Introduction to Renormalization Group Methods in Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Renormalization Group Methods in Physics write by R. J. Creswick. This book was released on 2016-06-24. Introduction to Renormalization Group Methods in Physics available in PDF, EPUB and Kindle. This introduction to the renormalization group, an edited and corrected second edition, discusses examples from diverse areas of physics. Designed for a one-semester course for advanced graduate students, the treatment requires a solid background in classical mechanics, statistical mechanics, and quantum mechanics. The text begins with an examination of self-similarity and scale invariance, followed by chapters on the renormalization group approaches to chaos and percolation, renormalization group and critical phenomena, and an extensive treatment of the Ising model. Additional topics include mean field theory and the Gaussian fixed point, the spherical model and the 1/n expansion, the two-dimensional X-Y model and the Kosterlitz-Thouless transition, and other subjects. Each chapter is augmented by problems and references, and three helpful Appendixes supplement the text. AUTHOR: R. J. Creswick is Professor in the Department of Physics and Astronomy, University of South Carolina.
Introduction to a Renormalisation Group Method
Introduction to a Renormalisation Group Method - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to a Renormalisation Group Method write by Roland Bauerschmidt. This book was released on 2019-10-16. Introduction to a Renormalisation Group Method available in PDF, EPUB and Kindle. This is a primer on a mathematically rigorous renormalisation group theory, presenting mathematical techniques fundamental to renormalisation group analysis such as Gaussian integration, perturbative renormalisation and the stable manifold theorem. It also provides an overview of fundamental models in statistical mechanics with critical behaviour, including the Ising and φ4 models and the self-avoiding walk. The book begins with critical behaviour and its basic discussion in statistical mechanics models, and subsequently explores perturbative and non-perturbative analysis in the renormalisation group. Lastly it discusses the relation of these topics to the self-avoiding walk and supersymmetry. Including exercises in each chapter to help readers deepen their understanding, it is a valuable resource for mathematicians and mathematical physicists wanting to learn renormalisation group theory.
Introduction to Renormalization Group Methods in Physics
Introduction to Renormalization Group Methods in Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Renormalization Group Methods in Physics write by Richard J. Creswick. This book was released on 1992. Introduction to Renormalization Group Methods in Physics available in PDF, EPUB and Kindle. The renormalization group (RG) method has found applications in many areas of physics. The authors present simple RG treatments of such diverse problems as random walks, percolation, chaos and critical phenomena. Detailed introductory materials are presented in each area which makes it reasonably self–contained. The concepts of self–similarity and scale invariance are a common thread tying these problems together. Emphasis is placed on intuitive real–space RG calculations rather than formalism. The momentum–space RG is introduced and the 1/n and epsis expansions are discussed. A brief explanation of the field–theoretic approach to the RG serves as an introduction to more advanced techniques.
Introduction to the Functional Renormalization Group
Introduction to the Functional Renormalization Group - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the Functional Renormalization Group write by Peter Kopietz. This book was released on 2010-04-22. Introduction to the Functional Renormalization Group available in PDF, EPUB and Kindle. The renormalization group (RG) has nowadays achieved the status of a meta-theory, which is a theory about theories. The theory of the RG consists of a set of concepts and methods which can be used to understand phenomena in many different ?elds of physics, ranging from quantum ?eld theory over classical statistical mechanics to nonequilibrium phenomena. RG methods are particularly useful to understand phenomena where ?uctuations involving many different length or time scales lead to the emergence of new collective behavior in complex many-body systems. In view of the diversity of ?elds where RG methods have been successfully applied, it is not surprising that a variety of apparently different implementations of the RG idea have been proposed. Unfortunately, this makes it somewhat dif?cult for beginners to learn this technique. For example, the ?eld-theoretical formulation of the RG idea looks at the ?rst sight rather different from the RG approach pioneered by Wilson, the latter being based on the concept of the effective action which is ite- tively calculated by successive elimination of the high-energy degrees of freedom. Moreover, the Wilsonian RG idea has been implemented in many different ways, depending on the particular problem at hand, and there seems to be no canonical way of setting up the RG procedure for a given problem.
Renormalization Group and Effective Field Theory Approaches to Many-Body Systems
Renormalization Group and Effective Field Theory Approaches to Many-Body Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Renormalization Group and Effective Field Theory Approaches to Many-Body Systems write by Achim Schwenk. This book was released on 2012-06-25. Renormalization Group and Effective Field Theory Approaches to Many-Body Systems available in PDF, EPUB and Kindle. There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers.
