Introduction to the Classical Theory of Particles and Fields

Introduction to the Classical Theory of Particles and Fields PDF Author: Boris Kosyakov
Publisher: Springer Science & Business Media
ISBN: 3540409343
Category : Science
Languages : en
Pages : 486

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Book Description
This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

Introduction to the Classical Theory of Particles and Fields

Introduction to the Classical Theory of Particles and Fields PDF Author: Boris Kosyakov
Publisher: Springer Science & Business Media
ISBN: 3540409343
Category : Science
Languages : en
Pages : 486

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Book Description
This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

Electrodynamics and Classical Theory of Fields and Particles

Electrodynamics and Classical Theory of Fields and Particles PDF Author: A. O. Barut
Publisher: Courier Corporation
ISBN: 0486158713
Category : Science
Languages : en
Pages : 258

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Book Description
Comprehensive graduate-level text by a distinguished theoretical physicist reveals the classical underpinnings of modern quantum field theory. Topics include space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and more. 1964 edition.

Classical Theory of Gauge Fields

Classical Theory of Gauge Fields PDF Author: Valery Rubakov
Publisher: Princeton University Press
ISBN: 1400825091
Category : Science
Languages : en
Pages : 456

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Book Description
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.

Particles, Fields and Forces

Particles, Fields and Forces PDF Author: Wouter Schmitz
Publisher: Springer
ISBN: 3030128784
Category : Science
Languages : en
Pages : 322

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Book Description
How can fundamental particles exist as waves in the vacuum? How can such waves have particle properties such as inertia? What is behind the notion of “virtual” particles? Why and how do particles exert forces on one another? Not least: What are forces anyway? These are some of the central questions that have intriguing answers in Quantum Field Theory and the Standard Model of Particle Physics. Unfortunately, these theories are highly mathematical, so that most people - even many scientists - are not able to fully grasp their meaning. This book unravels these theories in a conceptual manner, using more than 180 figures and extensive explanations and will provide the nonspecialist with great insights that are not to be found in the popular science literature.

Waves, Particles and Fields

Waves, Particles and Fields PDF Author: Anthony C. Fischer-Cripps
Publisher: CRC Press
ISBN: 0429520603
Category : Science
Languages : en
Pages : 351

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Book Description
Choice Outstanding Title, September 2020 This book fills a gap in the middle ground between quantum mechanics of a single electron to the concept of a quantum field. In doing so, the book is divided into two parts; the first provides the necessary background to quantum theory extending from Planck’s formulation of black body radiation to Schrodinger’s equation; and the second part explores Dirac’s relativistic electron to quantum fields, finishing with an description of Feynman diagrams and their meaning. Much more than a popular account, yet not too heavy so as to be inaccessible, this book assumes no prior knowledge of quantum physics or field theory and provides the necessary foundations for readers to then progress to more advanced texts on quantum field theory. It will be of interest to undergraduate students in physics and mathematics, in addition to an interested, general audience. Features: Provides an extensive yet accessible background to the concepts Contains numerous, illustrative diagrams Presents in-depth explanations of difficult subjects

Classical Field Theory

Classical Field Theory PDF Author: Davison E. Soper
Publisher: Courier Dover Publications
ISBN: 0486462609
Category : Science
Languages : en
Pages : 276

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Book Description
This text concerns continuum mechanics, electrodynamics and the mechanics of electrically polarized media, and gravity. Geared toward advanced undergraduates and graduate students, it offers an accessible approach that formulates theories according to the principle of least action. The chief advantage of this formulation is its simplicity and ease, making the physical content of classical subjects available to students of physics in a concise form. Author Davison E. Soper, a Professor of Physics at the University of Oregon, intended this treatment as a primary text for courses in classical field theory as well as a supplement for courses in classical mechanics or classical electrodynamics. Topics include fields and transformation laws, the principle of stationary action, general features of classical field theory, the mechanics of fluids and elastic solids, special types of solids, nonrelativistic approximations, and the electromagnetic field. Additional subjects include electromagnetically polarized materials, gravity, momentum conservation in general relativity, and dissipative processes.

From Classical to Quantum Fields

From Classical to Quantum Fields PDF Author: Laurent Baulieu
Publisher: Oxford University Press
ISBN: 0198788398
Category : Science
Languages : en
Pages : 951

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Book Description
Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.

Introduction to Classical Field Theory

Introduction to Classical Field Theory PDF Author: Jarrett L Lancaster
Publisher: Morgan & Claypool Publishers
ISBN: 1643270842
Category : Science
Languages : en
Pages : 168

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Book Description
This book is a short introduction to classical field theory, most suitable for undergraduate students who have had at least intermediate-level courses in electromagnetism and classical mechanics. The main theme of the book is showcasing role of fields in mediating action-at-a-distance interactions. Suitable technical machinery is developed to explore at least some aspect of each of the four known fundamental forces in nature. Beginning with the physically-motivated introduction to field theory, the text covers the relativistic formulation of electromagnetism in great detail so that aspects of gravity and the nuclear interaction not usually encountered at the undergraduate level can be covered by using analogies with familiar electromagentism. Special topics such as the behavior of gravity in extra, compactified dimensions, magnetic monopoles and electromagnetic duality, and the Higgs mechanism are also briefly considered.

Classical Field Theory

Classical Field Theory PDF Author: Horaƫiu Năstase
Publisher: Cambridge University Press
ISBN: 1108757901
Category : Science
Languages : en
Pages : 483

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Book Description
Classical field theory predicts how physical fields interact with matter, and is a logical precursor to quantum field theory. This introduction focuses purely on modern classical field theory, helping graduates and researchers build an understanding of classical field theory methods before embarking on future studies in quantum field theory. It describes various classical methods for fields with negligible quantum effects, for instance electromagnetism and gravitational fields. It focuses on solutions that take advantage of classical field theory methods as opposed to applications or geometric properties. Other fields covered includes fermionic fields, scalar fields and Chern–Simons fields. Methods such as symmetries, global and local methods, Noether theorem and energy momentum tensor are also discussed, as well as important solutions of the classical equations, in particular soliton solutions.

Geometry, Particles, and Fields

Geometry, Particles, and Fields PDF Author: Bjørn Felsager
Publisher:
ISBN:
Category : Electromagnetism
Languages : en
Pages : 668

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Book Description
Teil 1: Basic properties of particles and fields. Teil 2: Basic principles and applications of differential geometry