Renormalization
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Renormalization
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Author : John Clements Collins
language : en
Publisher: Cambridge University Press
Release Date : 1984
Renormalization written by John Clements Collins and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Science categories.
This book provides a coherent exposition of the techniques underlying these calculations.
Renormalization Methods
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Author : William David McComb
language : en
Publisher: OUP Oxford
Release Date : 2003-12-12
Renormalization Methods written by William David McComb and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-12 with Science categories.
This book is unique in occupying a gap between standard undergraduate texts and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation (and motivation), including mean-field theories and high-temperature and low-density expansions. It then proceeds by easy steps to the famous epsilon-expansion, ending up with the first-order corrections to critical exponents beyond mean-field theory. Nowadays there is widespread interest in applications of renormalization methods to various topics ranging over soft condensed matter, engineering dynamics, traffic queueing and fluctuations in the stock market. Hence macroscopic systems are also included, with particular emphasis on the archetypal problem of fluid turbulence. The book is also unique in making this material accessible to readers other than theoretical physicists, as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.
Scaling And Renormalization In Statistical Physics
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Author : John Cardy
language : en
Publisher: Cambridge University Press
Release Date : 1996-04-26
Scaling And Renormalization In Statistical Physics written by John Cardy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-26 with Science categories.
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.
Introduction To The Functional Renormalization Group
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Author : Peter Kopietz
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-03
Introduction To The Functional Renormalization Group written by Peter Kopietz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-03 with Language Arts & Disciplines categories.
This book, based on a graduate course given by the authors, is a pedagogic and self-contained introduction to the renormalization group with special emphasis on the functional renormalization group. The functional renormalization group is a modern formulation of the Wilsonian renormalization group in terms of formally exact functional differential equations for generating functionals. In Part I the reader is introduced to the basic concepts of the renormalization group idea, requiring only basic knowledge of equilibrium statistical mechanics. More advanced methods, such as diagrammatic perturbation theory, are introduced step by step. Part II then gives a self-contained introduction to the functional renormalization group. After a careful definition of various types of generating functionals, the renormalization group flow equations for these functionals are derived. This procedure is shown to encompass the traditional method of the mode elimination steps of the Wilsonian renormalization group procedure. Then, approximate solutions of these flow equations using expansions in powers of irreducible vertices or in powers of derivatives are given. Finally, in Part III the exact hierarchy of functional renormalization group flow equations for the irreducible vertices is used to study various aspects of non-relativistic fermions, including the so-called BCS-BEC crossover, thereby making the link to contemporary research topics.
Universality And Renormalization
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Author : Ilia Binder
language : en
Publisher: American Mathematical Soc.
Release Date :
Universality And Renormalization written by Ilia Binder and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
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).
An Introduction To Gauge Theories And Modern Particle Physics
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Author : Elliot Leader
language : en
Publisher: Cambridge University Press
Release Date : 1996-03-14
An Introduction To Gauge Theories And Modern Particle Physics written by Elliot Leader and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03-14 with Science categories.
A comprehensive treatment of modern theoretical and experimental particle physics, in two volumes.
Dyson Schwinger Equations Renormalization Conditions And The Hopf Algebra Of Perturbative Quantum Field Theory
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Author : Paul-Hermann Balduf
language : en
Publisher: Springer Nature
Release Date : 2024-04-26
Dyson Schwinger Equations Renormalization Conditions And The Hopf Algebra Of Perturbative Quantum Field Theory written by Paul-Hermann Balduf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Science categories.
This book offers a systematic introduction to the Hopf algebra of renormalization in quantum field theory, with a special focus on physical motivation, the role of Dyson–Schwinger equations, and the renormalization group. All necessary physical and mathematical constructions are reviewed and motivated in a self-contained introduction. The main part of the book concerns the interplay between Dyson–Schwinger equations (DSEs) and renormalization conditions. The book is explicit and consistent about whether a statement is true in general or only in particular renormalization schemes or approximations and about the dependence of quantities on regularization parameters or coupling constants. With over 600 references, the original literature is cited whenever possible and the book contains numerous references to other works discussing further details, generalizations, or alternative approaches. There are explicit examples and remarks to make the connection from the scalar fields at hand toQED and QCD. The book is primarily targeted at the mathematically oriented physicist who seeks a systematic conceptual overview of renormalization, Hopf algebra, and DSEs. These may be graduate students entering the field as well as practitioners seeking a self-contained account of the Hopf algebra construction. Conversely, the book also benefits the mathematician who is interested in the physical background of the exciting interplay between Hopf algebra, combinatorics and physics that is renormalization theory today.
The Field Theoretic Renormalization Group In Critical Behavior Theory And Stochastic Dynamics
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Author : A.N. Vasil'ev
language : en
Publisher: CRC Press
Release Date : 2004-04-28
The Field Theoretic Renormalization Group In Critical Behavior Theory And Stochastic Dynamics written by A.N. Vasil'ev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-28 with Science categories.
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
Renormalized Quantum Field Theory
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Author : O.I. Zavialov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Renormalized Quantum Field Theory written by O.I. Zavialov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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Non Perturbative Renormalization
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Author : Vieri Mastropietro
language : en
Publisher: World Scientific
Release Date : 2008
Non Perturbative Renormalization written by Vieri Mastropietro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models.