Local Quantum Physics Fields, Particles, Algebras

By: Haag, RudolfLanguage: English Series: Texts and monographs in physicsPublication details: Berlin Springer 1996Edition: 2nd EditionDescription: xv, 390 pISBN: 9783540610496 (PB)Subject(s): Quantum field theory | Physics
Contents:
I. Background II. General Quantum Field Theory III. Algebras of Local Observables and Fields IV. Charges, Global Gauge Groups and Exchange Symmetry V. Thermal States and Modular Automorphisms VI. Particles, Completeness of the Particle Picture VII. Principles and Lessons of Quantum Physics. A Review of Interpretations, Mathematical Formalism and Perspectives VIII. Retrospective and Outlook
Summary: This textbook gives a comprehensive account of local quantum physics, understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach it describes the physical concepts, the mathematical structures, and their consequences. These include the emergence of the particle picture, general collision theory covering the cases of massless particles and infraparticles, and the analysis of possible charge structures and exchange symmetries, including braid group statistics. Thermal states of an unbounded medium and local equilibrium are discussed in detail. The author, one of the most original researchers in this field, takes care both to describe the ideas and to give a critical assessment of future perspectives. The new edition contains numerous improvements and a new chapter concerning formalism and interpretation of quantum theory. "Under his influence the synthesis of relativity, quantum theory and the theory of operator algebras now called algebraic quantum field theory has proven itself to be extremely flexible and powerful. / ... / This book is by no means the summa of the field of algebraic quantum field theory" Stephen J. Summers, Gainesville, FL, Mathematical Reviews, Issue 94d, USA 1994 "Indeed, both the expert in the field and the novice will enjoy Haag's insightful exposition of the basic physics behind the abstract mathematics, and his unique way of making complicated mathematical theorems plausible without getting bogged down in tedious details. / ... / This book is bound to occupy a place on a par with other classics in the mathematical physics literature." Meinhard E. Mayer, University of California, Irvine, Physics Today, May 1993
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I. Background
II. General Quantum Field Theory
III. Algebras of Local Observables and Fields
IV. Charges, Global Gauge Groups and Exchange Symmetry
V. Thermal States and Modular Automorphisms
VI. Particles, Completeness of the Particle Picture
VII. Principles and Lessons of Quantum Physics. A Review of Interpretations, Mathematical Formalism and Perspectives
VIII. Retrospective and Outlook

This textbook gives a comprehensive account of local quantum physics, understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach it describes the physical concepts, the mathematical structures, and their consequences. These include the emergence of the particle picture, general collision theory covering the cases of massless particles and infraparticles, and the analysis of possible charge structures and exchange symmetries, including braid group statistics. Thermal states of an unbounded medium and local equilibrium are discussed in detail. The author, one of the most original researchers in this field, takes care both to describe the ideas and to give a critical assessment of future perspectives. The new edition contains numerous improvements and a new chapter concerning formalism and interpretation of quantum theory. "Under his influence the synthesis of relativity, quantum theory and the theory of operator algebras now called algebraic quantum field theory has proven itself to be extremely flexible and powerful. / ... / This book is by no means the summa of the field of algebraic quantum field theory" Stephen J. Summers, Gainesville, FL, Mathematical Reviews, Issue 94d, USA 1994 "Indeed, both the expert in the field and the novice will enjoy Haag's insightful exposition of the basic physics behind the abstract mathematics, and his unique way of making complicated mathematical theorems plausible without getting bogged down in tedious details. / ... / This book is bound to occupy a place on a par with other classics in the mathematical physics literature." Meinhard E. Mayer, University of California, Irvine, Physics Today, May 1993

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