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From Random Walks to Random Matrices
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From Random Walks to Random Matrices

Book Details

Format Paperback / Softback
ISBN-10 0192856960
ISBN-13 9780192856968
Publisher Oxford University Press
Imprint Oxford University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Dec 15th, 2021
Print length 544 Pages
Weight 1,024 grams
Dimensions 24.50 x 17.20 x 2.50 cms
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The book presents a collection of short, self-contained introductions to important topics in modern theoretical physics, as presented at universities worldwide in seminars and short courses.
Theoretical physics is a cornerstone of modern physics and provides a foundation for all modern quantitative science. It aims to describe all natural phenomena using mathematical theories and models, and in consequence develops our understanding of the fundamental nature of the universe. This books offers an overview of major areas covering the recent developments in modern theoretical physics. Each chapter introduces a new key topic and develops the discussion in a self-contained manner. At the same time the selected topics have common themes running throughout the book, which connect the independent discussions. The main themes are renormalization group, fixed points, universality, and continuum limit, which open and conclude the work.The development of modern theoretical physics has required important concepts and novel mathematical tools, examples discussed in the book include path and field integrals, the notion of effective quantum or statistical field theories, gauge theories, and the mathematical structure at the basis of the interactions in fundamental particle physics, including quantization problems and anomalies, stochastic dynamical equations, and summation of perturbative series.

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