Hardback : $278.00
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 high-temperature and low-density
expansions. It then process by each 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 queuing 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 physics,
as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.
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 high-temperature and low-density
expansions. It then process by each 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 queuing 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 physics,
as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.
What is renormalization?
1: The bedrock problem: why we need renormalization methods
2: Easy applications of renormalization group (RG) to simple
models
3: Mean-field theories for simple models
Renormalized perturbation theories (RPT)
4: Perturbation theory using a control parameter
5: Classical nonlinear systems driven by random noise
6: Application of RPT to turbulence and related problems
Renormalization group
7: Setting the scene: critical phenomena
8: Real-space RG
9: Momentum-space RG
10: Field-theoretic RG
11: Dynamical RG applied to classical nonlinear systems
Appendices
A: Statistical ensembles
B: From statistical mechanics to thermodynamics
C: Exact solutions in one and two dimensions
D: Quantum treatment of the Hamiltonian N-body assembly
E: Generalization of the Bogoliubov variational method to a
spatially-varying magnetic field
Professor William David McComb
Professor of Statistical Physics
University of Edinburgh
Senior Scientific Officer, Theoretical Physics Division, Atomic
Energy Research Establishment, Harwell (1969-71).
Lecturer, Reader and Professor, Edinburgh University (1971-present
time).
Guest Professor, Technical University of Delft, Netherlands
(August-November 1997).
Visiting Fellow, Wolfson College, Cambridge (January-July 1999).
`Review from previous edition Renormalization Methods should be an
excellent source of material for anyone who plans to lead advanced
undergradutes and first-year graduate students beyond the standard
course material toward current research topics.
'
Physics Today
`I think this book is the best introductory textbook on techniques
of renormalization available. It will be a delight to read for
anyone who is encountering the topic for the first time and is
wishing to exploit the methods to pass an exam or in one's
field.
'
Contemporary Physics
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