Lancaster, Jarrett L.,

Introduction to classical field theory : a tour of the fundamental interactions / Jarrett L. Lancaster. - 1 online resource (various pagings) : illustrations (some color). - [IOP release 5] IOP concise physics, 2053-2571 . - IOP (Series). Release 5. IOP concise physics. .

"Version: 20180801"--Title page verso. "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.

Includes bibliographical references.

1. Motivation and introduction -- 1.1. The four fundamental interactions -- 1.2. Particle exchange and force mediation -- 1.3. Examining a simple model -- 1.4. Relativity emerges -- 1.5. The necessity of fields and a conundrum -- 1.6. Exercises 2. Basics of scalar field theory -- 2.1. From oscillators to fields -- 2.2. Lagrange and Hamilton -- 2.3. Hamiltonian with sources -- 2.4. The attractive Yukawa potential -- 2.5. Some relativistic technology -- 2.6. Relativistic field theories - 3. Electromagnetism -- 3.1. Maxwell's equations -- 3.2. Lagrangian formulation -- 3.3. Why like charges repel : the Coulomb potential -- 3.4. Resolution of a conundrum and magnetic energy -- 3.5. The electric field in arbitrary spatial dimension 4. Yang-Mills theory -- 4.1. From Maxwell to Yang-Mills -- 4.2. Nonabelian gauge theory formalism -- 4.3. The static potential -- 4.4. The strong nuclear interaction -- 4.5. Classical color charge dynamics -- 4.6. Effective static quark-antiquar 5. Gravity as a field theory -- 5.1. The trouble with Newtonian gravity -- 5.2. Constructing an appropriate field theory -- 5.3. Emergence of Newton's law of gravity -- 5.4. Interactions of light and matter -- 5.5. A glimpse at general relativit

This book is a short introduction to classical field theory, and is most suitable for undergraduate students who have completed at least intermediate-level courses in electromagnetism and classical mechanics. The main theme of the book is showca




Mode of access: World Wide Web.
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Jarrett Lancaster obtained a BS in Physics and Applied Mathematics from the University of North Carolina at Greensboro and his PhD in Physics from New York University. His research focuses on the dynamics of low-dimensional quantum systems and e

9781643270845 9781643270821

10.1088/978-1-64327-084-5 doi


Field theory (Physics)
Electromagnetism.
Yang-Mills theory.
Gravity.
Electricity, electromagnetism & magnetism.
SCIENCE / Physics / Electromagnetism.

QC173.7 / .L365 2018eb

530.14