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Uncovering Quantum Field Theory and the Standard Model
出版済み 3-5週間でお届けいたします。
From Fundamental Concepts to Dynamical Mechanisms Author: Bietenholz, Wolfgang (Universidad Nacional Autonoma de Mexico) / Wiese, Uwe-Jens (Universitat Bern, Switzerland) Publisher: Cambridge University Press ISBN: 9781108472333 Cover: HARDCOVER Date: 2025年01月 DESCRIPTION This textbook provides an accessible introduction to quantum field theory and the Standard Model of particle physics. It adopts a distinctive pedagogical approach with clear, intuitive explanations to complement the mathematical exposition. The book begins with basic principles of quantum field theory, relating them to quantum mechanics, classical field theory, and statistical mechanics, before building towards a detailed description of the Standard Model. Its concepts and components are introduced step by step, and their dynamical roles and interactions are gradually established. Advanced topics of current research are woven into the discussion and key chapters address physics beyond the Standard Model, covering subjects such as axions, technicolor, and Grand Unified Theories. This book is ideal for graduate courses and as a reference and inspiration for experienced researchers. Additional material is provided in appendices, while numerous end-of-chapter problems and quick questions reinforce the understanding and prepare students for their own research. * Parts I, II, and III can each be used for a short one-semester course, or alternatively the entire book can be used for a more comprehensive two- or three-semester course * Adopts a highly pedagogical approach, first introducing the principles of quantum field theory, and establishing a solid conceptual basis, before progressing to more advanced topics and issues of current research * Worked solutions to selected problems are available to instructors, and extensive appendices cover relevant additional material TABLE OF CONTENTS 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 Poincare 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.
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