A projector path integral for the Dirac equation and the spin derivation of space

Authors
Gaveau, B Schulman, LS
Citation
B. Gaveau et Ls. Schulman, A projector path integral for the Dirac equation and the spin derivation of space, ANN PHYSICS, 284(1), 2000, pp. 1-9
Citations number
11
Categorie Soggetti
Physics
Journal title
ANNALS OF PHYSICS
ISSN journal
00034916 → ACNP
Volume
284
Issue
1
Year of publication
2000
Pages
1 - 9
Database
ISI
SICI code
0003-4916(20000825)284:1<1:APPIFT>2.0.ZU;2-O
Abstract
We construct a new kind of path integral for the Dirac equation propagator, intended as an extension to 3 space dimensions of the Feynman "checkerboar d" propagator. One form of this path integral is a "projector path" summati on, out of which one can reconstruct standard 3D space and chirality. Other forms allow the particle velocity along the path to be adjusted. (C) 2000 Academic Press.