Based on the author's well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries.After linking symmetries w
Symmetries and Conservation Laws. Quantum Angular Momentum. Tensors and Tensor Operators. Special Relativity and the Physical Particle States. Internal Symmetries. Lie Group Techniques for the Standard Model Lie Groups. Noether's Theorem and Gauge Theories of the First and Second Kinds. Basic Couplings of the Electromagnetic, Weak, and Strong Interactions. Spontaneous Symmetry Breaking and the Unification of the Electromagnetic and Weak Forces. The Goldstone Theorem and the Consequent Emergence on Nonlinear Transforming Massless Goldstone Bosons. The Higgs Mechanism and the Emergence of Mass from Spontaneously Broken Symmetries. Lie Group Techniques for beyond the Standard Model Lie Groups. The Simple Sphere. Beyond the Standard Model.