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We propose a modification of the Hybrid-Monte-Carlo algorithm that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is the splitting of the pseudo-fermion action into two parts. We test…

高能物理 - 格点 · 物理学 2015-06-25 M. Hasenbusch , K. Jansen

We discuss the impact of various improvements on simulations of dynamical overlap fermions using the Hybrid Monte Carlo algorithm. We focus on the usage of fat links and multiple pseudo-fermion fields.

高能物理 - 格点 · 物理学 2011-07-18 Thomas DeGrand , Stefan Schaefer

We present an exact local bosonic algorithm for the simulation of dynamical fermions in lattice QCD. We show that this algorithm is a viable alternative to the Hybrid Monte Carlo algorithm.

高能物理 - 格点 · 物理学 2009-10-28 Andrea Galli , Philippe de Forcrand

We propose a new method for Hybrid Monte Carlo (HMC) simulations with odd numbers of dynamical fermions on the lattice. It employs a different approach from polynomial or rational HMC. In this method, gamma-five hermiticity of the lattice…

高能物理 - 格点 · 物理学 2015-05-27 Kenji Ogawa

In this paper, we develop the self-learning Monte-Carlo (SLMC) algorithm for non-abelian gauge theory with dynamical fermions in four dimensions to resolve the autocorrelation problem in lattice QCD. We perform simulations with the…

高能物理 - 格点 · 物理学 2020-10-26 Yuki Nagai , Akinori Tanaka , Akio Tomiya

We propose a modification of the Hybrid Monte-Carlo method to sample equilibrium distributions of continuous field models. The method allows an efficient implementation of Fourier acceleration and is shown to reduce completely critical…

高能物理 - 格点 · 物理学 2007-05-23 Raul Toral , A. L. Ferreira

Hybrid Monte Carlo simulations that implement the fermion action using multiple terms are commonly used. By the nature of their formulation they involve multiple integration time scales in the evolution of the system through simulation…

高能物理 - 格点 · 物理学 2015-05-20 Waseem Kamleh

Motivated by the similarity to QCD, specifically the property of asymptotic freedom, we simulate the dynamics of the SU(2) $\times$ SU(2) model in two dimensions using the Hybrid Monte Carlo algorithm. By introducing Fourier Acceleration,…

高能物理 - 格点 · 物理学 2024-01-04 Roger Horsley , Brian Pendleton , Julian Wack

We develop a GPU-accelerated hybrid quantum Monte Carlo (QMC) algorithm to solve the fundamental yet difficult problem of $U(1)$ gauge field coupled to fermions, which gives rise to a $U(1)$ Dirac spin liquid state under the description of…

强关联电子 · 物理学 2026-02-27 Kexin Feng , Chuang Chen , Zi Yang Meng

Two cluster algorithms, based on constructing and flipping loops, are presented for worldline quantum Monte Carlo simulations of fermions and are tested on the one-dimensional repulsive Hubbard model. We call these algorithms the loop-flip…

凝聚态物理 · 物理学 2007-05-23 N. Kawashima , J. E. Gubernatis , H. G. Evertz

An exact, nonlocal, finite step-size algorithm for Monte Carlo simulation of theories with dynamical fermions is proposed. The algorithm is based on obtaining the new configuration U' from the old one U by solving the equation $ M(U') \eta…

高能物理 - 格点 · 物理学 2009-11-07 T. Bakeyev

Close to the chiral limit, many calculations in numerical lattice QCD can potentially be accelerated using low-mode deflation techniques. In this paper it is shown that the recently introduced domain-decomposed deflation subspaces can be…

高能物理 - 格点 · 物理学 2008-11-26 Martin Lüscher

Monte Carlo (MC) simulations are essential computational approaches with widespread use throughout all areas of science. We present a method for accelerating lattice MC simulations using fully connected and convolutional artificial neural…

强关联电子 · 物理学 2019-07-31 Shaozhi Li , Philip M. Dee , Ehsan Khatami , Steven Johnston

As a prerequisite to dynamical fermion simulations a detailed study of optimal parameters and scaling behavior is conducted for the quenched Schr\"odinger functional at fixed renormalized coupling. We compare standard hybrid overrelaxation…

高能物理 - 格点 · 物理学 2015-06-25 Bernd Gehrmann , Ulli Wolff

The hybrid Monte Carlo (HMC) algorithm is arguably the most efficient sampling method for general probability distributions of continuous variables. Together with exact Fourier acceleration (EFA) the HMC becomes equivalent to direct…

高能物理 - 格点 · 物理学 2025-07-23 Johann Ostmeyer

On the base of a Feynman-Kac--type formula involving Poisson stochastic processes, recently a Monte Carlo algorithm has been introduced, which describes exactly the real- or imaginary-time evolution of many-body lattice quantum systems. We…

其他凝聚态物理 · 物理学 2011-07-19 Massimo Ostilli , Carlo Presilla

We apply the Hybrid Monte Carlo method to the simulation of overlap fermions. We give the fermionic force for the molecular dynamics update. We present early results on a small dynamical chiral ensemble.

高能物理 - 格点 · 物理学 2009-11-10 N. Cundy , S. Krieg , A. Frommer , Th. Lippert , K. Schilling

We consider recent progress in algorithms for generating gauge field configurations that include the dynamical effects of light fermions. We survey what has been achieved in recent state-of-the-art computations, and examine the trade-offs…

高能物理 - 格点 · 物理学 2009-11-10 A. D. Kennedy

We present an exact local bosonic algorithm for the simulation of dynamical fermions in lattice QCD. It is based on a non-hermitian polynomial approximation of the inverse of the quark matrix and a global Metropolis accept/reject correction…

高能物理 - 格点 · 物理学 2007-05-23 Ph. de Forcrand , A. Galli

We introduce a new algorithm which we call the {Rational Hybrid Monte Carlo} Algorithm (RHMC). This method uses a rational approximation to the fermionic kernel together with a noisy Kennedy-Kuti acceptance step to give an efficient…

高能物理 - 格点 · 物理学 2009-10-31 Ivan Horvath , A. D. Kennedy , Stefan Sint