Improved lattice method for determining entanglement measures in SU(N) gauge theories
High Energy Physics - Lattice
2022-11-02 v1
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 "R\'enyi 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 R\'enyi 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.
Keywords
Cite
@article{arxiv.2211.00425,
title = {Improved lattice method for determining entanglement measures in SU(N) gauge theories},
author = {Tobias Rindlisbacher and Niko Jokela and Arttu Pönni and Kari Rummukainen and Ahmed Salami},
journal= {arXiv preprint arXiv:2211.00425},
year = {2022}
}
Comments
9 pages, 5 figures, contribution to the proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August, 2022, Bonn, Germany