Geometrical Formulation of Renormalization-Group Method as an Asymptotic AnalysisAuthor :
Paperback
Published : Tuesday 4 April 2023
Description
This book presents a comprehensive account of the renormalization-group (RG) method and its extension, the doublet scheme, in a geometrical point of view. It extract long timescale macroscopic/mesoscopic dynamics from microscopic equations in an intuitively understandable way rather than in a mathematically rigorous manner and introduces readers to a mathematically elementary, but useful and widely applicable technique for analyzing asymptotic solutions in mathematical models of nature. The book begins with the basic notion of the RG theory, including its connection with the separation of scales. Then it formulates the RG method as a construction method of envelopes of the naive perturbative solutions containing secular terms, and then demonstrates the formulation in various types of evolution equations. Lastly, it describes successful physical examples, such as stochastic and transport phenomena including second-order relativistic as well as nonrelativistic fluid dynamics with causality and transport phenomena in cold atoms, with extensive numerical expositions of transport coefficients and relaxation times. Requiring only an undergraduate-level understanding of physics and mathematics, the book clearly describes the notions and mathematical techniques with a wealth of examples. It is a unique and can be enlightening resource for readers who feel mystified by renormalization theory in quantum field theory.
You may also like ...
by
Paperback
04 Apr 2023
Optical physics
€152.09
Extended stock – Dispatch 5-7 days
by
Hardback
02 Apr 2022
Optical physics
€140.39
Extended stock – Dispatch 5-7 days
by
Paperback
13 Aug 2024
Horror and supernatural fiction
€26.90
by
Paperback
09 Jul 2024
Manga and East Asian style / tradition comic books
€16.37
Extended stock – Dispatch 5-7 days
Reviews