Local Quantum Physics: Fields, Particles, Algebras

前表紙
Springer Science & Business Media, 2012/12/06 - 390 ページ
The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature.
 

目次

The book is divided into chapters and sections Some sections but not all
1
3 Time ordered functions 2 4 Covariant perturbation theory Feyn
2
Faradays vision Fields 2 1 Special relativity Poincaré group Lorentz group
25
Action Principle
39
General Quantum Field Theory 53
52
full name of the author written out references to journal articles are indicated
61
OsterwalderSchrader theorem
73
asymptotic particle states 4 3 Coincidence arrangements of detectors
95
Low Dimensional SpaceTime and Braid Group Statistics
192
Modular Automorphisms and Modular Conjugation
216
Modular Automorphisms of Local Algebras
245
Phase Space Nuclearity Split Property Local Equilibrium
254
The Universal Type of Local Algebras
267
The Particle Content
279
3 Remarks on the particle picture and its completeness
289
Niels Bohrs epistemological considerations Realism Physical systems and
304

Von Neumann Algebras CAlgebras WAlgebras
112
few remarks on notation and specific symbols Vectors and matrix elements
127
The Net of Algebras of Local Observables
128
The Vacuum Sector
143
and Exchange Symmetry
149
The BuchholzFredenhagenAnalysis
174
Retrospective and Outlook
323
Supersymmetry
329
The Challenge from General Relativity
332
Bibliography
349
Subject Index
387
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