Fast Scramblers and Non-Commutative Gauge Theories

TL;DR

This paper investigates how non-locality in non-commutative gauge theories accelerates thermalization, providing evidence that non-local interactions are key to the rapid thermalization characteristic of fast scramblers.

Contribution

It demonstrates that non-locality in non-commutative gauge theories enhances the rate of dissipation, supporting the idea that non-local interactions are crucial for fast scrambling behavior.

Findings

Non-locality accelerates thermalization in non-commutative gauge theories.

Non-commutative gauge theories exhibit faster dissipation compared to local theories.

Non-local interactions are essential for the rapid thermalization of quantum systems.

Abstract

Fast scramblers are quantum systems which thermalize in a time scale logarithmic in the number of degrees of freedom of the system. Non-locality has been argued to be an essential feature of fast scramblers. We provide evidence in support of the crucial role of non-locality in such systems by considering the approach to thermalization in a (strongly-coupled) high temperature non-commutative gauge theory. We show that non-locality inherent to non-commutative gauge theories does indeed accelerate the rate of dissipation in the heat bath in stark contrast to the slow random walk diffusive behavior prevalent in local field theories.