scholarly journals Instability in the molecular dynamics step of a hybrid Monte Carlo algorithm in dynamical fermion lattice QCD simulations

2000 ◽  
Vol 62 (11) ◽  
Author(s):  
Bálint Joó ◽  
Brian Pendleton ◽  
Anthony D. Kennedy ◽  
Alan C. Irving ◽  
James C. Sexton ◽  
...  
Keyword(s):  
Molecular Dynamics ◽  
Monte Carlo ◽  
Lattice Qcd ◽  
Monte Carlo Algorithm ◽  
Hybrid Monte Carlo

scholarly journals Measure of autocorrelation times of local hybrid Monte Carlo algorithm for lattice QCD

1993 ◽  
Vol 315 (1-2) ◽  
pp. 152-156 ◽  
Author(s):  
Paolo Marenzoni ◽  
Luigi Pugnetti ◽  
Pietro Rossi
Keyword(s):  
Monte Carlo ◽  
Lattice Qcd ◽  
Monte Carlo Algorithm ◽  
Hybrid Monte Carlo

scholarly journals Worldvolume approach to the tempered Lefschetz thimble method

2021 ◽  
Author(s):  
Masafumi Fukuma ◽  
Nobuyuki Matsumoto
Keyword(s):  
Molecular Dynamics ◽  
Monte Carlo ◽  
Matrix Model ◽  
Random Matrix ◽  
Gradient Flow ◽  
Monte Carlo Algorithm ◽  
Hybrid Monte Carlo ◽  
Random Matrix Model ◽  
Sign Problem ◽  
Multimodal Problems

Abstract As a solution towards the numerical sign problem, we propose a novel Hybrid Monte Carlo algorithm, in which molecular dynamics is performed on a continuum set of integration surfaces foliated by the antiholomorphic gradient flow (“the worldvolume of an integration surface”). This is an extension of the tempered Lefschetz thimble method (TLTM), and solves the sign and multimodal problems simultaneously as the original TLTM does. Furthermore, in this new algorithm, one no longer needs to compute the Jacobian of the gradient flow in generating a configuration, and only needs to evaluate its phase upon measurement. To demonstrate that this algorithm works correctly, we apply the algorithm to a chiral random matrix model, for which the complex Langevin method is known not to work.

scholarly journals Tuning the hybrid Monte Carlo algorithm using molecular dynamics forces’ variances

2019 ◽  
Vol 234 ◽  
pp. 179-187 ◽  
Author(s):  
A. Bussone ◽  
M. Della Morte ◽  
V. Drach ◽  
C. Pica
Keyword(s):  
Molecular Dynamics ◽  
Monte Carlo ◽  
Monte Carlo Algorithm ◽  
Hybrid Monte Carlo

scholarly journals Polynomial hybrid Monte Carlo algorithm for lattice QCD with an odd number of flavors

2002 ◽  
Vol 65 (9) ◽  
Author(s):  
S. Aoki ◽  
R. Burkhalter ◽  
M. Fukugita ◽  
S. Hashimoto ◽  
K-I. Ishikawa ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Lattice Qcd ◽  
Monte Carlo Algorithm ◽  
Hybrid Monte Carlo

scholarly journals ACCEPTANCES AND AUTOCORRELATIONS IN THE HYBRID MONTE CARLO ALGORITHM

1992 ◽  
Vol 03 (01) ◽  
pp. 43-52 ◽  
Author(s):  
SOURENDU GUPTA
Keyword(s):  
Molecular Dynamics ◽  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Exponent ◽  
Quark Mass ◽  
Monte Carlo Algorithm ◽  
Xy Model ◽  
Acceptance Probability ◽  
Hybrid Monte Carlo ◽  
Lattice Size

The acceptance probability in Hybrid Monte Carlo simulations of QCD, in particular, its dependence on the lattice size, quark mass and the coupling, is discussed. Results on the tuning of parameters required in order to achieve low autocorrelations in the 2-d XY model are presented. In both phases of this model, the dynamical critical exponent is close to 2 for runs with trajectory lengths between 1 and 3 molecular dynamics units.

scholarly journals ODD-FLAVOR HYBRID MONTE CARLO ALGORITHM FOR LATTICE QCD

2002 ◽  
Vol 13 (03) ◽  
pp. 343-365 ◽  
Author(s):  
TETSUYA TAKAISHI ◽  
PHILIPPE de FORCRAND
Keyword(s):  
Monte Carlo ◽  
Lattice Qcd ◽  
Correction Factor ◽  
Polynomial Approximation ◽  
Monte Carlo Algorithm ◽  
Hybrid Monte Carlo ◽  
Monte Carlo Algorithms

We discuss hybrid Monte Carlo algorithms for odd-flavor lattice QCD simulations. The algorithms include a polynomial approximation, which enables us to simulate odd-flavor QCD in the framework of the hybrid Monte Carlo algorithm. In order to make the algorithms exact, the correction factor to the polynomial approximation is also included in an economical, stochastic way. We test the algorithms for nf = 1, 1 + 1 and 2 + 1 flavors and compare results with other algorithms.

scholarly journals Testing a Fourier-accelerated hybrid Monte Carlo algorithm

2002 ◽  
Vol 528 (3-4) ◽  
pp. 301-305 ◽  
Author(s):  
Simon Catterall ◽  
Sergey Karamov
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Algorithm ◽  
Hybrid Monte Carlo
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