Universality and Renormalization

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871539
Total Pages : 424 pages
Book Rating : 4.8/5 (715 download)

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Book Synopsis Universality and Renormalization by : Ilia Binder

Download or read book Universality and Renormalization written by Ilia Binder and published by American Mathematical Soc.. This book was released on with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a wide range of phenomena in the natural sciences dominated by notions of universality and renormalization. The contributions in this volume are equally broad in their approach to these phenomena, offering the mathematical as well as the perspective of the applied sciences. They explore renormalization theory in quantum field theory and statistical physics, and its connections to modern mathematics as well as physics on scales from the microscopic to the macroscopic. Information for our distributors: Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Universality and Renormalization

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821842730
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Universality and Renormalization by : Ilia Binder

Download or read book Universality and Renormalization written by Ilia Binder and published by American Mathematical Soc.. This book was released on 2007 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a wide range of phenomena in the natural sciences dominated by notions of universality and renormalization. The contributions in this volume are equally broad in their approach to these phenomena, offering the mathematical as well as the perspective of the applied sciences. They explore renormalization theory in quantum field theory and statistical physics, and its connections to modern mathematics as well as physics on scales from the microscopic to the macroscopic. Information for our distributors: Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Scaling, Universality, and Renormalization Group Theory

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Publisher :
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.:/5 (861 download)

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Book Synopsis Scaling, Universality, and Renormalization Group Theory by : Michael E. Fisher

Download or read book Scaling, Universality, and Renormalization Group Theory written by Michael E. Fisher and published by . This book was released on 2000 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scaling and Renormalization in Statistical Physics

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Publisher : Cambridge University Press
ISBN 13 : 9780521499590
Total Pages : 264 pages
Book Rating : 4.4/5 (995 download)

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Book Synopsis Scaling and Renormalization in Statistical Physics by : John Cardy

Download or read book Scaling and Renormalization in Statistical Physics written by John Cardy and published by Cambridge University Press. This book was released on 1996-04-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. It begins with a brief review of phase transitions in simple systems, then goes on to introduce the core ideas of the renormalisation group.

XVIth International Congress on Mathematical Physics

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Publisher : World Scientific
ISBN 13 : 9814304638
Total Pages : 709 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis XVIth International Congress on Mathematical Physics by : Pavel Exner

Download or read book XVIth International Congress on Mathematical Physics written by Pavel Exner and published by World Scientific. This book was released on 2010 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Congress on Mathematical Physics is the flagship conference in this exciting field. Convening every three years, it gives a survey on the progress achieved in all branches of mathematical physics. It also provides a superb platform to discuss challenges and new ideas. The present volume collects material from the XVIth ICMP which was held in Prague, August 2009, and features most of the plenary lectures and invited lectures in topical sessions as well as information on other parts of the congress program. This volume provides a broad coverage of the field of mathematical physics, from dominantly mathematical subjects to particle physics, condensed matter, and application of mathematical physics methods in various areas such as astrophysics and ecology, amongst others.

Field Theory, The Renormalization Group And Critical Phenomena (2nd Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813104147
Total Pages : 412 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Field Theory, The Renormalization Group And Critical Phenomena (2nd Edition) by : Daniel J Amit

Download or read book Field Theory, The Renormalization Group And Critical Phenomena (2nd Edition) written by Daniel J Amit and published by World Scientific Publishing Company. This book was released on 1984-08-31 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.

A Modern Approach to Critical Phenomena

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Publisher : Cambridge University Press
ISBN 13 : 1139460129
Total Pages : 223 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis A Modern Approach to Critical Phenomena by : Igor Herbut

Download or read book A Modern Approach to Critical Phenomena written by Igor Herbut and published by Cambridge University Press. This book was released on 2007-01-04 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical phenomena is one of the most exciting areas of modern physics. This 2007 book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics.

Elements of Phase Transitions and Critical Phenomena

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Publisher : Oxford University Press
ISBN 13 : 0199577226
Total Pages : 373 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Elements of Phase Transitions and Critical Phenomena by : Hidetoshi Nishimori

Download or read book Elements of Phase Transitions and Critical Phenomena written by Hidetoshi Nishimori and published by Oxford University Press. This book was released on 2011 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japanese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the text useful for self-teaching, as well as for classroom learning.

Renormalization Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642024882
Total Pages : 402 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Renormalization Group Theory by : Ulrich Köbler

Download or read book Renormalization Group Theory written by Ulrich Köbler and published by Springer Science & Business Media. This book was released on 2010-04-29 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spin wave theory of magnetism and BCS theory of superconductivity are typical theories of the time before renormalization group (RG) theory. The two theories consider atomistic interactions only and ignore the energy degrees of freedom of the continuous (infinite) solid. Since the pioneering work of Kenneth G. Wilson (Nobel Prize of physics in 1982) we know that the continuous solid is characterized by a particular symmetry: invariance with respect to transformations of the length scale. Associated with this symmetry are particular field particles with characteristic excitation spectra. In diamagnetic solids these are the well known Debye bosons. This book reviews experimental work on solid state physics of the last five decades and shows in a phenomenological way that the dynamics of ordered magnets and conventional superconductors is controlled by the field particles of the infinite solid and not by magnons and Cooper pairs, respectively. In the case of ordered magnets the relevant field particles are called GSW bosons after Goldstone, Salam and Weinberg and in the case of superconductors the relevant field particles are called SC bosons. One can imagine these bosons as magnetic density waves or charge density waves, respectively. Crossover from atomistic exchange interactions to the excitations of the infinite solid occurs because the GSW bosons have generally lower excitation energies than the atomistic magnons. According to the principle of relevance the dynamics is governed by the excitations with the lowest energy. The non relevant atomistic interactions with higher energy are practically unimportant for the dynamics.

