Nonequilibrium Quantum Field Theory

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Bringing together the key ideas from nonequilibrium statistical mechanics and powerful methodology from quantum field theory, this 2008 book captures the essence of nonequilibrium quantum field theory. Beginning with the foundational aspects of the theory, the book presents important concepts and useful techniques, discusses issues of basic interest, and shows how thermal field, linear response, kinetic theories and hydrodynamics emerge. It also illustrates how these concepts are applied to research topics including nonequilibrium phase transitions, thermalization in relativistic heavy ion collisions, the nonequilibrium dynamics of Bose-Einstein condensation, and the generation of structures from quantum fluctuations in the early Universe. This self-contained book is a valuable reference for graduate students and researchers in particle physics, gravitation, cosmology, atomic-optical and condensed matter physics. It has been reissued as an Open Access publication on Cambridge Core. Contains material not found in any other books A thorough and pedagogical treatment of the subject Places emphasis on physical understanding This title has been reissued as an Open Access publication on Cambridge Core

Quantum Field Theory, as Simply as Possible (1版)

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QUANTUM FIELD THEORY, AS SIMPLY AS POSSIBLE 2023 (H) ISBN： 9780691174297 類別： 物理學Physics 出版社： PRINCETON UNIVERSITY PRESS 作者： ZEE 年份： 2023 裝訂別： 精裝 頁數： 392頁 簡介 Quantum field theory is by far the most spectacularly successful theory in physics, but also one of the most mystifying. Quantum Field Theory, as Simply as Possible provides an essential primer on the subject, giving readers the conceptual foundations they need to wrap their heads around one of the most important yet baffling subjects in physics. Quantum field theory grew out of quantum mechanics in the late 1930s and was developed by a generation of brilliant young theorists, including Julian Schwinger and Richard Feynman. Their predictions were experimentally verified to an astounding accuracy unmatched by the rest of physics. Quantum field theory unifies quantum mechanics and special relativity, thus providing the framework for understanding the quantum mysteries of the subatomic world. With his trademark blend of wit and physical insight, A. Zee guides readers from the classical notion of the field to the modern frontiers of quantum field theory, covering a host of topics along the way, including antimatter, Feynman diagrams, virtual particles, the path integral, quantum chromodynamics, electroweak unification, grand unification, and quantum gravity. A unique and valuable introduction for students and general readers alike, Quantum Field Theory, as Simply as Possible explains how quantum field theory informs our understanding of the universe, and how it can shed light on some of the deepest mysteries of physics. Table of Contents https://press.princeton.edu/books/hardcover/9780691174297/quantum-field-theory-as-simply-as-possible#preview

WHAT IS A QUANTUM FIELD THEORY?

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DescriptionContentsResourcesCoursesAbout the Authors Quantum field theory (QFT) is one of the great achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking greater rigor than they typically find in their courses. Erratum for the book can be found at michel.talagrand.net/erratum.pdf. Maintains balance between mathematical methods and the efficient but non-rigorous methods of physics, clarifying at every step the status of the arguments with respect to rigor Keeps the advanced mathematical tools to a minimum and builds them from the ground up, providing easy access to a broad audience Covers in detail certain fundamental topics, such as renormalization, which are barely touched in most physics books Includes a self-contained introduction to all the physics needed, and in particular the basics of quantum mechanics and special relativity Table of Contents Introduction Part I. Basics: 1. Preliminaries 2. Basics of non-relativistic quantum mechanics 3. Non-relativistic quantum fields 4. The Lorentz group and the Poincaré group 5. The massive scalar free field 6. Quantization 7. The Casimir effect Part II. Spin: 8. Representations of the orthogonal and the Lorentz group 9. Representations of the Poincaré group 10. Basic free fields Part III. Interactions: 11. Perturbation theory 12. Scattering, the scattering matrix and cross sections 13. The scattering matrix in perturbation theory 14. Interacting quantum fields Part IV. Renormalization: 15. Prologue – power counting 16. The Bogoliubov-Parasiuk-Hepp-Zimmermann scheme 17. Counter-terms 18. Controlling singularities 19. Proof of convergence of the BPHZ scheme.