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.
Reihe
Sprache
Verlagsort
Maße
Höhe: 254 mm
Breite: 178 mm
Dicke: 10 mm
Gewicht
ISBN-13
978-1-64327-081-4 (9781643270814)
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Schweitzer Klassifikation
Jarrett Lancaster obtained a B.S. in physics and applied mathematics from the University of North Carolina at Greensboro and his Ph.D. in physics from New York University. His research focuses on dynamics of low-dimensional quantum systems and emergent phenomena. He worked previously as a postdoctoral researcher at the Joint School of Nanoscience and Nanoengineering in Greensboro, NC and as Visiting Assistant Professor of Physics at Roanoke College in Salem, VA. Currently he is an Assistant Professor of Physics at High Point University in High Point, NC.
- Preface
- Acknowledgements
- Author biography
- 1. Motivation and introduction
- 2. Basics of scalar field theory
- 3. Electromagnetism
- 4. Yang-Mills theory
- 5. Gravity as a field theory
- Appendix A: Mathematical results
