Eigenvalue-flipping algorithm for matrix Monte Carlo

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Eigenvalue-flipping algorithm for matrix Monte Carlo

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Eigenvalue-flipping algorithm for matrix Monte Carlo

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

—

Svazek periodika

2022

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

1-11

Kód UT WoS článku

000788323700008

EID výsledku v databázi Scopus

2-s2.0-85128945161