TWO-POINT FUNCTION AND GENERALIZED FREE FIELDS

Abstract

Several theorems are proven which relate to the possibility of constructing a noninteracting field with an arbitrary two-point Wightman function. They are: (a) if phi (x) is a complete local field, and phi (x), phi (y) = D(x-y), where D is an arbitrary operator depending on x and y only through their difference, then D is a c-number function; () such fields are generalized free fields, as defined by Greenberg; (c) any generalized free field is unitarily equivalent toA SUPERPOSITION OF Klein Gordon fields, and moreover the asymptotic condition and unitarity restrict this to a superposition of ordinary free fields with different discrete asses. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 08, 1961
Accession Number
AD0259316

Entities

People

  • A.l. Licht
  • J.s. Toll

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Free Field

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra
  • Plasma Physics / Magnetohydrodynamics