008

String Theory Research Progress written by Ferenc N. Balogh and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Business & Economics categories.

String theory is a model of fundamental physics whose building blocks are one-dimensional extended objects called strings, rather than the zero-dimensional point particles that form the basis for the standard model of particle physics. The phrase is often used as shorthand for Superstring theory, as well as related theories such as M-theory. By replacing the point-like particles with strings, an apparently consistent quantum theory of gravity emerges. Moreover, it may be possible to 'unify' the known natural forces (gravitational, electromagnetic, weak nuclear and strong nuclear) by describing them with the same set of equations. Studies of string theory have revealed that it predicts higher-dimensional objects called branes. String theory strongly suggests the existence of ten or eleven (in M-theory) space-time dimensions, as opposed to the usual four (three spatial and one temporal) used in relativity theory.

Statistical Field Theory

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Author : Giuseppe Mussardo
language : en
Publisher: Oxford University Press
Release Date : 2020-03-26

Statistical Field Theory written by Giuseppe Mussardo and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-26 with Science categories.

Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory. This self-contained book provides a thorough introduction to the fascinating world of phase transitions and frontier topics of exactly solved models in statistical mechanics and quantum field theory, such as renormalization groups, conformal models, quantum integrable systems, duality, elastic S-matrices, thermodynamic Bethe ansatz and form factor theory. The clear discussion of physical principles is accompanied by a detailed analysis of several branches of mathematics distinguished for their elegance and beauty, including infinite dimensional algebras, conformal mappings, integral equations and modular functions. Besides advanced research themes, the book also covers many basic topics in statistical mechanics, quantum field theory and theoretical physics. Each argument is discussed in great detail while providing overall coherent understanding of physical phenomena. Mathematical background is made available in supplements at the end of each chapter, when appropriate. The chapters include problems of different levels of difficulty. Advanced undergraduate and graduate students will find this book a rich and challenging source for improving their skills and for attaining a comprehensive understanding of the many facets of the subject.

Quantum Fields And Strings

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Author : Pierre Deligne
language : en
Publisher: American Mathematical Society(RI)
Release Date : 1999

Quantum Fields And Strings written by Pierre Deligne and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

Ideas from quantum field theory and string theory have had considerable impact on mathematics since the 1980s. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long programme designed to teach mathematicians the basic physical ideas which underlie the mathematical applications.

Field Theory Topology And Condensed Matter Physics

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Author : Hendrik B. Geyer
language : en
Publisher: Springer
Release Date : 1995-08-18

Field Theory Topology And Condensed Matter Physics written by Hendrik B. Geyer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-18 with Mathematics categories.

This topical volume contains five pedagogically written articles on the interplay between field theory and condensed matter physics. The main emphasis is on the topological aspects, and especially quantum Hall fluids, and superconductivity is treated extensively. Other topics are conformal invariance and path integrals. The articles are carefully edited so that the book could ideally serve as a text for special graduate courses.