Buch, Englisch, 352 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 605 g
A Guide for Beginners
Buch, Englisch, 352 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 605 g
ISBN: 978-0-19-923652-7
Verlag: Oxford University Press(UK)
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 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 queueing 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 physicists, as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.
Autoren/Hrsg.
Fachgebiete
- Wirtschaftswissenschaften Wirtschaftswissenschaften Wirtschaftswissenschaften: Allgemeines
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
- Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein
- Naturwissenschaften Physik Quantenphysik Teilchenphysik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
- Naturwissenschaften Chemie Physikalische Chemie
- Naturwissenschaften Physik Physik Allgemein
Weitere Infos & Material
- 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
