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In the last few years it has been proposed a one-dimensional factorization of the fermion determinant in lattice QCD with Wilson-type fermions that leads to a block-local action of the auxiliary bosonic fields. Here we propose a…

高能物理 - 格点 · 物理学 2022-04-20 Leonardo Giusti , Matteo Saccardi

We discuss the recently proposed multiboson domain-decomposed factorization of the gauge-field dependence of the fermion determinant in lattice QCD. In particular, we focus on the case of a lattice divided in an arbitrary number of thick…

高能物理 - 格点 · 物理学 2022-11-22 Marco Cè , Leonardo Giusti , Stefan Schaefer

The numerical computations of many quantities of theoretical and phenomenological interest are plagued by statistical errors which increase exponentially with the distance of the sources in the relevant correlators. Notable examples are…

高能物理 - 格点 · 物理学 2018-04-18 Leonardo Giusti , Marco Cè , Stefan Schaefer

The non-local dependence of the fermion determinant on the gauge field limits our ability of simulating Quantum Chromodynamics on the lattice. Here we present a factorization of the gauge field dependence of the fermion determinant based on…

高能物理 - 格点 · 物理学 2022-11-15 Matteo Saccardi , Leonardo Giusti

We explore the possibility of computing fermionic correlators on the lattice by combining a domain decomposition with a multi-level integration scheme. The quark propagator is expanded in series of terms with a well defined hierarchical…

高能物理 - 格点 · 物理学 2016-05-18 Marco Cè , Leonardo Giusti , Stefan Schaefer

The computation of many correlation functions in lattice QCD is severely hindered by a signal-to-noise problem. Recent developments in the factorization of both the fermion propagator and determinant pave the way for the implementation of…

高能物理 - 格点 · 物理学 2018-12-06 Leonardo Giusti , Tim Harris , Alessandro Nada , Stefan Schaefer

We investigate L\"uscher's method of including dynamical Wilson fermions in a lattice simulation of QCD with two quark flavours. We measure the accuracy of the approximation by comparing it with Hybrid Monte Carlo results for gauge…

高能物理 - 格点 · 物理学 2009-10-28 C. Alexandrou , A. Borrelli , Ph. de Forcrand , A. Galli , F. Jegerlehner

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

When lattice QCD is formulated in sectors of fixed quark numbers, the canonical fermion determinants can be expressed explicitly in terms of transfer matrices. This in turn provides a complete factorization of the fermion determinants in…

高能物理 - 格点 · 物理学 2023-02-16 Urs Wenger

We develop an implementation for a recently proposed Noisy Monte Carlo approach to the simulation of lattice QCD with dynamical fermions by incorporating the full fermion determinant directly. Our algorithm uses a quenched gauge field…

高能物理 - 格点 · 物理学 2009-11-07 B. Joo , I. Horvath , K. F. Liu

Expansions of the Wilson determinant in lattice QCD with quarks produce gauge action terms which shift the coupling constant of the fundamental representation plaquette action and induce an adjoint representation plaquette action. We study…

高能物理 - 格点 · 物理学 2008-11-26 Leo Karkkainen , K. Rummukainen

We construct positive-definite pseudofermion actions for one fermion flavor in lattice field theory, for Wilson and domain-wall fermions respectively. The positive definiteness of these actions ensures that they can be simulated with the…

高能物理 - 格点 · 物理学 2019-08-13 Kenji Ogawa , Ting-Wai Chiu , Tung-Han Hsieh

We present a Quantum Monte Carlo (QMC) study, based on the Langevin equation, of a Hamiltonian describing electrons coupled to phonon degrees of freedom. The bosonic part of the action helps control the variation of the field in imaginary…

强关联电子 · 物理学 2019-01-16 G. G. Batrouni , Richard T. Scalettar

We study dynamical fermion effects in lattice QCD at finite temperature. The method adopted is basically the extrapolation from negative flavour numbers already tested at zero temperature and based on the simulation of local bosonic…

高能物理 - 格点 · 物理学 2009-10-28 G. M. de Divitiis , R. Frezzotti , M. Masetti , R. Petronzio

Thermodynamics in the strong coupling limit of lattice QCD has features which may be similar to those of continuum QCD, such as a chiral critical end point and a nuclear liquid gas transition. Here I compare the combinatorics of staggered…

高能物理 - 格点 · 物理学 2014-11-18 Wolfgang Unger

We study aspects concerning numerical simulations of Lattice QCD with two flavors of dynamical Ginsparg-Wilson quarks with degenerate masses. A Hybrid Monte Carlo algorithm is described and the formula for the fermionic force is derived for…

高能物理 - 格点 · 物理学 2009-10-31 Chuan Liu

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 extend the continuous-time interaction-expansion quantum Monte Carlo method with respect to measuring observables for fermion-boson lattice models. Using generating functionals, we express expectation values involving boson operators,…

强关联电子 · 物理学 2017-01-04 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

Problems in lattice gauge models with fermions are discussed. A new bosonic Hermitean effective action for lattice QCD with dynamical quarks is presented. In distinction of the previous version, it does not include constraints and is better…

高能物理 - 理论 · 物理学 2007-05-23 A. A. Slavnov

We propose various improvements of finite step-size updating for full QCD on the lattice that might turn finite step-size updating into a viable alternative to the hybrid Monte Carlo algorithm. These improvements are noise reduction of the…

高能物理 - 格点 · 物理学 2009-10-31 M. Hasenbusch
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