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Mathematical physics --- Renormalization group --- Congresses

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Critical phenomena (Physics). --- Renormalization group. --- Turbulence.

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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 calculations. After reminding the reader of some basic properties of field theories, examples are used to explain the problems to be treated. Then the technique of dimensional regularization and the renormalization group. Finally a number of key applications are treated, culminating in the treatment of deeply inelastic scattering.

Renormalization (Physics) --- Renormalization group. --- Particles (Nuclear physics) --- Scattering (Physics)

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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 presented here. This text can also serve as an ideal reference on applications of Quantum Field Theory (QFT). The author gives a comprehensive treatment of the subject, but in a manner easily understood by anyone familiar with the basic of statistical physics. Both students and working scientists can benefit from this text. OTI #1 C2417

Critical phenomena (Physics). --- Renormalization group. --- Statistical physics. --- Stochastic processes.

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Critical phenomena is one of the most exciting areas of modern physics. This 2007 book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics.

Critical phenomena (Physics) --- Renormalization group --- Renormalization group. --- Group, Renormalization --- Quantum field theory --- Statistical mechanics --- Phenomena, Critical (Physics) --- Physics