Some Insight into Many Constituent Dynamics

TL;DR

This paper introduces a field-theoretic approach to analyze many-particle systems with uncertain initial states, deriving correlation function equations and discussing solution conditions, symmetries, and multi-scale aspects.

Contribution

It presents a novel field language framework for describing many constituent systems, including equations for correlation functions and conditions for their solutions.

Findings

Derived equations for correlation functions in free Fock space

Discussed solution conditions for various interaction types

Explored symmetry and multi-scale features in the systems

Abstract

A description of many constituent (particle) systems with fuzzy initial conditions is proposed with the help of the field language. In this language correlation functions are defined and equations for them are derived in the free Fock space. Additional conditions for their solutions are postulated. The closure problem for polynomial, rational, local and nonlocal interactions is considered with exploitation of left or right invertibility of used operators. Some general remarks concerning symmetry and multi-scale descriptions are given.