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Main Authors: Kováčik, Samuel, Hrmo, Matej
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.29077
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author Kováčik, Samuel
Hrmo, Matej
author_facet Kováčik, Samuel
Hrmo, Matej
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_29077
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Eigenvalue-cluster Algorithm for Matrix Monte Carlo
Kováčik, Samuel
Hrmo, Matej
High Energy Physics - Lattice
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.
title Eigenvalue-cluster Algorithm for Matrix Monte Carlo
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2605.29077