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Fearful Symmetry: The Search for Beauty in Modern Physics
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A Zee
"Fearful Symmetry" brings the incredible discoveries of contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, ...
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An Introduction to Quantum Field Theory
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Michael E Peskin, Daniel V Schroeder
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is ...
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Quantum field theory and critical phenomena
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Zinn-Justin
The book is an introduction to quantum field theory and renormalization group.It shows that these frameworks are essential for the understanding of phenomena belonging to many different areas of physics, which range from phase transitions in macroscopic systems to the theory of fundamental interactions. This advanced new edition is based on ...
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Complex Dynamics and Renormalization
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Curtis T McMullen
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As ...
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From Peturbative to Constructive Renormalization
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Vincent Rivasseau, Arthur S Wightman (Editor), Philip W Anderson (Editor)
The last decade has seen striking progress in the subject of renormalization in quantum field theory. The old subject of perturbative renormalization has been revived by the use of powerful methods such as multiscale decompositions; precise estimates have been added to the initial theorems on finiteness of renormalized perturbation theory, with ...
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Renormalization Methods: A Guide for Beginners
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by
William David McComb
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 ...
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Phase Transitions and Renormalization Group
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Jean Zinn-Justin
This work tries to provide an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees of freedom. The existence of a continuum limit requires the appearance of correlations at large distance, a situation that is encountered in second order phase transitions, near the critical ...
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The physics of fluid turbulence
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McComb
Since 1960 the study of turbulence has been enhanced by developments in areas such as laser anemometry, powerful computers, digital data processing and theoretical methods from quantum physics. Turbulence is the archetypal non-linear, non-equilibrium problem of statistical physics; the fundamental problems of turbulence are still unsolved, but ...
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Renormalization Methods: Critical Phenomena, Chaos, Fractal Structures
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by
Annick Lesne
Renormalization analysis reveals how microscopic mechanisms can organize themselves to produce macroscopic consequences. These techniques are applied in various fields of physics, from phase transitions and magnetic systems, to dynamical systems, percolation and fractal structures, random walks, and polymers.
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Statistical Physics: Statics, Dynamics and Renormalization
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by
Leo P Kadanoff
The material presented in this textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behaviour. Thus, this book defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research ...
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Renormalization an introduction to renormalization, the renormalization group, and the operator-product expansion
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by
Collins
Most of the numerical predictions of experimental phenomena in particle physics over the last decade have been made possible by the discovery and exploitation of the simplifications that can happen when phenomena are investigated on short distance and time scales. This book provides a coherent exposition of the techniques underlying these ...
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Density-Matrix Renormalization - A New Numerical Method in Physics: Lectures of a Seminar and Workshop Held at the Max-Planck-Institut F]r Physik Komp
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by
Ingo Peschel (Editor), Matthias Kaulke (Editor), Xiaoqun Wang (Editor)
This book offers the first comprehensive account of the new method of density matrix renormalization. Recent years have seen enormous progress in the numerical treatment of low-dimensional quantum sytems. With this new technique, which selects a reduced set of basis states via density matrices, it has become possible to treat large systems with ...
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Renormalized Supersymmetry
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Olivier Piguet (Editor), Klaus Sibold (Editor)
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Field Theory, the Renormalization Group,
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by
Daniel J Amit, Victor Martin Mayor
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 ...
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Field Theory: The Renormalization Group & Critical Phenomena
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Daniel J Amit
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Combinatorics & Renormalizatio PB
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by
Eduardo R Caianiello
This volume is based upon work done by the author and his collaborators over a period of approximately twenty years and is dedicated to some selected topics of quantum field theory, which have proved of increasing importance with the passing of time. There are three parts: * Combinatoric Methods * Equations for Green's Functions and Perturbative ...
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Renormalization: From Lorentz to Landau (and Beyond)
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by
L M Brown (Editor)
The essays in this volume treat various aspects of renormalization theory in classical and quantum physics. R.S. Mills gives a simple overview of how renormalization works in quantum electrodynamics, showing how to replace the formal charge and mass parameters of the Lagrangian by the corresponding measured values, thus producing a consistent and ...
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Applications of Noncovariant Gauges in T
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by
A Boresch, M Schweda, T Sommer
The aim of this work is to apply the algebraic renormalization procedure to gauge field models quantized in non-standard gauges. The main ingredient of the algebraic renormalization program is the quantum action principle, which allows one to control in a unique manner the breaking of a symmetry induced by a noninvariant subtraction scheme. In ...
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Renormalization Theory
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G P Velo (Editor), A S Wightman (Editor)
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Statistical Physics: Statics, Dynamics a
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by
Leo P Kadanoff
The material presented in this textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behaviour. Thus, this book defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research ...
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Workshop on Radiative Corrections in SU(2)L X U(1) Miramare, Trieste, Italy 6-8 June 1983
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Lynn, Wheater
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Renormalisation in Area-Preserving Maps
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by
R. S. MacKay
This is a corrected and annotated version of the author's seminal PhD thesis, in which two forms of asymptotically universal structure were presented and explained for area-preserving maps. Area-preserving maps are the discrete-time analogue of two degree-of-freedom Hamiltonian systems, and much of their dynamics is reviewed in Chapter 1. The ...
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Introduction to the Renormalization Group and to Critical Phenomena
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by
Gerard Toulouse
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Nonlinear Dynamics and Renormalization Group
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by
Israel Michael Sigal (Editor), C Sulem (Editor)
This book contains the proceedings from the workshop, Nonlinear Dynamics and Renormalization Group, held at the Centre de recherches mathematiques (CRM) in Montreal (Canada), as part of the year-long program devoted to mathematical physics. In the book, active researchers in the fields of nonlinear partial differential equations and ...
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Classical, Discrete Spin Models: Symmetry, Duality, and Renormalization
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by
Hendrik Moraal
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