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We discuss two new DoS approaches for finite density lattice QCD. The paper extends a recent presentation of the new techniques based on Wilson fermions, while here we now discuss and test the case of finite density QCD with staggered…

高能物理 - 格点 · 物理学 2019-12-12 Christof Gattringer , Michael Mandl , Pascal Törek

This paper presents a hybrid classical-quantum program for density estimation and supervised classification. The program is implemented as a quantum circuit in a high-dimensional quantum computer simulator. We show that the proposed quantum…

We introduce a factorization of the fermion determinant in lattice QCD with Wilson-type fermions that leads to a bosonic action which is local in the block fields. The interaction among gauge fields on distant blocks is mediated by…

高能物理 - 格点 · 物理学 2017-03-01 Marco Cè , Leonardo Giusti , Stefan Schaefer

We propose a strategy for conducting lattice QCD simulations at fixed volume but variable quark mass so as to investigate the physical effects of dynamical fermions. We present details of techniques which enable this to be carried out…

The complex Langevin method is extended to full QCD at non-zero chemical potential. The use of gauge cooling stabilizes the simulations at small enough lattice spacings. At large fermion mass the results are compared to the HQCD approach,…

高能物理 - 格点 · 物理学 2014-03-19 Denes Sexty

It has been suggested that the density of states approach to performing lattice simulations in QCD with nonzero chemical potential can be modified to improve the signal to noise ratio by performing a cumulant expansion of the complex phase…

高能物理 - 格点 · 物理学 2013-11-20 Jeff Greensite , Joyce C. Myers , K. Splittorff

An efficient Quantum Monte Carlo algorithm for the simulation of bosonic systems on a lattice in a grand canonical ensemble is proposed. It is based on the mapping of bosonic models to the spin models in the limit of the infinite total spin…

统计力学 · 物理学 2007-05-23 Jurij Smakov , Kenji Harada , Naoki Kawashima

We investigate instability and reversibility within Hybrid Monte Carlo simulations using a non-perturbatively improved Wilson action. We demonstrate the onset of instability as tolerance parameters and molecular dynamics step sizes are…

This is a pedagogical review of the lattice study of finite density QCD, which is intended to provide the minimum necessary contents, so that the paper may be used as the first reading for a newcomer to the field and also for those working…

高能物理 - 格点 · 物理学 2009-11-10 Shin Muroya , Atsushi Nakamura , Chiho Nonaka , Tetsuya Takaishi

As computing resources are limited, choosing the parameters for a full Lattice QCD simulation always amounts to a compromise between the competing objectives of a lattice spacing as small, quarks as light, and a volume as large as possible.…

高能物理 - 格点 · 物理学 2009-11-11 B. Orth , Th. Lippert , K. Schilling

Monte Carlo (MC) simulations of lattice models are a widely used way to compute thermodynamic properties of substitutional alloys. A limitation to their more widespread use is the difficulty of driving a MC simulation in order to obtain the…

统计力学 · 物理学 2009-11-07 A. van de Walle , M. Asta

The calculation of physical quantities by lattice QCD simulations requires in some important cases the determination of the inverse of a very large matrix. In this article we describe how stochastic estimator methods can be applied to this…

高能物理 - 格点 · 物理学 2007-05-23 S. Güsken

Self-learning Monte Carlo method [arXiv:1610.03137, 1611.09364] is a powerful general-purpose numerical method recently introduced to simulate many-body systems. In this work, we implement this method in the framework of determinantal…

强关联电子 · 物理学 2018-07-12 Xiao Yan Xu , Yang Qi , Junwei Liu , Liang Fu , Zi Yang Meng

Lattice gauge theories coupled to fermionic matter account for many interesting phenomena in both high energy physics and condensed matter physics. Certain regimes, e.g. at finite fermion density, are difficult to simulate with traditional…

高能物理 - 格点 · 物理学 2023-11-16 Julian Bender , Patrick Emonts , J. Ignacio Cirac

We study aspects concerning numerical simulations of Lattice QCD with two flavors of dynamical Ginsparg-Wilson quarks with degenerate masses. A Hybrid Monte Carlo algorithm is described and the formula for the fermionic force is derived for…

高能物理 - 格点 · 物理学 2009-10-31 Chuan Liu

We introduce the Pad\'e--Z$_2$ (PZ) stochastic estimator for calculating determinants and determinant ratios. The estimator is applied to the calculation of fermion determinants from the two ends of the Hybrid Monte Carlo trajectories with…

高能物理 - 格点 · 物理学 2016-08-25 C. Thron , S. J. Dong , K. F. Liu , H. P. Ying

We investigate L\"uscher's method of including dynamical Wilson fermions in a lattice simulation of QCD with two quark flavours. We measure the accuracy of the approximation by comparing it with Hybrid Monte Carlo results for gauge…

高能物理 - 格点 · 物理学 2009-10-28 C. Alexandrou , A. Borrelli , Ph. de Forcrand , A. Galli , F. Jegerlehner

If the fermion mass is large enough, the phase of the fermion determinant of QCD at finite density is strongly correlated with the imaginary part of the Polyakov loop. This fact can be exploited to reduce the fluctuations of the phase…

高能物理 - 格点 · 物理学 2015-06-25 Philippe de Forcrand , Victor Laliena

We present an update of BQCD, our Hybrid Monte Carlo program for simulating lattice QCD. BQCD is one of the main production codes of the QCDSF collaboration and is used by CSSM and in some Japanese finite temperature and finite density…

高能物理 - 格点 · 物理学 2018-04-18 Taylor Ryan Haar , Yoshifumi Nakamura , Hinnerk Stüben

In the last few years it has been proposed a one-dimensional factorization of the fermion determinant in lattice QCD with Wilson-type fermions that leads to a block-local action of the auxiliary bosonic fields. Here we propose a…

高能物理 - 格点 · 物理学 2022-04-20 Leonardo Giusti , Matteo Saccardi