No well-defined probability measure exists for the classical Kolmogorov path integral representation of the Dirac equation in Minkowski space, as the propagator's distributional character and the metric's indefinite signature are two sides of one measure-theoretic obstruction.
Computing quantum correlation functions by import ance sampling method based on path integrals,
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Quantum Simulation of Hyperbolic Equations and the Nonexistence of a Dirac Path Measure
No well-defined probability measure exists for the classical Kolmogorov path integral representation of the Dirac equation in Minkowski space, as the propagator's distributional character and the metric's indefinite signature are two sides of one measure-theoretic obstruction.