TL;DR
This paper introduces a non-local Monte Carlo algorithm for SU(3) lattice systems by embedding Z(3) degrees of freedom, utilizing a cluster algorithm for Z(3) systems with random interactions.
Contribution
It presents a practical implementation of a cluster algorithm for Z(3) systems, enabling improved Monte Carlo simulations of SU(3) lattice models.
Findings
Effective embedding of Z(3) in SU(3) enhances simulation efficiency
Cluster algorithm successfully applied to Z(3) systems with random interactions
Potential for improved studies of SU(3) lattice gauge theories
Abstract
We consider the design of a non-local MonteCarlo algorithm for lattice systems according to the idea of {\em embedding} the degrees of freedom corresponding to the center of the group . As a crucial ingredient to reach this goal, we present a practical implementation of a cluster algorithm for systems with general random pair interaction.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Algebra and Geometry