PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Algorithms
Improved lattice method for determining entanglement measures in SU(N) gauge theories
T. Rindlisbacher*, N. Jokela, A. Pönni, K. Rummukainen and A. Salami
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Pre-published on: November 07, 2022
Published on: April 06, 2023
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.
DOI: https://doi.org/10.22323/1.430.0031
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