STOCHASTIC LORENTZ OBSERVERS AND THE DIVERGENCES IN QUANTUM FIELD THEORY

Journal Article · Sat Jun 16 04:00:00 EDT 1962 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

DOI:https://doi.org/10.1007/BF02754294· OSTI ID:4807720

Ingraham, R L

Sharp space-time coordinates x are replaced by sto chastic space-time coordinates X, with means x and dispersion measured by a universal length lambda , as the kinematical basis of Lorentz classical or quantum covariant field theories. It is found that 4-dimensional distributions are not possible, but 3- dimensional (unsharp rods, sharp clocks) and 1-dimensional (unsharp clocks, sharp rods) distributions are allowed. Lorentz invariance and the feature of nonzero dispersion together imply that a given physical field can be represented by an infinity of (in general, slightly different) tensor fields, one for each equivalent observer. Some consequences of this idea in quantum field theory are investigated. It results, generally speaking, in high momentum cut-offs in some expressions. For free fields the invariant functions tum out to be continuous and bounded; a skin effect'' violation of microcausality is present in the exterior of the light cone. For interacting fields the iteration solution S- matrix is unambiguous (no subtraction formalism) and has only finite matrix elements. The renormalization idea that self-energy parts, etc., can only renormalize bare-particle parameters must, strictly speaking, be given up. Corrections to point particle'' scattering arise in the form of form factor functions of momentum transfers q. These are not functions of q/sub 2/ only, as in some ad hoc theories. The standard deviation'' lambda is estimated to be a nucleon Compton wave length or smaller. (auth)

• Research Organization: New Mexico State Univ., University Park
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-026444
• OSTI ID: 4807720
• Journal Information: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: 24; ISSN NUCIA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DISTRIBUTION
FIELD THEORY
FORM FACTOR
INTERACTIONS
MATHEMATICS
MATRICES
MOMENTUM
PHYSICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
RELATIVITY THEORY
RENORMALIZATION
S-MATRIX
SCATTERING