Renormalization methods

critical phenomena, chaos, fractal structures by Annick Lesne

Publisher: J. Wiley in Chichester, New York

Written in English
Cover of: Renormalization methods | Annick Lesne
Published: Pages: 360 Downloads: 24
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Subjects:

  • Renormalization (Physics),
  • Critical phenomena (Physics),
  • Mathematical physics.

Edition Notes

Includes bibliographical references (p. [329]-349) and index.

StatementAnnick Lesne ; translated by Leila Schneps.
Classifications
LC ClassificationsQC174.17.R46 L4813 1998
The Physical Object
Paginationxiv, 360 p. :
Number of Pages360
ID Numbers
Open LibraryOL696281M
ISBN 100471966894
LC Control Number97043772

All the preceding deals with perturbative renormalization theory. In recent years there has been an interesting development of non-perturbative renormalization theory in models in space-times of two and three dimensions, with the use of the methods of constructive field theory. Stochastic Methods for Flow in Porous Media Coping with Uncertainties. Book • Authors: Dongxiao Zhang. By contrast, theoretical treatments using renormalization methods suggest that K may be nearly independent of A 2 so that excluded volume effects on [η] are just those on R G 2 R H. The effects of excluded volume interactions on R G have been considered in detail above (Section ).

Renormalization methods by Annick Lesne Download PDF EPUB FB2

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 interpretations (and motivation), including mean fields theories and /5(8). This book is unique in occupying a gap between standard undergraduate texts and Renormalization methods book advanced texts on quantum field theory.

It covers a range of renormalization methods with a clear physical interpretations (and motivation), including mean fields theories and high-temperature and low-density expansions/5(10).

Originally conceived some thirty years ago in the context of quantum electrodynamics, renormalization methods have progressively developed into an indispensable analytical tool Renormalization methods book in widely varying domains of physics and applied mathematics, such as Renormalization methods book phase transitions and critical phenomena * dynamical systems and chaos * developed turbulence * fractal structures and complex systems *.

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.

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 interpretations (and motivation), including mean fields theories and.

Background field method (3) Unitarity of quantum field theory (18) Fakeons (24) Renormalization of general gauge theories (14) Field-covariant quantum field theory (4) Lorentz violating quantum field theory (11) Renormalization group (14) Infinite reduction of couplings (5) Regularization (5) Conformal field theory (20) Topological field theory (5).

Books. Books on quantum field theory, renormalization and other topics relevant for quantum field theory and renormalization. Adler-Bardeen theorem, Background field method, Renormalization of general gauge theories, Renormalization group, Conformal field theory, Dimensional regularization.

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/5(7). Renormalization is a collection of techniques in quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, that are used to treat infinities arising in calculated quantities by altering values of quantities to compensate for effects of their even if no infinities arose in loop diagrams in quantum field theory, it could.

The renormalization group approach is one of the cornerstones of statistical and theoretical physics. Its impact in these areas has been huge and as a consequence it has also permeated into other fields, such economics, neuroscience or sociology, as the method has been able to approach rather difficult problems/5.

Renormalization Methods: A Guide for Beginners W. McComb Oxford U. Press, New York, $ ( pp.). ISBN Renormalization originated in quan-tum field theory as a method of remov-ing UV divergences in perturbation ex-pansions.

The subsequent development in the s of the renormalization group introduced the novel Author: Uwe C. Täuber. 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.

Renormalization methods: A guide for beginners W. McComb This book is unique in occupying a gap between standard undergraduate texts and more advanced texts on quantum field theory. Posted in Books, Quantum gravity, Adler-Bardeen theorem, Background field method, Renormalization of general gauge theories, Renormalization group, Conformal field theory, Dimensional regularization | Tags: Gauge theories, Quantum field theory, Renormalization, Quantum gravity, Renormalization-group flow, Adler-Bardeen theorem, Background field.

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 meanfield theories and. Introduction 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. Renormalization Methods: A Guide For Beginners eBook: McComb, William David: : Kindle Store/5(7).

Renormalization Methods: A Guide for Beginners by William David McComb Be the first to review this item This book is unique in occupying a gap between standard undergraduate texts and more advanced texts on quantum field theory. 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/5(10). Nevertheless, Renormalization Methods should be an excellent source of material for anyone who plans to lead advanced undergraduates and first-year graduate students beyond the standard course material toward current research topics.

I shall certainly keep the book Author: Uwe C. Täuber. 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 : In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution.

The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and, on the other, to matrix.

There are several books that do this, from Renormalization: an introduction and Renormalization: an introduction to renormalization, the renormalization group, and the operator-product expansion, to Quantum field theory and critical phenomena and Renormalization methods: a guide for beginners; or the more classics Scaling and renormalization in.

Get this from a library. Renormalization methods: a guide for beginners. [W D McComb] -- There is currently widspread interest in applications of renormalization methods to various topics ranging from fluid turbulance to fluctuations in the stock market.

This book is unique in. Fishpond Singapore, Renormalization Methods: A Guide for Beginners by William David McComb W D McCombBuy. Books online: Renormalization Methods: A Guide for Beginners, Free 2-day shipping. Buy Renormalization Methods: A Guide for Beginners (Paperback) at 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, as it requires only the basic physics and mathematics which should be known to most scientists, engineers. Get this from a library. Renormalization methods: a guide for beginners.

[W D McComb] -- 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. In theoretical physics, the curvature renormalization group (CRG) method is an analytical approach to determine the phase boundaries and the critical behavior of topological gical phases are phases of matter that appear in certain quantum mechanical systems at zero temperature because of a robust degeneracy in the ground-state wave g: book.

The methods I shall be describing are applicable to all sorts of quantized fields: the detailed factors are different but the structure of the logical development isjust the same.

Not surprisingly, though, the renormalization procedure breaks down if the theory in question is nonrenormalizable.Renormalization, the procedure in quantum field theory by which divergent parts of a calculation, leading to nonsensical infinite results, are absorbed by redefinition into a few measurable quantities, so yielding finite answers.

Quantum field theory, which is used to calculate the effects of fundamental forces at the quantum level, began with quantum electrodynamics, the quantum theory of.Read "Tensorial Methods and Renormalization in Group Field Theories" by Sylvain Carrozza available from Rakuten Kobo.

The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of ren Brand: Springer International Publishing.