Real-Time Dynamics at Large $N$

TL;DR

This paper discusses algorithms for efficient lattice simulations of large-N symmetric field theories, enabling the study of real-time dynamics and quenches despite sign problems.

Contribution

It introduces a family of algorithms that leverage the large-N limit for efficient real-time lattice simulations with sign problems.

Findings

Algorithms enable real-time simulations at large N

Effective handling of sign problems in fermionic theories

Facilitates study of quenches and dynamic observables

Abstract

The large-$N$ limit of $O(N)$-symmetric bosonic field theories, or $U(N)$-symmetric fermionic field theories, is amenable to a saddle point approximation. As a result, there is a family of closely related algorithms for efficient lattice simulations in this limit, even in the presence of fermionic or real-time sign problems. These can be used to study quenches, or other observables for which