Symmetry and group theory in particle physics: an introduction to spacetime and internal symmetries

Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order tounderstand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guideor as course book for topical lectures. Written by leading experts in the field Tutorial introduction and overview, suitable as both reference and self-study guide Contains a large number of problems INDICE: Introduction to Lie Groups and their Representations.- The Rotation Group.- The Homogeneous Lorentz Group.- The Poincare Transformation.- One Particle and Two Particle States.- Discrete Operations.- Relativistic Equations.- Unitary Symmetries.- Gauge Symmetries.- Rotation Matrices and Clebsch-GordanCoeficients.- Symmetric Goups and Identical Particles.- Young Tableaux and Irreducible Representations ot he Unitary Groups.- Solutions.- Index.

• ISBN: 978-3-642-15481-2
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 310
• Fecha Publicación: 01/11/2010
• Nº Volúmenes: 1
• Idioma: Inglés