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We discuss a proposal for the construction of lattice QCD with gauge action, fermionic action, theta-term, and the operators all based on the lattice Dirac operator D with exact chiral symmetry. The simplest regularization of this type uses…

高能物理 - 格点 · 物理学 2008-11-26 Ivan Horvath

We propose improved estimators to compute the reweighting factors which are needed for lattice QCD calculations that rely on twisted-mass reweighting for the light quark contribution and the Rational Hybrid Monte Carlo (RHMC) algorithm for…

高能物理 - 格点 · 物理学 2024-03-19 Simon Kuberski

We present a performance comparison of the Kramers equation and the boson algorithms for simulations of QCD with two flavors of dynamical Wilson fermions and gauge group $SU(2)$. Results are obtained on $6^312$, $8^312$ and $16^4$ lattices.…

高能物理 - 格点 · 物理学 2009-10-28 Karl Jansen , Beat Jegerlehner , Chuan Liu

The combination of a non-overlapping Schwarz preconditioner and the Hybrid Monte Carlo (HMC) algorithm is shown to yield an efficient simulation algorithm for two-flavour lattice QCD with Wilson quarks. Extensive tests are performed, on…

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

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

Efficient continuous time quantum Monte Carlo (CT-QMC) algorithms that do not suffer from time discretization errors have become the state-of-the-art for most discrete quantum models. They have not been widely used yet for fermionic quantum…

强关联电子 · 物理学 2015-07-08 Mauro Iazzi , Matthias Troyer

We present an update on our previous determination of the Lambda parameter in QCD. The main emphasis is on results for two flavours of light dynamical quarks, where we can now almost double the amount of data used, including values at…

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , A. C. Irving , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben

Some algorithms for the numerically exact treatment of fermion determinants are summarised. This is not supposed to be a review, rather a concise handbook. The audience is expected to have a basic understanding of how to put fermions on a…

计算物理 · 物理学 2026-04-03 Johann Ostmeyer

The `dynamic' Hubbard Hamiltonian describes interacting fermions on a lattice whose on-site repulsion is modulated by a coupling to a fluctuating bosonic field. We investigate one such model, introduced by Hirsch, using the determinant…

超导电性 · 物理学 2009-11-13 K. Bouadim , M. Enjalran , F. Hebert , G. G. Batrouni , R. T. Scalettar

A numerical method is presented for reproducing fermionic quantum gas microscope experiments in equilibrium. By employing nested componentwise direct sampling of fermion pseudo-density matrices, as they arise naturally in determinantal…

量子气体 · 物理学 2021-08-31 Stephan Humeniuk , Yuan Wan

These notes aim to provide a pedagogical introduction to Lattice QCD. The topics covered include the scope of LQCD calculations, lattice discretization of gauge and fermion (naive, Wilson, and staggered) actions, doubling problem, improved…

高能物理 - 格点 · 物理学 2007-05-23 Rajan Gupta

Many observables of interest in lattice QCD are extracted from correlation functions involving the vector current. If Wilson fermions are used, it is therefore of practical importance that, besides the action, the current be O($a$) improved…

高能物理 - 格点 · 物理学 2015-12-16 Tim Harris , Harvey B. Meyer

The fermion determinant is a highly non-local object and its logarithm is an extensive quantity. For these reasons it is widely believed that the determinant cannot be treated in acceptance steps of gauge link configurations that differ in…

高能物理 - 格点 · 物理学 2011-12-09 Jacob Finkenrath , Francesco Knechtli , Björn Leder

A discussion of methods for reducing the noise variance of flavor singlet quantities ("disconnected diagrams") in lattice QCD is given. After an introduction, the possible advantage of partitioning the Wilson fermion matrix into disjoint…

高能物理 - 格点 · 物理学 2007-05-23 Walter Wilcox

A comprehensive linear stability analysis of force-gradient integrators and their Hessian-free variants is carried out by investigating the harmonic oscillator as a test equation. The analysis reveals that the linear stability of…

高能物理 - 格点 · 物理学 2026-02-05 Kevin Schäfers , Jacob Finkenrath , Michael Günther , Francesco Knechtli

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

Disconnected diagrams are expected to be sensitive to the inclusion of dynamical fermions. We present a feasibility study for the observation of such effects on the nucleonic matrix elements of the axial vector current, using SESAM full QCD…

高能物理 - 格点 · 物理学 2009-10-30 J. Viehoff , N. Eicker , S. Guesken , H. Hoeber , P. Lacock , Th. Lippert , G. Ritzenhoefer , K. Schilling , A. Spitz , P. Ueberholz

Simulating lattice QCD with chiral fermions and indeed using Domain Wall Fermions continues to be challenging project however large are concurrent computers. One obvious bottleneck is the slow pace of prototyping using the low level coding…

高能物理 - 格点 · 物理学 2007-05-23 Artan Borici

We present an exact dynamical QCD simulation algorithm for the $O(a)$-improved Wilson fermion with odd number of flavors. Our algorithm is an extension of the non-Hermitian polynomials HMC algorithm proposed by Takaishi and de Forcrand…

We present the current status of a non-perturbative lattice calculation of the moments of the pion and kaon distribution amplitudes by the RQCD collaboration. Our investigation is carried out using $N_f=2+1$ dynamical, non-perturbatively…