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The coefficients multiplying the counterterms required for O($a$) improvement of the action and the isovector axial current in lattice QCD are computed non-perturbatively, in the quenched approximation and for bare gauge couplings $g_0$ in…

高能物理 - 格点 · 物理学 2016-09-01 Martin Luescher , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

In this paper we test an approximate method that is often used in lattice studies of the Landau gauge three-gluon vertex. The approximation consists in describing the lattice correlator with tensor bases from the continuum theory. With the…

高能物理 - 格点 · 物理学 2019-02-13 Milan Vujinovic , Tereza Mendes

I review the strategies which have been developped in recent years to solve the non-perturbative renormalization problem in lattice field theories. Although the techniques are general, the focus will be on applications to lattice QCD. I…

高能物理 - 格点 · 物理学 2009-10-31 Stefan Sint

This work presents a novel lattice-based methodology for incorporating multidimensional constraints into continuous decision variables within a genetic algorithm (GA) framework. The proposed approach consolidates established transcription…

神经与进化计算 · 计算机科学 2024-10-17 Cameron D. Harris , Kevin B. Schroeder , Jonathan Black

For an asymptotically free theory, a promising strategy for eliminating Critical Slowing Down (CSD) is na\"ive Fourier acceleration. This requires the introduction of gauge-fixing into the action, in order to isolate the asymptotically…

高能物理 - 格点 · 物理学 2025-03-27 Ahmed Sheta , Yidi Zhao , Norman H. Christ

In the last century the non-perturbative regularization of chiral fermions was a long-standing problem. We review how this problem was finally overcome by the formulation of a modified but exact form of chiral symmetry on the lattice. This…

高能物理 - 格点 · 物理学 2011-09-28 Wolfgang Bietenholz

We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type structure, where the target vectors are boundably short. For…

符号计算 · 计算机科学 2010-02-04 Mark Van Hoeij , Andrew Novocin

We analyze the gauge fixing precision dependence of some non-local quark-blinear lattice operators interesting in computing parton physics for several measurements, using 5 lattice spacings ranging from 0.032 fm to 0.121 fm. Our results…

高能物理 - 格点 · 物理学 2024-05-24 Kuan Zhang , Yi-Kai Huo , Xiangdong Ji , Andreas Schaefer , Chun-Jiang Shi , Peng Sun , Wei Wang , Yi-Bo Yang , Jian-Hui Zhang

Three techniques for performing gauge-invariant, noncompact lattice simulations of nonabelian gauge theories are discussed. In the first method, the action is not itself gauge invariant, but a kind of lattice gauge invariance is restored by…

高能物理 - 格点 · 物理学 2008-02-03 Kevin Cahill

A finite-size technique is employed to compute the normalization constant $Z_A$ of the isovector axial current in lattice QCD. The calculation is carried out in the quenched approximation for values of the bare gauge coupling $g_0$ ranging…

高能物理 - 格点 · 物理学 2016-09-01 Martin Lüscher , Stefan Sint , Rainer Sommer , Hartmut Wittig

The new method of nonperturbative calculation of the beta-function in the lattice gauge theory is proposed. The method is based on the finite size scaling hypothesis.

高能物理 - 格点 · 物理学 2007-05-23 O. Mogilevsky

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

2-color QCD is the simplest QCD-like theory which is accessible to lattice simulations at finite density. It therefore plays an important role to test qualitative features and to provide benchmarks to other methods and models, which do not…

高能物理 - 格点 · 物理学 2019-05-28 Tamer Boz , Ouraman Hajizadeh , Axel Maas , Jon-Ivar Skullerud

Double beta decays are rare nuclear processes that can occur in two modes: two-neutrino double beta decay, observed in the Standard Model, and neutrinoless double beta decay, a hypothetical process with profound implications for Particle…

高能物理 - 格点 · 物理学 2023-12-04 Saurabh V. Kadam

Despite the numerous successful applications of lattice QCD in nuclear and particle theory, fundamental algorithmic challenges remain. Among those, relevant for numerical studies of QCD on a space-time torus, is topological freezing--a form…

高能物理 - 格点 · 物理学 2016-12-07 Michael G. Endres

We have applied a new noncompact, gauge-invariant, Monte Carlo method to simulate the U(1), SU(2), and SU(3) gauge theories on 8^4 and 12^4 lattices. For U(1) the Creutz ratios of the Wilson loops agree with the exact results for beta > 0.5…

高能物理 - 格点 · 物理学 2009-10-31 Kevin Cahill , Gary Herling

We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from…

高能物理 - 格点 · 物理学 2009-10-09 G. Martinelli , C. Pittori , C. T. Sachrajda , M. Testa , A. Vladikas

We present an application of the standard Langevin dynamics to the problem of weak coupling perturbative expansions for Lattice QCD. This method can be applied to the computation of the most general observables. In this preliminary work we…

高能物理 - 格点 · 物理学 2009-09-25 Francesco Di Renzo , Giuseppe Marchesini , Paolo Marenzoni , Enrico Onofri

The relative smoothing rates of various gauge field smoothing algorithms are investigated on ${\cal O}(a^2)$-improved $\suthree$ Yang--Mills gauge field configurations. In particular, an ${\cal O}(a^2)$-improved version of APE smearing is…

高能物理 - 格点 · 物理学 2010-03-04 Frederic D. R. Bonnet , Derek B. Leinweber , Anthony G. Williams , James M. Zanotti

In theories with topological sectors, such as lattice QCD and four-dimensional SU(N) gauge theories with periodic boundary conditions, conventional update algorithms suffer from topological freezing due to large action barriers separating…

高能物理 - 格点 · 物理学 2026-04-07 Timo Eichhorn , Gianluca Fuwa , Christian Hoelbling , Lukas Varnhorst