Journal ArticleDOI
New super-selection sectors (``soliton-states'') in two dimensional Bose quantum field models
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In this paper, a rigorous construction of new superselection selectors for the quantum sine-Gordon equation and the (φ·φ)2-quantum field models with explicitly broken isospin symmetry in two space-time dimensions is presented.Abstract:
A rigorous construction of new super-selection selectors — so-called “soliton-sectors” — for the quantum “sine-Gordon” equation and the (φ·φ)2-quantum field models with explicitly broken isospin symmetry in two space-time dimensions is presented These sectors are eigenspaces of the chargeQ≡∫dx(grad φ)(x) with non-zero eigenvalue The scattering theory for quantum solitons is briefly discussed and shown to have consequences for the physics in the vacuum sector A general theory is developed which explains why soliton-sectors may exist for theories in two but not in four space-time dimensions except possibly for non-abelian Yang-Mills theoriesread more
Citations
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Journal ArticleDOI
Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
Sergio Doplicher,John E. Roberts +1 more
TL;DR: In this paper, the superselection structure in the vacuum sector can be described by a unique compact global gauge group acting on a field algebra generated by field operators which commute or anticommute at spacelike separations.
Journal ArticleDOI
Locality and the structure of particle states
TL;DR: In this paper, the authors derive localization properties of massive particle states which hold in all models of relativistic quantum theory, including gauge theories, starting from the principle of locality of observables.
Journal ArticleDOI
Standard and split inclusions of von Neumann algebras
Sergio Doplicher,Roberto Longo +1 more
Book ChapterDOI
Statistics of Fields, the Yang-Baxter Equation, and the Theory of Knots and Links
TL;DR: In this paper, the authors describe an analysis of the statistics problem in quantum field theory in three-dimensional space-time, and show that there is more to the problem of statistics of local quantum fields than Bose- or Fermi statistics.
Journal ArticleDOI
Charged sectors and scattering states in quantum electrodynamics
TL;DR: In this article, the charge operator and charged sectors in four-dimensional QED were investigated, both within a local, covarian (indefinite metric) and within a positive metric formulation of QED.
References
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Book
PCT, spin and statistics, and all that
R. F. Streater,A. S. Wightman +1 more
TL;DR: In this article, Streater and Wightman present results that can be rigorously proved, and these are presented in an elegant style that makes them available to a broad range of physics and theoretical mathematics.
Journal ArticleDOI
Quantum sine-Gordon equation as the massive Thirring model
TL;DR: The sine-Gordon soliton was identified with the fundamental fermion of the Thirring model in this paper, where it was shown that the energy density of the theory is unbounded below.
Book
The P(φ)[2] Euclidean (quantum) field theory
TL;DR: Drawn primarily from the author's lectures at the Eidenossiehe Technische Hochschule, Zurich, in 1973, the volume will appeal to physicists and mathematicians alike; it is especially suitable for those with limited familiarity with the literature of this very active field.
Journal ArticleDOI
Analytical Descriptions of Ultrashort Optical Pulse Propagation in a Resonant Medium
Journal ArticleDOI
On the duality condition for a Hermitian scalar field
TL;DR: In this paper, a general Hermitian scalar field, assumed to be an operator−valued tempered distribution, is considered and a theorem which relates certain complex Lorentz transformations to the TCP transformation is stated and proved.