classical field theory on electrodynamics non abelian gauge theories and gravitation graduate texts in physics

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Classical Field Theory

Author : Florian Scheck
ISBN : 9783662555798
Genre : Science
File Size : 75. 65 MB
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Scheck’s successful textbook presents a comprehensive treatment, ideally suited for a one-semester course. The textbook 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's theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell's 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's 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. The new concept of this edition presents the content divided into two tracks: the fast track for master's students, providing the essentials, and the intensive track for all wanting to get in depth knowledge of the field. Cleary labeled material and sections guide students through the preferred level of treatment. Numerous problems and worked examples will provide successful access to Classical Field Theory.


Author : Florian Scheck
ISBN : 9783662085950
Genre : Science
File Size : 41. 95 MB
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Die Mechanikvorlesung als zumeist erste Berührung mit der Theoretischen Physik hat in der Grundausbildung besonderes Gewicht. Zum einen führt sie in die klassischen Konzepte der Physik des 18. und 19. Jahrhunderts ein, zum anderen zeigt sie deren Lei- stungsfähigkeit und Bedeutung für die moderne Physik. Das vorliegende Buch geht diesen Weg von der Newtonschen Mechanik bis hin zu modernen Fragestellungen der qualitativen und nichtlinearen Dynamik. Begleitet von einfachen, PC-gestützten Beispielen und in einer Darstellung, die den mehr physikalischen Zugang zur Mechanik mit ihren mathematischen Grundlagen verbindet, beginnt das Buch mit der Newtonschen Mechanik, die bis hin zur Streutheorie und dem Virialproblem geführt wird (Kap.1). Es behandelt die kanonische Mechanik in Lagrangescher und Hamilton-Jakobischer Form, unter Einschluß der symplektischen Struktur des Phasenraums und der Elemente der Störungstheorie (Kap.2). Die Theorie des Starren Körpers (Kap.3) wird ebenso entwickelt wie die Grundlagen der speziellen Relativitätstheorie (Kap.4). Kapitel 5 über die geometrischen Aspekte der Mechanik behandelt ihre mathematisch-geometrischen Grundlagen und schlägt die Brücke zur modernen mechanischen Fachliteratur. Kapitel 6 definiert und illustriert die für das Studium nichtlinearer Dynamik und qualitativer Mechanik wesentlichen Begriffe und diskutiert qualitativ und quantitativ wichtige Beispiele für deterministisches Chaos. Das abschließende Kapitel 7 gibt eine kurze Einführung in kontinuierliche Systeme. Das Buch eignet sich als Begleittext zu den Vorlesungen Einführung in die Theoretische Physik, Allgemeine Mechanik, sowie weiterführende Veranstaltungen und zum Ergänzungs- und Selbststudium.

Klassische Feldtheorie

Author : Lev D. Landau
ISBN : 3817113277
Genre : Electrodynamics
File Size : 22. 7 MB
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A Unified Grand Tour Of Theoretical Physics

Author : Ian D. Lawrie
ISBN : 0852740158
Genre : Science
File Size : 70. 31 MB
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A conducted grand tour of the fundamental theories which shape our modern understanding of the physical world. This book covers the central themes of spacetime geometry and the general-relativistic account of gravity; quantum mechanics and quantum field theory; gauge theories and the fundamental forces of nature, statistical mechanics and the theory of phase transitions. The basic structure of each theory is explained in explicit mathematical detail with emphasis on conceptual understanding rather than on the technical details of specialized applications. Straightforward accounts are given of the standard models of particle physics and cosmology, and some of the more speculative ideas of modern theoretical physics are examined. This book is unique in bringing together the diverse areas of physics which are usually treated as independent. Designed to be accessible to final year undergraduates in physics and mathematics and to provide first year graduate students with a broad introductory view of theoretical physics, it will also be of interest to scientists and engineers in other disciplines who need an account of the subject at a level intermediate between semi-popular and technical research.