Renormalization

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Publisher : Cambridge University Press
ISBN 13 : 1009401769
Total Pages : 393 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Renormalization by : John C. Collins

Download or read book Renormalization written by John C. Collins and published by Cambridge University Press. This book was released on 2023-07-31 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-perturbative Renormalization

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Publisher : World Scientific
ISBN 13 : 9812792392
Total Pages : 303 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Non-perturbative Renormalization by : Vieri Mastropietro

Download or read book Non-perturbative Renormalization written by Vieri Mastropietro and published by World Scientific. This book was released on 2008 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful techniques have been developed allowing to put renormalization on a firm mathematical basis. This book provides a self-consistent and accessible introduction to the sophisticated tools used in the modern theory of non-perturbative renormalization, allowing an unified and rigorous treatment of Quantum Field Theory, Statistical Physics and Condensed Matter models. In particular the first part of this book is devoted to Constructive Quantum Field Theory, providing a mathematical construction of models at low dimensions and discussing the removal of the ultraviolet and infrared cut-off, the verification of the axioms and the validity of Ward Identities with the relative anomalies. The second part is devoted to lattice 2D Statistical Physics, analyzing in particular the theory of universality in perturbed Ising models and the computation of the non-universal critical indices in Vertex or Ashkin-Teller models. Finally the third part is devoted to the analysis of complex quantum fluids showing Luttinger of Fermi liquid behavior, like the 1D or 2D Hubbard model.

Complex Dynamics and Renormalization (AM-135), Volume 135

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Publisher : Princeton University Press
ISBN 13 : 1400882559
Total Pages : 214 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Complex Dynamics and Renormalization (AM-135), Volume 135 by : Curtis T. McMullen

Download or read book Complex Dynamics and Renormalization (AM-135), Volume 135 written by Curtis T. McMullen and published by Princeton University Press. This book was released on 2016-03-02 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the behavior of rational maps and the structure of the Mandelbrot set. The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps.

Renormalization Methods

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Publisher : Oxford University Press
ISBN 13 : 0198506945
Total Pages : 349 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Renormalization Methods by : W. D. McComb

Download or read book Renormalization Methods written by W. D. McComb and published by Oxford University Press. This book was released on 2004 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text fills a gap between undergraduate and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation, proceeds to the epsilon-expansion and ends with the first-order corrections to critical exponents beyond mean-field theory.

The Theory of Critical Phenomena

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Publisher : Oxford University Press
ISBN 13 : 0191660566
Total Pages : 477 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Theory of Critical Phenomena by : J. J. Binney

Download or read book The Theory of Critical Phenomena written by J. J. Binney and published by Oxford University Press. This book was released on 1992-06-11 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.

A Primer to the Theory of Critical Phenomena

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Publisher : Elsevier
ISBN 13 : 0128048360
Total Pages : 254 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis A Primer to the Theory of Critical Phenomena by : Jurgen M. Honig

Download or read book A Primer to the Theory of Critical Phenomena written by Jurgen M. Honig and published by Elsevier. This book was released on 2018-02-05 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Primer to the Theory of Critical Phenomena provides scientists in academia and industry, as well as graduate students in physics, chemistry, and geochemistry with the scientific fundamentals of critical phenomena and phase transitions. The book helps readers broaden their understanding of a field that has developed tremendously over the last forty years. The book also makes a great resource for graduate level instructors at universities. Provides a thorough and accessible treatment of the fundamentals of critical phenomena Offers an in-depth exposition on renormalization and field theory techniques Includes experimental observations of critical effects Includes live examples illustrating the applications of the theoretical material

Phase Transitions and Renormalization Group

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Publisher : Oxford University Press on Demand
ISBN 13 : 0199227195
Total Pages : 465 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Phase Transitions and Renormalization Group by : Jean Zinn-Justin

Download or read book Phase Transitions and Renormalization Group written by Jean Zinn-Justin and published by Oxford University Press on Demand. This book was released on 2007-07-05 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: No further information has been provided for this title.

The Indispensability of Mathematics

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Publisher : Oxford University Press on Demand
ISBN 13 : 0195166612
Total Pages : 183 pages
Book Rating : 4.1/5 (951 download)

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Book Synopsis The Indispensability of Mathematics by : Mark Colyvan

Download or read book The Indispensability of Mathematics written by Mark Colyvan and published by Oxford University Press on Demand. This book was released on 2001 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities essential to our best scientific theories. Recently, the argument has come under serious scrutiny, with many influential philosophers unconvinced of its cogency. This book not only outlines the indispensability argument in considerable detail but also defends it against various challenges.