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Analytic Aspects Of Quantum Fields

2003-10-14 Science
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Release : 2003-10-14
Genre : Science
Kind : eBook
Book Rating : 035/5 ( reviews)

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Book Synopsis Analytic Aspects Of Quantum Fields by : Andrei A Bytsenko

Download or read book Analytic Aspects Of Quantum Fields written by Andrei A Bytsenko. This book was released on 2003-10-14. Available in PDF, EPUB and Kindle. Book excerpt: One of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist.

Analytic Aspects of Quantum Fields

2003-01-01 Science
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Release : 2003-01-01
Genre : Science
Kind : eBook
Book Rating : 504/5 ( reviews)

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Book Synopsis Analytic Aspects of Quantum Fields by : Andrei A. Bytsenko

Download or read book Analytic Aspects of Quantum Fields written by Andrei A. Bytsenko. This book was released on 2003-01-01. Available in PDF, EPUB and Kindle. Book excerpt: One of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist. Contents: Survey of Path Integral Quantization and Regularization Techniques; The Zeta-Function Regularization Method; Generalized Spectra and Spectral Functions on Non-Commutative Spaces; Spectral Functions of Laplace Operator on Locally Symmetric Spaces; Spinor Fields; Field Fluctuations and Related Variances; The Multiplicative Anomaly; Applications of the Multiplicative Anomaly; The Casimir Effect. Readership: Mathematical and high energy physicists.

Ontological Aspects Of Quantum Field Theory

2002-11-26 Science
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Release : 2002-11-26
Genre : Science
Kind : eBook
Book Rating : 333/5 ( reviews)

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Book Synopsis Ontological Aspects Of Quantum Field Theory by : Meinard Kuhlmann

Download or read book Ontological Aspects Of Quantum Field Theory written by Meinard Kuhlmann. This book was released on 2002-11-26. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory (QFT) provides the framework for many fundamental theories in modern physics, and over the last few years there has been growing interest in its historical and philosophical foundations. This anthology on the foundations of QFT brings together 15 essays by well-known researchers in physics, the philosophy of physics, and analytic philosophy.Many of these essays were first presented as papers at the conference “Ontological Aspects of Quantum Field Theory”, held at the Zentrum für interdisziplinäre Forschung (ZiF), Bielefeld, Germany. The essays contain cutting-edge work on ontological aspects of QFT, including: the role of measurement and experimental evidence, corpuscular versus field-theoretic interpretations of QFT, the interpretation of gauge symmetry, and localization.This book is ideally suited to anyone with an interest in the foundations of quantum physics, including physicists, philosophers and historians of physics, as well as general readers interested in philosophy or science.

Mathematical Aspects of Quantum Field Theory

2010-08-12 Science
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Release : 2010-08-12
Genre : Science
Kind : eBook
Book Rating : 801/5 ( reviews)

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Book Synopsis Mathematical Aspects of Quantum Field Theory by : Edson de Faria

Download or read book Mathematical Aspects of Quantum Field Theory written by Edson de Faria. This book was released on 2010-08-12. Available in PDF, EPUB and Kindle. Book excerpt: Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.

Mathematical Aspects of Quantum Field Theories

2015-01-06 Science
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Release : 2015-01-06
Genre : Science
Kind : eBook
Book Rating : 493/5 ( reviews)

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Book Synopsis Mathematical Aspects of Quantum Field Theories by : Damien Calaque

Download or read book Mathematical Aspects of Quantum Field Theories written by Damien Calaque. This book was released on 2015-01-06. Available in PDF, EPUB and Kindle. Book excerpt: Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras.

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