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Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.
Leading theorists share their important insights into the ongoing quest of theoretical physics to find a quantum theory of gravity.
A riveting true-life thriller and revealing memoir from the daughter of an American intelligence officer—the astonishing true story of two spies and their families on opposite sides of the Cold War. In the summer of 1975, seventeen-year-old Eva Dillon was living in New Delhi with her family when her father was exposed as a CIA spy. Eva had long believed that her father was a U.S. State Department employee. She had no idea that he was handling the CIA’s highest-ranking double agent—Dmitri Fedorovich Polyakov—a Soviet general whose code name was TOPHAT. Dillon’s father and Polyakov had a close friendship that went back years, to their first meeting in Burma in the mid-1960s. At the h...
This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include: mathematical models of dynamical systems in fin...
This book covers the distribution, hydrochemistry and geophysics of the naturally occurring stable isotopes namely: hydrogen, oxygen and radioactive tritium, carbon and other cosmogenic and radiogenic isotopes of the uranium-thorium series, in the oceans and in atmosphere, the earth's surface and ground water. The use of environmental isotopes in the three main areas of natural waters is discussed: origin, dynamics and residence time in natural reservoirs. The origin of the hydrosphere is examined in the light of isotopic, new cosmochemical and recent theoretical results. The book will be of interest to scientists and researchers who use environmental isotopes in solving scientific and practical problems in hydrology, hydrogeology, oceanography, meteorology, hydrogeochemistry and cosmochemistry. Lecturers, students and postgraduates in these fields will also find it useful.
This monograph introduces a newly developed robust-control design technique for a wide class of continuous-time dynamical systems called the “attractive ellipsoid method.” Along with a coherent introduction to the proposed control design and related topics, the monograph studies nonlinear affine control systems in the presence of uncertainty and presents a constructive and easily implementable control strategy that guarantees certain stability properties. The authors discuss linear-style feedback control synthesis in the context of the above-mentioned systems. The development and physical implementation of high-performance robust-feedback controllers that work in the absence of complete information is addressed, with numerous examples to illustrate how to apply the attractive ellipsoid method to mechanical and electromechanical systems. While theorems are proved systematically, the emphasis is on understanding and applying the theory to real-world situations. Attractive Ellipsoids in Robust Control will appeal to undergraduate and graduate students with a background in modern systems theory as well as researchers in the fields of control engineering and applied mathematics.
This book addresses the confinement problem, which quite generally deals with the behavior of non-abelian gauge theories, and the force which is mediated by gauge fields, at large distances. The word “confinement” in the context of hadronic physics originally referred to the fact that quarks and gluons appear to be trapped inside mesons and baryons, from which they cannot escape. There are other, and possibly deeper meanings that can be attached to the term, and these will be explored in this book. Although the confinement problem is far from solved, much is now known about the general features of the confining force, and there are a number of very well motivated theories of confinement which are under active investigation. This volume gives a both pedagogical and concise introduction and overview of the main ideas in this field, their attractive features, and, as appropriate, their shortcomings.
King Lear, one of Shakespeare's darkest and most savage plays, tells the story of the foolish and Job-like Lear, who divides his kingdom, as he does his affections, according to vanity and whim. Lear's failure as a father engulfs himself and his world in turmoil and tragedy. He changes from king to beggar, and finally, to man, in a pattern of loss and discovery which reflects the archetype of tragic wisdom.
This book deals with the mathematical aspects of string theory.