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Related papers: Update on the gradient flow scale on the 2+1+1 HIS…

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I analyze cutoff effects of the gradient flow for Wilson-type fermions. I show that with a proper choice of the higher dimensional fields in the Symanzik effective theory, O($a$) improvement of the action is achieved changing the initial…

High Energy Physics - Lattice · Physics 2023-01-23 Andrea Shindler

We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining phase transition, the gradient flow and the cooling flow to set the scale. For the gradient and cooling…

High Energy Physics - Lattice · Physics 2017-05-24 Bernd A. Berg , David A. Clarke

We study several types of tree-level improvement in the Yang-Mills gradient flow method in order to reduce the lattice discretization errors in line with Fodor et al. [arXiv:1406.0827]. The tree-level $\mathcal{O}(a^2)$ improvement can be…

High Energy Physics - Lattice · Physics 2017-03-15 Norihiko Kamata , Shoichi Sasaki

We present a summary of results of the joint CP-PACS and JLQCD project toward a 2+1 flavor full QCD simulation with the O(a)-improved Wilson quark formalism and the Iwasaki gauge action. Configurations were generated during 2002-2005 at…

We calculate the hadronic scales $r_0$, $r_1$ and their ratio $r_0/r_1$ on $N_{\rm f}=2+1$ flavor QCD ensembles generated by the CLS consortium. These scales are determined from a tree-level improved definition of the static force on the…

High Energy Physics - Lattice · Physics 2025-07-11 Tom Matty Bo Asmussen , Roman Höllwieser , Francesco Knechtli , Tomasz Korzec

The Yang-Mills gradient flow and the observable E(t), defined by the square of the field strength tensor at t>0, are calculated at finite lattice spacing and tree-level in the gauge coupling. Improvement of the flow, the gauge action and…

High Energy Physics - Lattice · Physics 2015-06-19 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We present a framework for phenomenological lattice QCD calculations which makes use of a tree level Symanzink improved action for gluons and stout-link Wilson fermions. We give details of our efficient HMC/RHMC algorithm and present a…

High Energy Physics - Lattice · Physics 2009-02-10 S. Durr , Z. Fodor , C. Hoelbling , R. Hoffmann , S. D. Katz , S. Krieg , T. Kurth , L. Lellouch , T. Lippert , K. K. Szabo , G. Vulvert

The step-scaling function, the lattice analog of the renormalization group $\beta$ function, is presented for the SU(3) gauge system with eight flavors in the fundamental representation. Our investigation is based on generating dynamical…

High Energy Physics - Lattice · Physics 2023-06-28 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

We calculate the renormalized step scaling function for twelve fundamental flavors nonperturbatively by determining the gradient flow coupling on gauge field configurations generated with dynamical stout-smeared M\"obius domain wall…

High Energy Physics - Lattice · Physics 2018-10-15 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

We present a summary of the full calculation of the axial, scalar and tensor flavor diagonal charges of the nucleon carried out using Wilson-clover fermions on eight ensembles generated using 2+1+1-flavors of highly improved staggered…

High Energy Physics - Lattice · Physics 2024-01-02 Sungwoo Park , Tanmoy Bhattacharya , Rajan Gupta , Huey-Wen Lin , Santanu Mondal , Boram Yoon

Updates on results for the electric, magnetic and axial vector form factors are presented. The data analyzed cover high statistics measurements on 11 ensembles generated with 2+1+1 flavors of HISQ fermions by the MILC collaboration. The…

High Energy Physics - Lattice · Physics 2019-02-01 Yong-Chull Jang , Tanmoy Bhattacharya , Rajan Gupta , Huey-Wen Lin , Boram Yoon

We calculate the PCAC mass for $(2+1)$ flavor full QCD with Wilson-type quarks. We adopt the Small Flow-time eXpansion (SFtX) method based on the gradient flow which provides us a general way to compute correctly renormalized observables…

High Energy Physics - Lattice · Physics 2020-01-07 Atsushi Baba , Shinji Ejiri , Kazuyuki Kanaya , Masakiyo Kitazawa , Asobu Suzuki , Hiroshi Suzuki , Yusuke Taniguchi , Takashi Umeda

We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing $N_f=2+1$ flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and…

We discuss scale setting in the context of 2+1 dynamical fermion simulations where we approach the physical point in the quark mass plane keeping the average quark mass constant. We have simulations at four beta values, and after…

High Energy Physics - Lattice · Physics 2015-12-18 V. G. Bornyakov , R. Horsley , R. Hudspith , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

We present first results of the scale setting for QCD with Nf=3+1 dynamical quarks on the lattice. We use a recently proposed massive renormalization scheme with a non-perturbatively determined clover coefficient. To relate the bare…

High Energy Physics - Lattice · Physics 2019-08-09 Roman Höllwieser , Francesco Knechtli , Tomasz Korzec

The RBC and UKQCD Collaborations continue to produce 2+1 flavor domain wall fermion ensembles, currently focusing on an ensemble with a $96^3 \times 192$ volume on SUMMIT at ORNL with $1/a \approx 2.8$ GeV, and smaller ensembles at stronger…

High Energy Physics - Lattice · Physics 2020-01-01 Robert D. Mawhinney

The cut-off effects of the lattice gradient flow -- often called Wilson flow -- are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used…

High Energy Physics - Lattice · Physics 2014-11-03 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We present results of our continuing study on mixed-action hadron spectra and decay constants using overlap valence quarks on MILC's 2+1+1 flavor HISQ gauge configurations. This study is carried out on three lattice spacings, with charm and…

High Energy Physics - Lattice · Physics 2015-02-17 S. Basak , S. Datta , N. Mathur , A. T. Lytle , P. Majumdar , M. Padmanath

With the emergence of the Yang-Mills gradient flow technique there is renewed interest in the issue of scale setting in lattice gauge theory. Here I compare for the SU(3) Wilson gauge action non-perturbative scale functions of Edwards,…

High Energy Physics - Lattice · Physics 2015-05-07 Bernd A. Berg

We propose a new method to determine the quark mass by using bilinear operators of the flowed quark field defined within the gradient-flow formalism. This method enables the quark mass determination through a comparison of perturbative…

High Energy Physics - Lattice · Physics 2024-11-22 Hiromasa Takaura , Robert Harlander , Fabian Lange