Eigenvalue-flipping algorithm for matrix Monte Carlo
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00125871" target="_blank" >RIV/00216224:14310/22:00125871 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/JHEP04(2022)149" target="_blank" >https://link.springer.com/article/10.1007/JHEP04(2022)149</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP04(2022)149" target="_blank" >10.1007/JHEP04(2022)149</a>
Alternative languages
Result language
angličtina
Original language name
Eigenvalue-flipping algorithm for matrix Monte Carlo
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of High Energy Physics
ISSN
1029-8479
e-ISSN
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Volume of the periodical
2022
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
1-11
UT code for WoS article
000788323700008
EID of the result in the Scopus database
2-s2.0-85128945161