Pseudodynamical evolution and path integral in quantum field theory

TL;DR

This paper introduces a new approach to quantum field theory evolution using distribution theory on infinite-dimensional spaces, inspired by path integral heuristics.

Contribution

It defines a pseudodynamical evolution framework in quantum field theory based on distributional methods, advancing the mathematical foundation of path integral formulations.

Findings

New definition of quantum field evolution via distributions

Bridging heuristic path integrals with rigorous mathematical structures

Potential applications in understanding quantum dynamics

Abstract

Using the notion of distribution on an infinite dimensional space defined in our previous paper, we give definition of a version of dynamical evolution in quantum field theory, motivated by heuristic formulas involving path integrals.