Uncovering Quantum Field Theory and the Standard Model

Wolfgang Bietenholz is Professor of physics at the National Autonomous University of Mexico (UNAM). His research focuses on lattice field theory with applications to elementary particles and condensed matter. He also writes articles on physics, mathematics, and the history of science for a broader audience. He studied at ETH Zürich and the University of Bern, and held previous positions at CBPF in Rio de Janeiro, the Massachusetts Institute of Technology, Deutsches Elektronen-Synchrotron (DESY), NORDITA, and the Humboldt University in Berlin. Uwe-Jens Wiese is Professor at the University of Bern, and his research is focused on strongly interacting quantum systems in particle and condensed matter physics. He studied at the University of Hannover, and he previously held positions at the Deutsches Elektronen-Synchrotron (DESY) and the Massachusetts Institute of Technology (MIT), where his work has been recognized by an Afred P. Sloan Fellowship. He was a recipient of an ERC Advanced Grant for the duration from 2014 to 2019, and of a Humboldt Research Award in 2022.

Preface; Part I. Quantum Field Theory: Ouverture: concepts of quantum field theory; 1. Basics of quantum field theory; 2. Scalar field theory and canonical quantization; 3. From particles to wavicles and back; 4. Perturbative scalar field functional integral in dimensional regularization; 5. Renormalization group; 6. Quantization of the free electromagnetic field; 7. Charged states in scalar quantum electrodynamics; 8. Canonical quantization of free Weyl, Dirac, and Majorana fermions; 9. Fermionic functional integrals; 10. Chiral symmetry in the continuum and on the lattice; 11. Non-Abelian gauge fields; Part II. Construction of the Standard Model: Intermezzo: concepts of the Standard Model; 12. Spontaneous breakdown of global symmetries: from condensed matter to Higgs bosons; 13. Local symmetry and the Higgs mechanism: from superconductivity to electroweak gauge bosons; 14. Gluons: from confinement to deconfinement; 15. One generation of leptons and quarks; 16. Fermion masses; 17. Several generations and flavor physics of quarks and leptons; Part III. Strong Interaction: 18. Quantum Chromodynamics; 19. Topology of gauge fields; 20. U(1)A-problem; 21. Spectrum of light baryons and mesons; 22. Partons and hard processes; 23. Chiral perturbation theory; 24. Topology of Nambu-Goldstone boson fields; Part IV. Selected Topics beyond the Standard Model: 25. Strong CP-problem; 26. Grand unified theories; Finale; Appendix A. Highlights in the development of particle physics; Appendix B. Units, hierarchies, and fundamental parameters; Appendix C. Structure of Minkowski space-time; Appendix D. Relativistic formulation of classical electrodynamics; Appendix E. From the Galilei to the Poincaré algebra; Appendix F. Lie groups and Lie algebras; Appendix G. Homotopy groups and topology; Appendix H. Monte Carlo method; Appendix I. Phase transitions and critical phenomena; Bibliography; Author Index; Subject Index.