William David McComb (, School of Physics, University of Edinburgh,

Renormalization Methods

A Guide For Beginners

• Gebundenes Buch

Produktbeschreibung

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 and mathematicians.

Produktdetails

• Verlag: OUP Oxford / Oxford University Press
• Seitenzahl: 348
• Englisch
• Abmessung: 245mm x 175mm x 24mm
• Gewicht: 718g
• ISBN-13: 9780198506942
• ISBN-10: 0198506945
• Artikelnr.: 13889808

Autorenporträt

WILLIAM DAVID MCCOMB, School of Physics, University of Edinburgh, UK

Inhaltsangabe

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

Rezensionen

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. I shall certainly keep the book in close reach when preparing for my classes. Physics Today