On spin-statistics theorem in path integral formulation

Abstract

In path integral formalism the local path integral measure and Lorentz invariant local Lagrangian, when combined with Green``s functions defined in terms of time ordered products, ensure the causality regardless of statistics. And the positive energy condition is ensured by the Feynman``s m - if prescription regardless of statistics. Thus the positive norm condition plays the crucial role to exclude the abnormal connection between spin and statistics.