Transport theory yields renormalization group equations

TL;DR

This paper presents a unified theoretical framework combining dissipative transport and renormalization using the Nakajima-Zwanzig projection technique, applied to quantum gases to analyze interaction flow.

Contribution

It introduces a novel approach that unifies dissipative transport and renormalization within a single mathematical framework.

Findings

Derived RG flow equations for quantum gas interactions

Demonstrated the applicability of the Nakajima-Zwanzig approach

Provided insights into effective two-body interactions

Abstract

We show that dissipative transport and renormalization can be described in a single theoretical framework. The appropriate mathematical tool is the Nakajima-Zwanzig projection technique. We illustrate our result in the case of interacting quantum gases, where we use the Nakajima-Zwanzig approach to investigate the renormalization group flow of the effective two-body interaction.