Quantum Field Theory I

Author : Edouard B. Manoukian
ISBN : 9783319309392
Genre : Science
File Size : 39. 94 MB
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This textbook covers a broad spectrum of developments in QFT, emphasizing those aspects that are now well consolidated and for which satisfactory theoretical descriptions have been provided. The book is unique in that it offers a new approach to the subject and explores many topics merely touched upon, if covered at all, in standard reference works. A detailed and largely non-technical introductory chapter traces the development of QFT from its inception in 1926. The elegant functional differential approach put forward by Schwinger, referred to as the quantum dynamical (action) principle, and its underlying theory are used systematically in order to generate the so-called vacuum-to-vacuum transition amplitude of both abelian and non-abelian gauge theories, in addition to Feynman’s well-known functional integral approach, referred to as the path-integral approach. Given the wealth of information also to be found in the abelian case, equal importance is put on both abelian and non-abelian gauge theories. Particular emphasis is placed on the concept of a quantum field and its particle content to provide an appropriate description of physical processes at high energies, where relativity becomes indispensable. Moreover, quantum mechanics implies that a wave function renormalization arises in the QFT field independent of any perturbation theory - a point not sufficiently emphasized in the literature. The book provides an overview of all the fields encountered in present high-energy physics, together with the details of the underlying derivations. Further, it presents “deep inelastic” experiments as a fundamental application of quantum chromodynamics. Though the author makes a point of deriving points in detail, the book still requires good background knowledge of quantum mechanics, including the Dirac Theory, as well as elements of the Klein-Gordon equation. The present volume sets the language, the notation and provides additional background for reading Quantum Field Theory II - Introduction to Quantum Gravity, Supersymmetry and String Theory, by the same author. Students in this field might benefit from first reading the book Quantum Theory: A Wide Spectrum (Springer, 2006), by the same author.

Classical Field Theory And The Stress Energy Tensor

Author : Mark S. Swanson
ISBN : 9781681741215
Genre : Science
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This book is a concise introduction to the key concepts of classical field theory for beginning graduate students and advanced undergraduate students who wish to study the unifying structures and physical insights provided by classical field theory without dealing with the additional complication of quantization. In that regard, there are many important aspects of field theory that can be understood without quantizing the fields. These include the action formulation, Galilean and relativistic invariance, traveling and standing waves, spin angular momentum, gauge invariance, subsidiary conditions, fluctuations, spinor and vector fields, conservation laws and symmetries, and the Higgs mechanism, all of which are often treated briefly in a course on quantum field theory.

Gauge Theories In Particle Physics

Author : I.J.R. Aitchison
ISBN : 0849387752
Genre : Science
File Size : 36. 4 MB
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Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results. For this two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. Substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons, and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth year courses. Since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended so as to provide a uniquely accessible and self-contained introduction to quantum field dynamics, as described by Feynman graphs. The level is suitable for advanced fourth year undergraduates and first year graduates. These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED; the second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.

Classical And Quantum Electrodynamics And The B 3 Field

Author : Myron Wyn Evans
ISBN : 9812811907
Genre : Science
File Size : 51. 52 MB
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It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field. Contents: Interaction of Electromagnetic Radiation with One Fermion; The Field Equations of Classical O (3) b Electrodynamics; Origin of Electrodynamics in the General Theory of Gauge Fields; Nonlinear Propagation in O (3) b Electrodynamics: Solitons and Instantons; Physical Phase Effects in O (3) b Electrodynamics; Quantum Electrodynamics and the B (3) Field; Quantum Chaos, Topological Indices and Gauge Theories; Field Theory of O (3) b QED and Unification with Weak and Nuclear Interactions; Potential Applications of O (3) b QED; Duality and Fundamental Problems. Readership: Graduate and undergraduates in physics (electromagnetism), differential geometry & topology, electrical & electronic engineering, theoretical & physical chemistry, chaos and dynamical systems.

Non Perturbative Methods In 2 Dimensional Quantum Field Theory

Author : Elcio Abdalla
ISBN : 9789812810151
Genre : Electronic books
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The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings. This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory. Contents: Free Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear a Models: Classical Aspects; Nonlinear a Models OCo Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED 2: Operator Approach; Quantum Chromodynamics; QED 2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics. Readership: Graduate students and researchers in high energy and quantum physics."


Author : Ilka Agricola
ISBN : 9783834896728
Genre : Mathematics
File Size : 77. 72 MB
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Dieses Lehrbuch eignet sich als Fortsetzungskurs in Analysis nach den Grundvorlesungen im ersten Studienjahr. Die Vektoranalysis ist ein klassisches Teilgebiet der Mathematik mit vielfältigen Anwendungen, zum Beispiel in der Physik. Das Buch führt die Studierenden in die Welt der Differentialformen und Analysis auf Untermannigfaltigkeiten des Rn ein. Teile des Buches können auch sehr gut für Vorlesungen in Differentialgeometrie oder Mathematischer Physik verwendet werden. Der Text enthält viele ausführliche Beispiele mit vollständigem Lösungsweg, die zur Übung hilfreich sind. Zahlreiche Abbildungen veranschaulichen den Text. Am Ende jedes Kapitels befinden sich weitere Übungsaufgaben. In der ersten Auflage erschien das Buch unter dem Titel "Globale Analysis". Der Text wurde an vielen Stellen überarbeitet. Fast alle Bilder wurden neu erstellt. Inhaltliche Ergänzungen wurden u. a. in der Differentialgeometrie sowie der Elektrodynamik vorgenommen.

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