GENERAL QUANTUM FIELD THEORIES AND STRICT LOCALITY

Abstract

A class of general quantum field theories without explicit use of fields A(x) is defined by a set of postulates for the von Neumann algebras R of local observables. The vacuum state is cyclic with respect to any R, and the Borchers tube theorem is shown to hold. Some R are factors and not of finite type. A property of local observables called strict locality is formulated and expressed by means of a necessary and sufficient condition for the algebras R. It is proved for finite regions.

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Document Details

Document Type
Technical Report
Publication Date
Jun 04, 1964
Accession Number
AD0615691

Entities

People

  • Karl Kraus

Organizations

  • University of Marburg

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Continuity
  • Eigenvalues
  • Equations
  • Hard Copy
  • Invariance
  • Language
  • Measurement
  • Minkowski Space
  • Momentum
  • Quantum Field Theory
  • Sequences
  • Theorems
  • Translations
  • United States

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Quantum Computing