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@article{1855528,
author = {Kováčik, Samuel and Tekel, Juraj},
article_location = {New York},
article_number = {4},
doi = {http://dx.doi.org/10.1007/JHEP04(2022)149},
keywords = {Algorithms and Theoretical Developments; Matrix Models; Non-Commutative Geometry; Lattice Quantum Field Theory},
language = {eng},
issn = {1029-8479},
journal = {Journal of High Energy Physics},
title = {Eigenvalue-flipping algorithm for matrix Monte Carlo},
url = {https://link.springer.com/article/10.1007/JHEP04(2022)149},
volume = {2022},
year = {2022}
}
TY - JOUR
ID - 1855528
AU - Kováčik, Samuel - Tekel, Juraj
PY - 2022
TI - Eigenvalue-flipping algorithm for matrix Monte Carlo
JF - Journal of High Energy Physics
VL - 2022
IS - 4
SP - 1-11
EP - 1-11
PB - Springer
SN - 10298479
KW - Algorithms and Theoretical Developments
KW - Matrix Models
KW - Non-Commutative Geometry
KW - Lattice Quantum Field Theory
UR - https://link.springer.com/article/10.1007/JHEP04(2022)149
N2 - Many physical systems can be described in terms of matrix models that we often cannot solve analytically. Fortunately, they can be studied numerically in a straightforward way. Many commonly used algorithms follow the Monte Carlo method, which is efficient for small matrix sizes but cannot guarantee ergodicity when working with large ones. In this paper, we propose an improvement of the algorithm that, for a large class of matrix models, allows to tunnel between various vacua in a proficient way, where sign change of eigenvalues is proposed externally. We test the method on two models: the pure potential matrix model and the scalar field theory on the fuzzy sphere.
ER -
KOVÁČIK, Samuel a Juraj TEKEL. Eigenvalue-flipping algorithm for matrix Monte Carlo. \textit{Journal of High Energy Physics}. New York: Springer, 2022, roč.~2022, č.~4, s.~1-11. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP04(2022)149.
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