Cambridge: Cambridge University Press (ISBN 978-0-521-85249-4/hbk). xix, 272 p. £ 30.00; $ 65.00 (2007).
The second edition of this textbook summarizes in less than 300 pages the accumulation of theoretical and experimental facts in the Standard Model of Elementary Particles. The expectancy is that the reader masters the non-relativistic Quantum Mechanics and possesses elementary knowledge of Particle Physics. The main task of the book is to present in a self-contained manner theoretical concepts from electromagnetic and weak interaction of leptons and quarks to the strong interaction of quarks. In the first part of the book, the mathematical foundations are exposed: matrix algebra, Lorentz transformation, symmetry groups, Lagrange formalism, Dirac equation. The field quantization is then introduced and how actually simple Quantum Field calculations are performed is illustrated and the renormalization is qualitatively explained. Symmetry breaking and Miggs-mechanism, massive gauge fields, electroweak theory, the Kobayashi-Masakawa-Matrix and the CP-violation, quantum chromodynamics and Neutrino masses and mixing, anomalies, are disussed in the rest of the book. In the previous edition it was assumed that neutrinos are massless, whereas in the present edition the considerations are extended to non-vanishing neutrino masses. An account of the advances in the theory of strong interactions and neutrino physics is another novelty compared to the first edition. A noticeable feature of the text is that it stays steadily compact and avoids introducing too many details. There are many derivations of the formulas, calculation of processes and illustrative problems at the end of each chapter.