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We use gradient flow to compute the static force based on a Wilson loop with a chromoelectric field insertion. The result can be compared on one hand to the static force from the numerical derivative of the lattice static energy, and on the…

High Energy Physics - Lattice · Physics 2022-12-26 Nora Brambilla , Viljami Leino , Julian Mayer-Steudte , Antonio Vairo

We report on salient features of a mixed lattice QCD action using valence M\"{o}bius domain-wall fermions solved on the dynamical $N_f=2+1+1$ HISQ ensembles generated by the MILC Collaboration. The approximate chiral symmetry properties of…

We study the running of the coupling in SU(2) gauge theory with 8 massless fundamental representation fermion flavours, using the gradient flow method with the Schr\"odinger functional boundary conditions. Gradient flow allows us to measure…

High Energy Physics - Lattice · Physics 2015-11-13 Viljami Leino , Tuomas Karavirta , Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen

We use the Wilson flow to define the gauge anisotropy at a given physical scale. We demonstrate the use of the anisotropic flow by performing the tuning of the bare gauge anisotropy in the tree-level Symanzik action for several lattice…

High Energy Physics - Lattice · Physics 2012-05-04 S. Borsanyi , S. Durr , Z. Fodor , S. D. Katz , S. Krieg , T. Kurth , S. Mages , A. Schafer , K. K. Szabo

The equivalence of cooling to the gradient flow when the cooling step $n_c$ and the continuous flow step of gradient flow $\tau$ are matched is generalized to gauge actions that include rectangular terms. By expanding the link variables up…

High Energy Physics - Lattice · Physics 2015-12-23 Constantia Alexandrou , Andreas Athenodorou , Karl Jansen

I perform an improved study of the $\beta$-function of $ SU(3) $ lattice gauge theory with $N_f=10$ massless optimal domain-wall fermions in the fundamental representation, which serves as a check to what extent the scenario in the previous…

High Energy Physics - Lattice · Physics 2019-01-23 Ting-Wai Chiu

The inconsistency between the fixed-order (FO) and contour-improved (CI) representation of the QCD corrections to the inclusive hadronic tau decay width limits the precision to which the strong coupling can be determined from this process.…

High Energy Physics - Phenomenology · Physics 2023-09-21 Martin Beneke , Hiromasa Takaura

The Yang-Mills gradient flow for QCD-like theories is generalized by including a fermionic matter term in the gauge field flow equation. We combine this with two different flow equations for the fermionic degrees of freedom. The solutions…

High Energy Physics - Theory · Physics 2021-02-24 Marco Boers

Gradient Boosted Decision Trees (GBDT) is a very successful ensemble learning algorithm widely used across a variety of applications. Recently, several variants of GBDT training algorithms and implementations have been designed and heavily…

Machine Learning · Computer Science 2019-06-27 Yu Shi , Jian Li , Zhize Li

We present the first numerical investigation of the method proposed in Ref. [1] to utilize gradient flow to obtain precise determinations of higher moments of PDFs from lattice QCD, circumventing power divergent mixing with lower…

This work presents gauge-equivariant architectures for flow-based sampling in fermionic lattice field theories using pseudofermions as stochastic estimators for the fermionic determinant. This is the default approach in state-of-the-art…

This article overviews how gradient flows, and discretizations thereof, are useful to design and analyze optimization and sampling algorithms. The interplay between optimization, sampling, and gradient flows is an active research area; our…

Computation · Statistics 2023-02-23 N. Garcia Trillos , B. Hosseini , D. Sanz-Alonso

The recent introduction of the gradient flow has provided a new tool to probe the dynamics of quantum field theories. The latest developments have shown how to use the gradient flow for the exploration of symmetries, and the definition of…

High Energy Physics - Theory · Physics 2015-06-16 Luigi Del Debbio , Agostino Patella , Antonio Rago

Fixed-point (FP) lattice actions are classically perfect, i.e., they have continuum classical properties unaffected by discretization effects and are expected to have suppressed lattice artifacts at weak coupling. Therefore they provide a…

High Energy Physics - Lattice · Physics 2025-02-21 Kieran Holland , Andreas Ipp , David I. Müller , Urs Wenger

We present preliminary result for the step-scaling study of the coupling constant with the Yang-Mills gradient flow, in the twelve-favour SU(3) gauge theory. In this work, the lattice simulation is performed using unimproved staggered…

High Energy Physics - Lattice · Physics 2014-11-03 C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Alberto Ramos , Eigo Shintani

We examine the proposal by Grabowska and Kaplan (GK) to use the infinite gradient flow in the domain-wall formulation of chiral lattice gauge theories. We consider the case of Abelian theories in detail, for which L\"uscher's exact…

High Energy Physics - Lattice · Physics 2020-04-22 Taichi Ago , Yoshio Kikukawa

As an adaptive, interpretable, robust, and accurate meta-algorithm for arbitrary differentiable loss functions, gradient tree boosting is one of the most popular machine learning techniques, though the computational expensiveness severely…

Machine Learning · Computer Science 2019-11-21 Daniel Chao Zhou , Zhongming Jin , Tong Zhang

Extracting continuum properties of quantum field theories from discretized spacetime is challenging due to lattice artifacts. Renormalization-group (RG)-improved lattice actions can preserve continuum properties, but are in general…

High Energy Physics - Lattice · Physics 2026-02-16 Kieran Holland , Andreas Ipp , David I. Müller , Urs Wenger

This paper describes the thirteen ensembles, named NME, generated with 2+1-flavor Wilson-clover fermions by the JLab/W\&M/LANL/MIT/Marseille collaborations, and presents an analysis of the meson and baryon spectrum, decay constants $f_\pi$…

We present scaling studies for heavy-quark observables calculated with an $O(a^2)$-improved fermion action on tree-level Symanzik improved gauge configurations. Lattices of $1/a = $ 2.0-3.8 GeV with an equal physical volume 1.6 fm are used.…

High Energy Physics - Lattice · Physics 2014-12-22 Yong-Gwi Cho , Shoji Hashimoto , Jun-Ichi Noaki , Takashi Kaneko , Andreas Jüttner , Justus Tsang , Marina Marinkovic
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