Stochastic Diagrams and Feynman Diagrams

Feb, 1985
24 pages
Published in:
  • Nucl.Phys.B 260 (1985) 545
  • Published: 1985
Report number:
  • CERN-TH-4120/85

Citations per year

198519952005201520230246810
Abstract: (Elsevier)
We study the relationship between ordinary perturbation theory and perturbation theory obtained from stochastic quantization. We give a simple proof that, except in gauge theories, the several stochastic diagrams of a given topology are together equivalent to the corresponding Feynman diagram. Our analysis is presented in Minkowski space, but most of it may readily be adapted to euclidean space. The field propagator may be a non-diagonal matrix, such as is the case in real-time thermal field theory.
  • PERTURBATION THEORY
  • QUANTIZATION: STOCHASTIC
  • FEYNMAN GRAPH
  • LANGEVIN EQUATION
  • GAUGE FIELD THEORY: AXIAL GAUGE
  • GAUGE FIELD THEORY: GHOST