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The Yang--Mills gradient flow and its extension to the fermion field provide a very general method to obtain renormalized observables in gauge theory. The method is applicable also with non-perturbative regularization such as lattice. The…

High Energy Physics - Lattice · Physics 2016-06-29 Hiroshi Suzuki

The calculation of force is most difficult part in lattice Quantum Chromodynamics (QCD). This lecture gives the details of the force calculation in one-loop Symanzik improved action, Wilson fermion with clover term, asqtad fermion, HISQ…

High Energy Physics - Lattice · Physics 2021-12-14 Daming Li

The gradient (Wilson) flow has been introduced recently in order to provide a solid theoretical framework for the smoothing of ultraviolet noise in lattice gauge configurations. It is interesting to ask how it compares with other, more…

High Energy Physics - Lattice · Physics 2014-05-14 Claudio Bonati , Massimo D'Elia

Quark currents renormalization constants can in principle be safely computed in lattice perturbation theory. In practice, traditional lattice perturbative computations are quite cumbersome, so that so far only the first loop results were…

High Energy Physics - Lattice · Physics 2007-05-23 F. Di Renzo , A. Mantovi , V. Miccio , C. Torrero , L. Scorzato

This work develops a framework to apply normalizing-flow transformations of field configurations for all-orders Quantum Electrodynamics (QED) corrections in lattice field theory. This opens a new possibility to determine all-order…

High Energy Physics - Lattice · Physics 2026-05-22 Nils Hermansson-Truedsson , Gurtej Kanwar

We establish a factorization relation between baryon quasi-distribution amplitudes (quasi-DAs) defined with gradient flow and their counterparts renormalized in the $\overline{MS}\,$ scheme. Working beyond the small flow-time limit, we…

High Energy Physics - Phenomenology · Physics 2025-10-17 Jia-lu Zhang , Mu-Hua Zhang

We present an estimate for the imaginary part of the recently introduced finite temperature real-time static potential. It can be extracted from the time evolution of the Wilson loop in classical lattice gauge theory. The real-time static…

High Energy Physics - Lattice · Physics 2009-04-14 M. Laine , O. Philipsen , M. Tassler

We propose a new and simple method for determining the renormalized quark masses from lattice simulations. Renormalized quark masses are an important input to many phenomenological applications, including searching and modeling physics…

High Energy Physics - Lattice · Physics 2026-03-31 Matthew Black , Robert V. Harlander , Anna Hasenfratz , Antonio Rago , Oliver Witzel

For lattice QCD with two sea quark flavours we compute the static quark antiquark potential V(R) in the regime where string breaking is expected. In order to increase statistics, we make full use of the lattice information by including all…

High Energy Physics - Lattice · Physics 2009-10-31 B. Bolder , T. Struckmann , G. S. Bali , N. Eicker , Th. Lippert , B. Orth , K. Schilling , P. Ueberholz

Fermionic gradient flow in combination with the short-flow-time expansion provides a computational method where the renormalisation of hadronic matrix elements on the lattice can be simplified to address e.g. the issue that operators with…

High Energy Physics - Lattice · Physics 2024-12-02 Matthew Black , Robert Harlander , Fabian Lange , Antonio Rago , Andrea Shindler , Oliver Witzel

We compute the proper real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature. Our central result is the determination of the screened real-part of this potential, and we…

High Energy Physics - Lattice · Physics 2021-07-28 Alexander Lehmann , Alexander Rothkopf

The translation of experimental limits on the neutron electric dipole moment into constraints on heavy $CP$-violating physics beyond the Standard Model requires knowledge about non-perturbative matrix elements of effective operators, which…

High Energy Physics - Lattice · Physics 2023-08-31 Jona Bühler , Peter Stoffer

Gradient flow has proved useful in the definition and measurement of renormalized quantities on the lattice. Recently, the fact that it suppresses high-modes of the field has been used to construct new, continuous RG transformations both…

High Energy Physics - Lattice · Physics 2018-11-09 Andrea Carosso , Anna Hasenfratz , Ethan T. Neil

Renormalization factors for local vector and axial vector currents for the Wilson quark action are perturbatively calculated to one loop order including finite quark masses from the ratio of the on-shell quark matrix elements in the Feynman…

High Energy Physics - Lattice · Physics 2009-10-30 Yoshinobu Kuramashi

The overlap Dirac operator obeys the Ginsparg-Wilson equation and offers a possibility to introduce chiral symmetry on the lattice. Evaluating the overlap operator is numerically very expensive and one has to rely on approximation methods.…

High Energy Physics - Lattice · Physics 2014-11-04 M. Puhr , P. V. Buividovich

We study field strength correlators in presence of a static quark-antiquark pair by use of lattice methods. The lattice data have been acquired recently in the context of a determination of relativistic corrections to the static interquark…

High Energy Physics - Lattice · Physics 2014-11-17 Gunnar S. Bali , Nora Brambilla , Antonio Vairo

We give the analytical expressions and numerical values of radiative corrections to the covariant derivative operator on the static quark line, used for the lattice calculation of the Isgur-Wise form factors $\tau_{1/2}(1)$ and…

High Energy Physics - Lattice · Physics 2009-11-11 B. Blossier , A. Le Yaouanc , V. Morenas , O Pene

Normalizing flows can be used to construct unbiased, reduced-variance estimators for lattice field theory observables that are defined by a derivative with respect to action parameters. This work implements the approach for observables…

We propose a new method to compute the running coupling constant of gauge theories on the lattice. We first give the definition of the running coupling in the new scheme using the Wilson loops in a finite volume, and explain how the running…

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