Particles and Fields Symmetries : Museum of Wrong : 9781739940690 : 05 Aug 2021 : Symmetries, Particles and Fields is a book of lecture notes for an online course of the same name, freely available on youtube. It grew out of a Master's level course at the University of Cambridge to prepare students for a Ph.D. in theoretical particle physics. Lie groups and Lie algebras are important in the construction of quantum field theories that describe interactions between known particles. One particle states are described in terms of irreducible representations of the Poincare group, a Lie group. Quantum fields may be acted on by operators of the Poincare group. Gauge theories, which describe many of the interactions in the Standard Model of particle physics, also rely on Lie groups. The book assumes knowledge of quantum mechanics, linear algebras, and vector spaces at the undergraduate level. Knowledge of quantum field theory is not required, although the book was designed with the assumptio