Eigenvalue-cluster Algorithm for Matrix Monte Carlo
高能物理 - 格点
2026-05-29 v1
摘要
Various physical models can be expressed in terms of matrices. A valuable tool for analysing matrix models is numerical simulations, often the Metropolis algorithm with various improvements. The downside of this approach is that the simulation may become stuck in a vacuous state, and probing the relevant parts of the configuration space might be difficult. Here, we propose an algorithm that moves around a cluster of eigenvalues and show that it converges to the true vacuum state.
引用
@article{arxiv.2605.29077,
title = {Eigenvalue-cluster Algorithm for Matrix Monte Carlo},
author = {Samuel Kováčik and Matej Hrmo},
journal= {arXiv preprint arXiv:2605.29077},
year = {2026}
}