Nonperturbative quantization and turbulence: the comparison

TL;DR

This paper compares nonperturbative quantum field theory and turbulence, highlighting their similar infinite equations sets and discussing methods to address the closure problem in both fields.

Contribution

It demonstrates the mathematical analogy between nonperturbative quantum fields and turbulence, enabling cross-application of solution techniques.

Findings

Both fields involve infinite equations sets for Green's functions and cumulants.

Similar mathematical methods can be applied to solve problems in both areas.

Discussion of the closure problem in truncating infinite equations.

Abstract

The comparison of calculations methods in nonperturbative quantum fields theory and turbulence theory is made. The main result is that in both cases there is an infinite equations set. In the first case it is the equations set for Green's functions and in the second case it is the equations set for cumulants. It allows us to use similar mathematical methods to solve problems in nonperturbative quantum field theory and turbulence modeling. A closure problem of truncation of the infinite equations set is discussed.