Published 1989 | Version v1
Report Metadata-only

Random fields as solutions of the inhomogeneous quaternionic Cauchy-Riemann equation. Pt. 1

Creators

  • 1. CERFIM, Locarno (Switzerland)
  • 2. Bielefeld Univ. (Germany, F.R.). Forschungszentrum Bielefeld-Bochum-Stochastik (BiBoS)
  • 3. Bochum Univ. (Germany, F.R.). Sonderforschungsbereich 237 - Unordnung und Grosse Fluktuationen
  • 4. Bochum Univ. (Germany, F.R.)
  • 5. Royal Inst. of Tech., Stockholm (Sweden)

Description

We consider random fields A satisfying the quaternionic Cauchy-Riemann equation δA=F, where F is white noise. Under appropriate conditions on F, A is invariant under the proper Euclidean group in four dimensions, but in general not under time reflection. The Schwinger functions can be analytically continued to Wightman functions satisfying the relativistic postulates on invariance, spectral property and locality. (orig.)

Availability note (English)

Available from Bielefeld Univ. (Germany, F.R.). Forschungszentrum Bielefeld-Bochum-Stochastik (BiBoS).

Additional details

Additional titles

Subtitle (English)
Invariance and analytic continuation

Publishing Information

Imprint Pagination
32 p.
Report number
BiBoS--377/89

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
21020905
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Non-conventional Literature
Descriptors DEI
ALGEBRAIC FIELD THEORY; ANALYTIC FUNCTIONS; ANALYTICAL SOLUTION; EUCLIDEAN SPACE; FIELD EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; LOCALITY; LORENTZ GROUPS; LORENTZ INVARIANCE; MINKOWSKI SPACE; NOISE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; RANDOMNESS; RELATIVISTIC RANGE; SO-4 GROUPS; SPACE-TIME; STOCHASTIC PROCESSES; T INVARIANCE; WIGHTMAN FIELD THEORY
Descriptors DEC
AXIOMATIC FIELD THEORY; DIFFERENTIAL EQUATIONS; ENERGY RANGE; EQUATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL SPACE; POINCARE GROUPS; RIEMANN SPACE; SO GROUPS; SPACE; SYMMETRY GROUPS