Improved lattice method for determining entanglement measures in SU(N) gauge theories

Abstract

The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called "replica trick", a family of entanglement measures, known as "Rényi entropies", can be determined with lattice Monte Carlo. Unfortunately, the standard implementation of the replica method for SU(N) lattice gauge theories suffers from a severe signal-to-noise ratio problem, rendering high-precision studies of Rényi entropies prohibitively expensive. In this work, we propose a method to overcome the signal-to-noise ratio problem and show some first results for SU(N) in 4 dimensions.

Comments: 9 pages, 5 figures, contribution to the proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August, 2022, Bonn, Germany