2015/11/29 by J. Wosiek, Jacek Wosiek, Wosiek, Jacek
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.1511.09083
References added
openalex publication_date 2015/11/29 · arxiv created 2015/12/19 · arxiv updated 2015/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By introducing a second complex variable, the integral relation between a complex density and the corresponding positive distribution is derived. Together with the positivity and normalizability conditions, this sum rule allows to construct explicitly equivalent pairs of distributions in simple cases discussed here. In particular the well known solution for a complex gaussian distribution is generalized to an arbitrary complex inverse dispersion parameter. This opens a possibility of positive representation of Feynman path integrals directly in the Minkowski time.