Wu-ki Tung Group Theory In Physics Pdf — Free Forever

This is perhaps the strongest section of the book. For many students, the relationship between the Lorentz Group and the Poincaré Group is a source of endless confusion. Tung provides the clearest derivation of the irreducible representations of the Poincaré Group. This is the mathematical bedrock of Special Relativity. If you want to truly understand what "mass" and "spin" are from a group-theoretic perspective (Wigner’s classification), this is the chapter you read.

For the particle physicist, this is the payoff. The text dives deep into SU(3) flavor symmetry. It explains the Eightfold Way, the Quark Model, and the derivation of mass formulas. Unlike abstract math texts, Tung constantly references experimental data and particle states, bridging the gap between the math on the page and the particles in the accelerator.

  • Representations
  • SU(2) and angular momentum
  • SU(3) and flavor symmetry
  • Tensor methods & Wigner–Eckart theorem
  • Applications in particle physics
  • Worked examples & exercises (with solutions)
  • Appendix: tables (CG coefficients, dimensions), further reading, references.

    • Wu-ki Tung is a distinguished physicist known for his work in theoretical high-energy physics. Unlike many group theory texts written by pure mathematicians, Tung’s perspective is unapologetically that of a physicist. He doesn’t just prove theorems; he builds physical intuition. Wu-ki Tung Group Theory In Physics Pdf

    Tung earned his Ph.D. from the University of Chicago and spent much of his career at the Illinois Institute of Technology (IIT). His insight was that physicists do not need the full, abstract machinery of a mathematicians' group theory treatise (like Serre or Lang). Instead, they need a practical, working knowledge of Lie groups, Lie algebras, and representation theory—specifically as they apply to angular momentum, particle classification, and relativistic wave equations.

    His book, first published in 1985 by World Scientific, has remained in print because it fills a specific niche: it is advanced enough for graduate students but accessible enough for self-study. This is perhaps the strongest section of the book

    Wu-Ki Tung was not just a mathematician; he was a particle physicist. This distinction is crucial. Many group theory textbooks spend hundreds of pages on finite groups, molecular symmetries (useful for chemists), or crystallography. Tung, however, cuts straight to the chase:

    How do we use groups to classify elementary particles? Representations

    The book is laser-focused on Lie Groups—the continuous groups that define the symmetries of space-time (Lorentz/Poincaré groups) and internal symmetries (SU(3), SU(2), etc.).