Download or read book Applications of Renormalization Group Recursion Formulas to Problems in Critical Phenomena and Quantum Field Theory written by Geoffrey Robinson Golner and published by . This book was released on 1972 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and published by CRC Press. This book was released on 2018-03-08 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Renormalization Methods written by William David McComb and published by OUP Oxford. This book was released on 2007-11-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is currently widespread interest in applications of renormalization methods to various topics ranging from fluid turbulence to fluctuations in the stock market. This book is unique in demystifying this material for non-specialists.
Download or read book Real Space Renormalization written by T.W. Burkhardt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renormalization-group approach is largely responsible for the considerable success which has been achieved in the last ten years in developing a complete quantitative theory of phase transitions. Before, there was a useful physical picture of phase transitions, but a general method for making accurate quantitative predictions was lacking. Existent theories, such as the mean-field theory of Landau, sometimes reproduce phase diagrams reliably but were known to fail qualitatively near critical points, where the critical behavior is particularly interesting be cause of its universal character. In the mid 1960's Widom found that the singularities in thermodynamic quanti ties were well described by homogeneous functions. Kadanoff extended the homogeneity hypothesis to correlation functions and linked it to the idea of scale invariance. In the early 1970's Wilson showed how Kadanoff's rescaling could be explicitly carried out near the fixed point of a flow in Hamiltonian space. He made the first practical renormalization-group calculation of the flow induced by the elimination of short-wave-length Fourier components of the order-parameter field. The univer sality of the critical behavior emerges in a natural way in this approach, with a different fixed point for each universality class. The discovery by Wilson and Fisher of a systematic expansion procedure in E for a system in d = 4 - E dimen sions was followed by a cascade of calculations of critical quantities as a function of d and of the order-parameter dimensionality n.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Renormalization Group 91 Proceedings Of The 2nd International Conference written by Dmitri V Shirkov and published by World Scientific. This book was released on 1992-04-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included here deal with the many faces of renormalization group formalism as it is used in different branches of theoretical physics. The subjects covered emphasize various applications to the theory of turbulence, chaos, quantum chaos in dynamical systems, spin systems and vector models. Also discussed are applications to related topics such as quantum field theory and chromodynamics, high temperature superconductivity and plasma physics.
Download or read book Applications of the Renormalization Group Approach to Problems in Quantum Field Theory written by Ray Lynn Renken and published by . This book was released on 1985 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Renormalization Group and to Critical Phenomena written by Gérard Toulouse and published by John Wiley & Sons. This book was released on 1977 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications of the Renormalization Group to Critical Phenomena written by David Robert Nelson and published by . This book was released on 1975 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Exact Renormalization Group The Proceedings Of The Workshop written by Alexander Krasnitz and published by World Scientific. This book was released on 1999-08-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of the exact renormalization group started from pioneering work by Wegner and Houghton in the early seventies and, a decade later, by Polchinski, who formulated the Wilson renormalization group for field theory. In the past decade considerable progress has been made in this field, which includes the development of alternative formulations of the approach and of powerful techniques for solving the exact renormalization group equations, as well as widening of the scope of the exact renormalization group method to include fermions and gauge fields. In particular, two very recent results, namely the manifestly gauge-invariant formulation of the exact renormalization group equation and the proof of the c-theorem in four dimensions, are presented in this volume.
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:
Download or read book Random Walks Critical Phenomena and Triviality in Quantum Field Theory written by Roberto Fernandez and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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).
Download or read book Introduction to the Renormalization Group and Its Application to Critical Point Phenomena written by Rizwan Parvez Salim and published by . This book was released on 1978 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
