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Natural and Gauge Natural Formalism for Classical Field Theorie

2003-11-30 Science
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Release : 2003-11-30
Genre : Science
Kind : eBook
Book Rating : 032/5 ( reviews)

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Book Synopsis Natural and Gauge Natural Formalism for Classical Field Theorie by : L. Fatibene

Download or read book Natural and Gauge Natural Formalism for Classical Field Theorie written by L. Fatibene. This book was released on 2003-11-30. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors develop and work out applications to gravity and gauge theories and their interactions with generic matter fields, including spinors in full detail. Spinor fields in particular appear to be the prototypes of truly gauge-natural objects, which are not purely gauge nor purely natural, so that they are a paradigmatic example of the intriguing relations between gauge natural geometry and physical phenomenology. In particular, the gauge natural framework for spinors is developed in this book in full detail, and it is shown to be fundamentally related to the interaction between fermions and dynamical tetrad gravity.

Natural and Gauge Natural Formalism for Classical Field Theorie

2013-06-29 Science
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Release : 2013-06-29
Genre : Science
Kind : eBook
Book Rating : 842/5 ( reviews)

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Book Synopsis Natural and Gauge Natural Formalism for Classical Field Theorie by : L. Fatibene

Download or read book Natural and Gauge Natural Formalism for Classical Field Theorie written by L. Fatibene. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors develop and work out applications to gravity and gauge theories and their interactions with generic matter fields, including spinors in full detail. Spinor fields in particular appear to be the prototypes of truly gauge-natural objects, which are not purely gauge nor purely natural, so that they are a paradigmatic example of the intriguing relations between gauge natural geometry and physical phenomenology. In particular, the gauge natural framework for spinors is developed in this book in full detail, and it is shown to be fundamentally related to the interaction between fermions and dynamical tetrad gravity.

Classical Field Theory

2012-05-08 Science
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Release : 2012-05-08
Genre : Science
Kind : eBook
Book Rating : 856/5 ( reviews)

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Book Synopsis Classical Field Theory by : Florian Scheck

Download or read book Classical Field Theory written by Florian Scheck. This book was released on 2012-05-08. Available in PDF, EPUB and Kindle. Book excerpt: The book describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams. Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity (perihelion precession of Mercury, and light deflection by the sun). ------ Textbook features: detailed figures, worked examples, problems and solutions, boxed inserts, highlighted special topics, highlighted important math etc., helpful summaries, appendix, index.

Classical Theory of Gauge Fields

2009-02-09 Science
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Release : 2009-02-09
Genre : Science
Kind : eBook
Book Rating : 091/5 ( reviews)

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Book Synopsis Classical Theory of Gauge Fields by : Valery Rubakov

Download or read book Classical Theory of Gauge Fields written by Valery Rubakov. This book was released on 2009-02-09. Available in PDF, EPUB and Kindle. Book excerpt: Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

Advanced Classical Field Theory

2009 Science
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Release : 2009
Genre : Science
Kind : eBook
Book Rating : 961/5 ( reviews)

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Book Synopsis Advanced Classical Field Theory by : G. Giachetta

Download or read book Advanced Classical Field Theory written by G. Giachetta. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories OCo gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory OCo are presented in a complete way. This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.

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