Group Theory in Subnuclear Physics [Hardcover]

This book is a useful and accessible introduction to symmetry principles in particle physics. Concepts of group theory are clearly explained and their applications to subnuclear physics brought up to date. The book begins with introductions to both the types of symmetries known in physics and to group theory and representation theory. Successive chapters deal with the symmetric groups and their Young diagrams, braid groups, Lie groups and algebras, Cartan's classification of semi-simple groups, and the Lie groups most used in physics are treated in detail. Gauge groups are discussed, and applications to elementary particle physics and multiquark systems introduced throughout the book where appropriate. Many worked examples are also included. There is a growing interest in the quark structure of hadrons and in theories of particle interactions based on the principle of gauge symmetries. Students and researchers on theoretical physics will make great strides in their work with the ideas and applications found here.

1. Symmetries in quantum mechanics
2. Elements of group theory
3. Linear representations of a group
4. Permutation group Sn
5. Lie groups
6. The orthogonal group
7. The Poincar? group and the Lorenz group
8. Unitary groups
9. Gauge groups
10. Multiquark systems
Appendix A: Conservation Laws
Appendix B: The rearrangement theorem, Schur's lemmas and the orthogonality theorem
Appendix C: Invariant Integration
Appendix D: Dimension of an SU(n) irrep