Gauge Theory and Variational Principles (Dover Books on Physics)

Book Details

• Author: Bleecker, David

• Brand: Dover

• Edition: Illustrated

• Binding: Paperback

• Number Of Pages: 181

• Release Date: 30-12-2005

• ISBN: 9780486445465

• Package Dimensions: 8.5 x 5.5 x 0.5 inches

• Languages: English

About the Book

In this well-organized and rigorously detailed text, David Bleecker introduces readers to the fundamental concepts of gauge theory. Aimed at beginning graduate students and advanced undergraduates in both mathematics and physics, this book offers a self-contained mathematical framework to describe the basic forces of nature and the interactions of subatomic particles.

The text begins by delving into the principle of fiber bundles and connections, providing readers with the foundational knowledge needed to understand more complex topics. It then explores essential concepts such as curvature, particle fields, Lagrangians, and the crucial principle of gauge invariance. The author also covers Lagrange's equation for particle fields, inhomogeneous field equations, and free Dirac electron fields. As the book progresses, it introduces more advanced topics like interactions, calculus on the frame bundle, and the unification of gauge fields and gravitation.

With its blend of mathematical rigor and intuitive ideas, this text is designed to provide students with a deeper understanding of gauge theory and its role in modern physics. The book concludes with references, a selected bibliography, an index of notation, and a general index, making it a comprehensive resource for both students and researchers interested in the mathematical physics of the forces and interactions that govern the universe.