Year: 2025
Type: conference-paper
Abstract: The Worldvolume Hybrid Monte Carlo (WV-HMC) method~[arXiv:2012.08468] is a low-cost algorithm that solves the sign problem without introducing the ergodicity problem. We apply the method to the Hubbard model on a two-dimensional spatial lattice, which can also be regarded as a prototype of QCD at finite density. We first explain the basic algorithms to treat fermion determinants in the WV-HMC method, and then show the computational cost scaling that varies depending on the choice of solver. We also compare the obtained results of observables with those using two other major numerical methods: the ALF (Algorithms for Lattice Fermions) and the Tensor Renormalization Group.
DOI: 10.22323/1.466.0053
Authors: Yusuke Namekawa, Masafumi Fukuma
Institutions: Hiroshima University, Kyoto University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G1423962906, Development of the fundamental algorithms towards solving the sign problem and its application to various physical systems, G3003979748, 格子量子色力学による高密度領域の開拓, Nonperturbative exploration of lattice QCD at high density, G6403684326, 世界体積ハイブリッドモンテカルロ法によるQCDの相構造と実時間ダイナミクスの解明, G990824982
OpenAlex ID: W4407703276