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Renormalization Group In Critical Phenomena And Quantum Field Theory
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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.
Book Synopsis Field Theory, The Renormalization Group, And Critical Phenomena: Graphs To Computers (3rd Edition) by : Daniel J Amit
Download or read book Field Theory, The Renormalization Group, And Critical Phenomena: Graphs To Computers (3rd Edition) written by Daniel J Amit and published by World Scientific Publishing Company. This book was released on 2005-06-21 with total page 568 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. 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
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.
Book Synopsis Quantum Field Theory and Critical Phenomena by : Jean Zinn-Justin
Download or read book Quantum Field Theory and Critical Phenomena written by Jean Zinn-Justin and published by Oxford University Press, USA. This book was released on 1993 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics by : A.N. Vasil'ev
Download or read book The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics written by A.N. Vasil'ev and published by CRC Press. This book was released on 2004-04-28 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :D. J. Amit Publisher :World Scientific Publishing Company Incorporated ISBN 13 :9789812561190 Total Pages :543 pages Book Rating :4.5/5 (611 download)
Book Synopsis Field Theory, the Renormalization Group, and Critical Phenomena by : D. J. Amit
Download or read book Field Theory, the Renormalization Group, and Critical Phenomena written by D. J. Amit and published by World Scientific Publishing Company Incorporated. This book was released on 2005-01-01 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Field Theory, the Renormalization Group, and Critical Phenomena by : Daniel J. Amit
Download or read book Field Theory, the Renormalization Group, and Critical Phenomena written by Daniel J. Amit and published by . This book was released on 1984 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Renormalization Group in Critical Phenomena and Quantum Field Theory by :
Download or read book Renormalization Group in Critical Phenomena and Quantum Field Theory written by and published by . This book was released on 1974 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Field Theory, the Renormalization Group, and Critical Phenomena by : D. J. Amit
Download or read book Field Theory, the Renormalization Group, and Critical Phenomena written by D. J. Amit and published by . This book was released on 1978 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Field Theory and Critical Phenomena by : Jean Zinn-Justin
Download or read book Quantum Field Theory and Critical Phenomena written by Jean Zinn-Justin and published by Oxford University Press. This book was released on 2021 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Renormalization Group in Critical Phenomena and Quantum Field Theory by : James D. Gunton
Download or read book Renormalization Group in Critical Phenomena and Quantum Field Theory written by James D. Gunton and published by . This book was released on 1973 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction To The Theory Of Critical Phenomena: Mean Field, Fluctuations And Renormalization (2nd Edition) by : Dimo I Uzunov
Download or read book Introduction To The Theory Of Critical Phenomena: Mean Field, Fluctuations And Renormalization (2nd Edition) written by Dimo I Uzunov and published by World Scientific Publishing Company. This book was released on 2010-08-31 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.
Book Synopsis The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics by : A.N. Vasil'ev
Download or read book The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics written by A.N. Vasil'ev and published by CRC Press. This book was released on 2004-04-28 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Field Theoretic Renormalization Group in Fully Developed Turbulence by : L.Ts Adzhemyan
Download or read book Field Theoretic Renormalization Group in Fully Developed Turbulence written by L.Ts Adzhemyan and published by CRC Press. This book was released on 1999-03-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renormalization group (RG) theory of fully developed hydrodynamical turbulence is a new and developing field of research. This book gives a detailed and comprehensive review of the results obtained using this theory over the past 20 years. The authors have systematically adopted the highly successful field theoretic RG technique, which has a reliable base in the form of quantum- field renormalization theory, involves powerful and convenient methods of calculation such as analytic regularization and minimal subtractions, and allows one to obtain results which are difficult to achieve using other methods. In the first chapter the basic theory and technique are presented, while the next chapter deals with more advanced aspects of the theory, including the critical dimensions of various composite operators, infrared asymptotic behavior of scaling functions, the equation of spectral energy balance, and calculating the amplitudes in scaling laws. The third chapter presents a series of examples, such as turbulent convection of passive scalar admixture, the influence of anisotropy and gyrotropy, magnetohydrodynamical turbulence, and Langmuir turbulence of plasma. In contrast to more established disciplines, such as the theory of critical phenomena, in the RG theory of turbulence there is as yet no unique and generally accepted calculation technique. For this reason the authors also present the necessary information on the renormalization theory of the RG technique, making the subject accessible to a wide range of readers. The book will therefore be a useful source of reference for students and researchers in turbulence, statistical mechanics, and related fields, including those with no prior experience of using quantum-field techniques.
Book Synopsis Renormalization Group in Critical Phenomena and Quantum Field Theory by :
Download or read book Renormalization Group in Critical Phenomena and Quantum Field Theory written by and published by . This book was released on 1974 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Renormalization Group by : Giuseppe Benfatto
Download or read book Renormalization Group written by Giuseppe Benfatto and published by Princeton University Press. This book was released on 2020-11-10 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scaling and self-similarity ideas and methods in theoretical physics have, in the last twenty-five years, coalesced into renormalization-group methods. This book analyzes, from a single perspective, some of the most important applications: the critical-point theory in classical statistical mechanics, the scalar quantum field theories in two and three space-time dimensions, and Tomonaga's theory of the ground state of one-dimensional Fermi systems. The dimension dependence is discussed together with the related existence of anomalies (in Tomonaga's theory and in 4 -e dimensions for the critical point). The theory of Bose condensation at zero temperature in three space dimensions is also considered. Attention is focused on results that can in principle be formally established from a mathematical point of view. The 4 -e dimensions theory, Bose condensation, as well as a few other statements are exceptions to this rule, because no complete treatment is yet available. However, the truly mathematical details are intentionally omitted and only referred to. This is done with the purpose of stressing the unifying conceptual structure rather than the technical differences or subtleties.
Book Synopsis Renormalization Group in Critical Phenomena and Quantum Field Theory: Proceedings of a Conference. Held at Chestnut Hill, Pa. on 29-31 May 73 by : J. D. Gunton
Download or read book Renormalization Group in Critical Phenomena and Quantum Field Theory: Proceedings of a Conference. Held at Chestnut Hill, Pa. on 29-31 May 73 written by J. D. Gunton and published by . This book was released on 1974 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because the origin of the renormalization group is in quantum field theory and more importantly because applications of the theory in phase transitions have reflected back into quantum field theory it was decided that the conference should cover the renormalization group in critical phenomena and quantum field theory. The conference took place at the Temple University Conference Center at Sugarloaf, Chestnut Hill, Pa on May 29, 30 and 31, 1973. The present publication is the Proceedings of the Conference. (Author).