AN ANALYTIC REPRESENTATION OF THE INVARIANT DISTRIBUTIONS OF QUANTUM FIELD THEORY,

Abstract

It is generally recognized that the invariant functions of quantum field theory are not functions in the strict sense, but rather distributions. One may interpret such distributions in either of two mathematically equivalent but conceptually different ways. They may be considered as generalized limits of sequences of functions, usually called generalized functions. Or they may be considered as continuous linear functionals on suitably chosen space of test functions. There are treatments of the distributions that arise as commutators and propagators in quantum field theory and the term invariant distribution is used in the sense of both the above interpretations of them. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 26, 1963
Accession Number
AD0420463

Entities

People

  • Frank B. Thiess

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Commutators
  • Field Theory (Physics)
  • Physical Theories
  • Physics
  • Quantum Field Theory
  • Sequences

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Quantum Computing
  • Space