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The use of mass preconditioning or Hasenbusch filtering in modern Hybrid Monte Carlo simulations is common. At light quark masses, multiple filters (three or more) are typically used to reduce the cost of generating dynamical gauge fields;…

高能物理 - 格点 · 物理学 2017-04-07 Taylor Haar , Waseem Kamleh , James Zanotti , Yoshifumi Nakamura

We compare the performance of an UV-filtered Multiboson algorithm, including a global quasi-heatbath update, to the standard Hybrid Monte Carlo algorithm in full QCD with two flavours of Wilson fermions.

高能物理 - 格点 · 物理学 2015-06-25 C. Alexandrou , Ph. de Forcrand , M. D'Elia , H. Panagopoulos

The predominant method for generating Lattice QCD configurations is Hybrid Monte Carlo (HMC). In order to speed up this generation, a wide range of preconditioning techniques that modify the lattice action have been devised. This work…

高能物理 - 格点 · 物理学 2017-02-02 Taylor Haar , Waseem Kamleh , James Zanotti , Yoshfumi Nakamura

The pseudofermion action of the Hybrid Monte Carlo (HMC) algorithm for dynamical fermions is modified to directly incorporate Incomplete LU (ILU) factorisation. This reduces the stochastic noise and allows a larger molecular dynamics…

高能物理 - 格点 · 物理学 2007-05-23 Mike Peardon

We study the efficiency of an improved Multiboson algorithm with two flavours of Wilson fermions in a realistic physical situation ($\beta = 5.60$, $\kappa = 0.156$ on a $16^3 \times 24$ lattice). The performance of this exact algorithm is…

高能物理 - 格点 · 物理学 2009-10-31 C. Alexandrou , Ph. de Forcrand , M. D'Elia , H. Panagopoulos

We give some new performance results for the Hybrid Monte Carlo (HMC) simulation of dynamical clover-improved Wilson fermions using an improved pseudo-fermion action. The generalisation of even-odd preconditioning for the standard Wilson…

高能物理 - 格点 · 物理学 2009-04-25 Martin Hasenbusch

Within the HMC algorithm, we discuss how, by using the shadow Hamiltonian and the Poisson brackets, one can achieve a simple factorization in the dependence of the Hamiltonian violations upon either the algorithmic parameters or the…

高能物理 - 格点 · 物理学 2018-11-14 Andrea Bussone , Michele Della Morte , Vincent Drach , Claudio Pica

We present a polynomial Hybrid Monte Carlo (PHMC) algorithm as an exact simulation algorithm with dynamical Kogut-Susskind fermions. The algorithm uses a Hermitian polynomial approximation for the fractional power of the KS fermion matrix.…

We give a detailed description of the so-called Polynomial Hybrid Monte Carlo (PHMC) algorithm. The effects of the correction factor, which is introduced to render the algorithm exact, are discussed, stressing their relevance for the…

高能物理 - 格点 · 物理学 2009-10-31 R. Frezzotti , K. Jansen

The short-range modes of the fermionic determinant can be absorbed in the gauge action using the loop expansion. The coefficients of this expansion and the zeroes of the polynomial approximating the remainder can be optimized by a simple,…

高能物理 - 格点 · 物理学 2009-10-31 Ph. de Forcrand

Polynomial approximations to the inverse of the fermion matrix are used to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration scheme allows the filtered pseudofermions to be…

高能物理 - 格点 · 物理学 2015-05-28 Waseem Kamleh , Mike Peardon

We show how to improve the molecular dynamics step of Hybrid Monte Carlo, both by tuning the integrator using Poisson brackets measurements and by the use of force gradient integrators. We present results for moderate lattice sizes.

高能物理 - 格点 · 物理学 2011-03-31 M. A. Clark , Balint Joo , A. D. Kennedy , P. J. Silva

We present a polynomial hybrid Monte Carlo (PHMC) algorithm for lattice QCD with odd numbers of flavors of O(a)-improved Wilson quark action. The algorithm makes use of the non-Hermitian Chebyshev polynomial to approximate the inverse…

Preconditioning is at the core of modern many-fermion Monte Carlo algorithms, such as Hybrid Monte Carlo, where the repeated solution of a linear problem involving an ill-conditioned matrix is needed. We report on a performance comparison…

高能物理 - 格点 · 物理学 2010-08-24 Timour Ten , Joaquín E. Drut , Timo A. Lähde

UKQCD's dynamical fermion project uses the Generalised Hybrid Monte-Carlo (GHMC) algorithm to generate QCD gauge configurations for a non-perturbatively O(a) improved Wilson action with two degenerate sea-quark flavours. We describe our…

高能物理 - 格点 · 物理学 2009-10-30 Z. Sroczynski , S. M. Pickles , S. P. Booth

We present a simulation algorithm for dynamical fermions that combines the multiboson technique with the Hybrid Monte Carlo algorithm. We find that the algorithm gives a substantial gain over the standard methods in practical simulations.…

高能物理 - 格点 · 物理学 2009-10-30 Roberto Frezzotti , Karl Jansen

The standard hybrid Monte Carlo algorithm uses the second order integrator at the molecular dynamics step. This choice of the integrator is not always the best. Using the Wilson fermion action, we study the performance of the hybrid Monte…

高能物理 - 格点 · 物理学 2009-11-07 Tetsuya Takaishi

We discuss a simulation algorithm for dynamical fermions, which combines the multiboson technique with the Hybrid Monte Carlo algorithm. The algorithm turns out to give a substantial gain over standard methods in practical simulations and…

高能物理 - 格点 · 物理学 2009-10-30 Roberto Frezzotti , Karl Jansen

An algorithm for separating the high- and low-frequency molecular dynamics modes in Hybrid Monte Carlo simulations of gauge theories with dynamical fermions is presented. The separation is based on splitting the pseudo-fermion action into…

高能物理 - 格点 · 物理学 2008-11-26 A. Ali Khan , T. Bakeyev , M. Göckeler , R. Horsley , D. Pleiter , P. Rakow , A. Schäfer , G. Schierholz , H. Stüben

We show how the integrators used for the molecular dynamics step of the Hybrid Monte Carlo algorithm can be further improved. These integrators not only approximately conserve some Hamiltonian $H$ but conserve exactly a nearby shadow…

高能物理 - 格点 · 物理学 2015-05-30 M. A. Clark , Bálint Joó , A. D. Kennedy , P. J. Silva
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