This text describes the role played by wavelet decompositions in quantum field theory. The author postpones the particle interpretation and begins with abstract quantum physics. The quantization of the classical scalar field and of the classical electromagnetic field are then reviewed, and the most basic axiomatic fied theory is discussed. F unctional integrals for imaginary-time-ordered expectations are also introduced, and the connection with classical statistical mechanics and the development of cluster expansion are both emphasized heavily. The renormalization group formalism is developed from the point of view of wavelets, which are closey related to Gaussian fixed points. The ultraviolet renormalization problem is also reviwed. The text concludes with a discussion on the construction and properties of various types of wavelets.
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One of the most interesting theoretical challenges of modern physics has been the combination of special relativity and quantum mechanics into a mathematically consistent theory. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Functional Integral Point of View, Mass Zero Cluster Expansion, Lee-Yang Theorem, Methods of Modern Mathematical Physics, Gauge Theories, Block Spin Construction of Ondelettes, Lecture Notes, Planck's Law, Random Systems, Rolle's Theorem, Bases Hilbertiennes, Fonctions Splines, John Wiley, Localisation Exponentielle, Massless Lattice Theories, New Form of the Mayer Expansion, Nuovo Cimento, Orthonormal Bases of Compactly Supported Wavelets, Princeton University Press, Pure Appl, Pures Appl, Recent Advances, Rigorous Block Spin Approach New!
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Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
One of the most interesting theoretical challenges of modern physics has been the combination of special relativity and quantum mechanics into a mathematically consistent theory. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Functional Integral Point of View, Mass Zero Cluster Expansion, Lee-Yang Theorem, Methods of Modern Mathematical Physics, Gauge Theories, Block Spin Construction of Ondelettes, Lecture Notes, Planck's Law, Random Systems, Rolle's Theorem, Bases Hilbertiennes, Fonctions Splines, John Wiley, Localisation Exponentielle, Massless Lattice Theories, New Form of the Mayer Expansion, Nuovo Cimento, Orthonormal Bases of Compactly Supported Wavelets, Princeton University Press, Pure Appl, Pures Appl, Recent Advances, Rigorous Block Spin Approach New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 63
books:
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- Quantum Physics: A Functional Integral Point of View by James Glimm on 17 pages
- Renormalization Group (Physics Notes) by Giuseppe Benfatto on 12 pages
- Wavelets and their Applications by Mary Beth Ruskai on 11 pages
- Quantum Mechanics: v. 1 by Albert Messiah on 8 pages
- Quantum Mechanics (2 vol. set) by Claude Cohen-Tannoudji on 8 pages
See all 63 books this book cites
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