Exploring the HMC trajectory-length dependence of autocorrelation times in lattice QCD
نویسندگان
چکیده
We study autocorrelation times of physical observables in lattice QCD as a function of the molecular dynamics trajectory length in the hybrid Monte-Carlo algorithm. In an interval of trajectory lengths where energy and reversibility violations can be kept under control, we find a variation of the integrated autocorrelation times by a factor of about two in the quantities of interest. Trajectories longer than conventionally used are found to be superior both in the Nf = 0 and Nf = 2 examples considered here. We also provide evidence that they lead to faster thermalization of systems with light quarks.
منابع مشابه
Exploring the HMC trajectory - length dependence of autocorrelation times in lattice
We study autocorrelation times of physical observables in lattice QCD as a function of the molecular dynamics trajectory length in the hybrid Monte-Carlo algorithm. In an interval of trajectory lengths where energy and reversibility violations can be kept under control, we find a variation of the integrated autocorrelation times by a factor of about two in the quantities of interest. Trajectori...
متن کاملMeasure of Autocorrelation Times of Local Hybrid Monte Carlo Algorithm for Lattice QCD
We report on a study of the autocorrelation times of the local version of the Hybrid Monte Carlo (LHMC) algorithm for pure gauge SU(3). We compare LHMC to standard multi-hit Metropolis and to the global version of the same HMC. For every algorithm we measure the autocorrelation time (τ) for a variety of observables and the string tension (σ) as a function of β. The measurements performed on 8 a...
متن کاملar X iv : h ep - l at / 0 60 90 21 v 1 1 3 Se p 20 06 Trajectory Length and Autocorrelation Times – N f = 2 simulations in the Schrödinger functional
A status report is presented on the large-volume simulations in the Schrödinger functional with two flavours of O(a) improved Wilson quarks performed by the ALPHA collaboration. The physics goal is to set the scale for the computation of the fundamental parameters of QCD. In this talk the emphasis is on aspects of the Hybrid Monte-Carlo algorithm, which we use with (symmetric) even-odd and Hase...
متن کاملCost of Generalised HMC Algorithms for Free Field Theory
We study analytically the computational cost of the Generalised Hybrid Monte Carlo (GHMC) algorithm for free field theory. We calculate the autocorrelation functions of operators quadratic in the fields, and optimise the GHMC momentum mixing angle, the trajectory length, and the integration stepsize. We show that long trajectories are optimal for GHMC, and that standard HMC is much more efficie...
متن کاملSpeeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
In large scale simulations of lattice QCD with two flavours of mass-degenerate Wilson fermions, the mass of the fermions is still too large compared with the up and the down quark masses. Therefore a delicate extrapolation of the data is needed. Unfortunately, the numerical effort required for the Hybrid-Monte-Carlo (HMC) [1] algorithm increases as the quark mass decreases for, at least, three ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computer Physics Communications
دوره 176 شماره
صفحات -
تاریخ انتشار 2007