Flux tube in turbulent flow and quantum chromodynamics

TL;DR

This paper explores a theoretical analogy between turbulent flow and quantum chromodynamics by deriving flux tube solutions in both contexts, suggesting a conceptual link between fluid turbulence and particle physics.

Contribution

It introduces a novel analogy between turbulence flux tubes and QCD flux tubes using similar assumptions, bridging fluid dynamics and quantum field theory.

Findings

Derived a cylindrically symmetric flux tube solution in turbulence.

Proposed a similar flux tube solution in quantum chromodynamics.

Discussed the conceptual connection between turbulence and QCD flux tubes.

Abstract

Using some assumptions about the correlation function of velocity in a turbulent flow, a cylindrically symmetric tube-like solution is obtained. It is proposed that this turbulent flow is similar to a flux tube in quantum chromodynamics. Using similar assumptions for quantum chromodynamics, a flux tube filled with a color electric field is obtained. The connection between turbulence theory and quantum chromodynamics is discussed.