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Book
Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity
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Year: 2022 Publisher: Singapore : World Scientific Publishing Company,

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Abstract

The results of renormalized perturbation theory, in QCD and other quantum field theories, are ambiguous at any finite order, due to renormalization-scheme dependence. The perturbative results depend upon extraneous scheme variables, including the renormalization scale, that the exact result cannot depend on. Such 'non-invariant approximations' occur in many other areas of physics, too. The sensible strategy is to find where the approximant is stationary under small variations of the extraneous variables. This general principle is explained and illustrated with various examples. Also dimensional transmutation, RG equations, the essence of renormalization and the origin of its ambiguities are explained in simple terms, assuming little or no background in quantum field theory. The minimal-sensitivity approach leads to 'optimized perturbation theory,' which is developed in detail. Applications to Re⁺e⁻, the infrared limit, and to the optimization of factorized quantities, are also discussed thoroughly.


Book
Non-perturbative field theory
Authors: ---
ISBN: 1009401653 1009401645 Year: 2023 Publisher: Cambridge : Cambridge University Press,

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Providing a new perspective on quantum field theory, this book gives a pedagogical exposition of non-perturbative methods in relativistic quantum field theory and introduces the reader to modern research in theoretical physics. After describing non-perturbative methods in detail, it uses these methods to explore two-dimensional and four-dimensional gauge dynamics. The book concludes with a summary emphasizing the interplay between two- and four-dimensional gauge theories. Aimed at graduate students and researchers, this book covers topics from two-dimensional conformal symmetry, affine Lie algebras, solitons, integrable models, bosonization, and 't Hooft model, to four-dimensional conformal invariance, integrability, large N expansion, Skyrme model, monopoles and instantons. Applications, first to simple field theories and gauge dynamics in two dimensions, and then to gauge theories in four dimensions and quantum chromodynamics in particular, are thoroughly described. Published originally in 2010, this title has been reissued as an Open Access publication on Cambridge Core.


Book
Loops, Knots, Gauge Theories
Authors: ---
Year: 2001 Publisher: Cambridge, GBR : Cambridge University Press,

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Providing a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity, this text reviews loop representation theory, Maxwell theory, Yang-Mills theories, lattice techniques, knot and braid theory, and describes applications in quantum gravity. A final chapter considers future prospects.


Book
Proceedings Of The East Asia Joint Symposium On Fields And Strings 2021 : Osaka City University, 22-27 November 2021
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Year: 2022 Publisher: Singapore : World Scientific Publishing Company,

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This volume contains the proceedings of the East Asia Joint Symposium on Fields and Strings 2021, held at the Media Center of Osaka City University on November 22-27, 2021. About 160 physicists from all over East Asia attended physically or joined online this symposium and more than 50 researchers presented their results in the invited lectures, the short talks or the poster session. Quantum field theory and string theory in the context of several exciting developments were discussed, which include frontiers of supersymmetric gauge theory, anomalies and higher form symmetries, and several issues on quantum gravity and black holes.


Book
The Cosmic Web : Scientific Field Models and Literary Strategies in the Twentieth Century
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ISBN: 1501722980 Year: 2018 Publisher: Cornell University Press

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From the central concept of the field—which depicts the world as a mutually interactive whole, with each part connected to every other part by an underlying field— have come models as diverse as quantum mathematics and Saussure’s theory of language. In The Cosmic Web, N. Katherine Hayles seeks to establish the scope of the field concept and to assess its importance for contemporary thought. She then explores the literary strategies that are attributable directly or indirectly to the new paradigm; among the texts at which she looks closely are Robert Pirsig’s Zen and the Art of Motorcycle Maintenance, Nabokov’s Ada, D. H. Lawrence’s early novels and essays, Borges’s fiction, and Thomas Pynchon’s Gravity’s Rainbow.


Book
Green Alternatives and National Energy Strategy : The Facts behind the Headlines
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ISBN: 142142813X Year: 2011 Publisher: Johns Hopkins University Press

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It is no secret that the United States’ dependence on oil—mostly foreign—puts the country in a precarious position. The United States needs innovative ways not only to power millions of automobiles on its highways but also to secure sustainable sources of fuel for the future. This book presents the latest facts and figures about alternative energy to any physicist, engineer, policymaker, or concerned citizen who needs a reliable source of information on the nation’s looming energy crisis. Philip G. Gallman focuses especially on green vehicles and the interrelationship between their design and various energy sources. He explains simply and clearly the complex energy and automotive engineering issues involved in developing green vehicles, measures their likely effect on energy resource demand, and considers what they might mean for national energy strategy. Addressing problems associated with renewable resources often overlooked or ignored in the popular press, Gallman explains what replacing oil with alternative sources of energy realistically entails. Can the nation satisfy its energy demands with wind turbines, solar power, hydroelectric power, or geothermal power? Is biodiesel or electricity the answer to our gas-guzzling ways? Organized logically and with an accessible narrative, Green Alternatives and National Energy Strategy guides readers through the essential questions and hurdles the United States must answer and overcome to transition from a petroleum-dependent nation to one that runs on sustainable, renewable energy.


Book
Quantum Computing and Communications
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Year: 2022 Publisher: London : IntechOpen,

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This book explains the concepts and basic mathematics of quantum computing and communication. Chapters cover such topics as quantum algorithms, photonic implementations of discrete-time quantum walks, how to build a quantum computer, and quantum key distribution and teleportation, among others.


Book
Wave propagation
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ISBN: 9535149083 953307275X Year: 2011 Publisher: IntechOpen

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The book collects original and innovative research studies of the experienced and actively working scientists in the field of wave propagation which produced new methods in this area of research and obtained new and important results. Every chapter of this book is the result of the authors achieved in the particular field of research. The themes of the studies vary from investigation on modern applications such as metamaterials, photonic crystals and nanofocusing of light to the traditional engineering applications of electrodynamics such as antennas, waveguides and radar investigations.


Book
Ferromagnetic Resonance : Theory and Applications
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ISBN: 953515043X 9535111868 Year: 2013 Publisher: IntechOpen

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The book Ferromagnetic Resonance - Theory and Applications highlights recent advances at the interface between the science and technology of nanostructures (bilayer-multilayers, nanowires, spinel type nanoparticles, photonic crystal, etc.). The electromagnetic resonance techniques have become a central field of modern scientific and technical activity. The modern technical applications of ferromagnetic resonance are in spintronics, electronics, space navigation, remote-control equipment, radio engineering, electronic computers, maritime, electrical engineering, instrument-making and geophysical methods of prospecting.


Book
Mathematics of quantization and quantum fields
Authors: ---
ISBN: 9781009290876 9781009290821 9781009290838 Year: 2022 Publisher: Cambridge Cambridge University Press

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Unifying topics that are scattered throughout the literature, this book offers a definitive review of mathematical aspects of quantization and quantum field theory. It presents both basic and advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. It begins with a discussion of the mathematical structures underlying free bosonic or fermionic fields: tensors, algebras, Fock spaces, and CCR and CAR representations. Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in mathematics and physics. This title, first published in 2013, has been reissued as an Open Access publication on Cambridge Core.

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