Renormalization Group In Critical Phenomena And Quantum Field Theory PDF Download
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Author | : Daniel J Amit |
Publisher | : World Scientific Publishing Company |
Total Pages | : 568 |
Release | : 2005-06-21 |
Genre | : Science |
ISBN | : 9813102071 |
Download Field Theory, The Renormalization Group, And Critical Phenomena: Graphs To Computers (3rd Edition) Book in PDF, ePub and Kindle
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. Non-perturbative methods and numerical simulations are introduced in this new edition. Abundant references to research literature complement this matter-of-fact approach. 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.The following new chapters are included:I. Real Space MethodsII. Finite Size ScalingIII. Monte Carlo Methods. Numerical Field Theory
Author | : Daniel J Amit |
Publisher | : World Scientific Publishing Company |
Total Pages | : 412 |
Release | : 1984-08-31 |
Genre | : |
ISBN | : 9813104147 |
Download Field Theory, The Renormalization Group And Critical Phenomena (2nd Edition) Book in PDF, ePub and Kindle
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.
Author | : A.N. Vasil'ev |
Publisher | : CRC Press |
Total Pages | : 704 |
Release | : 2004-04-28 |
Genre | : Science |
ISBN | : 1134389663 |
Download The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics Book in PDF, ePub and Kindle
This volume provides a general field-theoretical picture of critical phenomena and stochastic dynamics and helps readers develop a practical skill for calculations. This education on the practical skill sets this book apart: it is the first to give a full technical introduction to the field. Both general ideas and ...hard... calculations are presen
Author | : Jean Zinn-Justin |
Publisher | : Oxford University Press, USA |
Total Pages | : 1034 |
Release | : 1993 |
Genre | : Language Arts & Disciplines |
ISBN | : |
Download Quantum Field Theory and Critical Phenomena Book in PDF, ePub and Kindle
Describes particle physics and critical phenomena in statistical mechanics in a unified framework, incorporating graduate lecture notes from the 1970s and 1980s at several universities in Europe and the US. Deals with general field theory, functional integrals, and functional methods; renormalization properties of theories with symmetries and specific applications to particle physics; lattice gauge theories and asymptotic freedom in four dimensions; and the role of instantons and the application of instanton calculus to the large-order behavior of perturbation theory and the problem of summation of the perturbative expansion. Several chapters close with exercise, solutions or hints for which are provided. No dates are noted for the previous editions. Annotation copyright by Book News, Inc., Portland, OR
Author | : J. J. Binney |
Publisher | : Oxford University Press |
Total Pages | : 477 |
Release | : 1992-06-11 |
Genre | : Science |
ISBN | : 0191660566 |
Download The Theory of Critical Phenomena Book in PDF, ePub and Kindle
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.
Author | : Jean Zinn-Justin |
Publisher | : Oxford University Press |
Total Pages | : 1074 |
Release | : 2021 |
Genre | : Science |
ISBN | : 0198834624 |
Download Quantum Field Theory and Critical Phenomena Book in PDF, ePub and Kindle
Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamics has been the first example of a Quantum Field Theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. As this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, this text sets out to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group properties are systematically discussed. The notion of effective field theory and the emergence of renormalisable theories are described. The consequences for fine tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised, e.g. in particle physics with progress in neutrino physics and the discovery of the Higgs boson. The presentation has been made more homogeneous througout the volume, and emphasis has been put on the notion of effective field theory and discussion of the emergence of renormalisable theories.
Author | : Nigel Goldenfeld |
Publisher | : CRC Press |
Total Pages | : 417 |
Release | : 2018-03-08 |
Genre | : Science |
ISBN | : 0429962045 |
Download Lectures On Phase Transitions And The Renormalization Group Book in PDF, ePub and Kindle
Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.
Author | : Hidetoshi Nishimori |
Publisher | : OUP Oxford |
Total Pages | : 376 |
Release | : 2010-12-02 |
Genre | : Science |
ISBN | : 019103553X |
Download Elements of Phase Transitions and Critical Phenomena Book in PDF, ePub and Kindle
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 Japenese 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 usefil for self-teaching, as well as for classroom learning.
Author | : W. D. McComb |
Publisher | : Oxford University Press |
Total Pages | : 349 |
Release | : 2004 |
Genre | : Business & Economics |
ISBN | : 0198506945 |
Download Renormalization Methods Book in PDF, ePub and Kindle
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.
Author | : Roberto Fernandez |
Publisher | : Springer Science & Business Media |
Total Pages | : 446 |
Release | : 2013-03-14 |
Genre | : Science |
ISBN | : 3662028662 |
Download Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory Book in PDF, ePub and Kindle
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.