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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 study the SU(3) lattice gauge theory, with two flavors of sextet Wilson-clover fermions, near its finite-temperature phase transition. We find metastable states that have Wilson line expectation values whose complex phases are near 2pi/3…

High Energy Physics - Lattice · Physics 2010-01-27 Olga Machtey , Benjamin Svetitsky

We report scale setting and hadronic properties for our new lattice QCD gauge configuration set (HAL-conf-2023). We employ $(2+1)$-flavor nonperturbatively improved Wilson fermions with stout smearing and the Iwasaki gauge action on a…

High Energy Physics - Lattice · Physics 2024-11-12 Tatsumi Aoyama , Takahiro M. Doi , Takumi Doi , Etsuko Itou , Yan Lyu , Kotaro Murakami , Takuya Sugiura

Standard Monte Carlo simulations have been performed on improved lattices to measure the wave functions and sizes of the scalar and tensor glueballs at four lattice spacings in the range $a= 0.05 - 0.145$ fm. Systematic errors from…

High Energy Physics - Lattice · Physics 2009-11-11 Mushtaq Loan , Yi Ying

The kaon B parameter is calculated in quenched lattice QCD with the Wilson quark action. The mixing problem of the \Delta s=2 four-quark operators is solved non-perturbatively with full use of chiral Ward identities, and this method enables…

High Energy Physics - Lattice · Physics 2019-08-17 JLQCD Collaboration , S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , Y. Kuramashi , M. Okawa , A. Ukawa , T. Yoshié

We discuss testing improved actions in the context of finite volume gauge theories, where both results for the continuum and the Wilson lattice action are known analytically for volumes up to 0.7 fermi across. A new improved action is…

High Energy Physics - Lattice · Physics 2007-05-23 Margarita Garcia Perez , Jeroen Snippe , Pierre van Baal

We present a method for constructing classically perfect anisotropic actions for SU(3) gauge theory based on an isotropic Fixed Point Action. The action is parametrised using smeared (``fat'') links. The construction is done explicitly for…

High Energy Physics - Lattice · Physics 2009-11-07 Philipp Rufenacht , Urs Wenger

We report on the MILC collaboration's calculation of $f_B$, $f_{B_s}$, $f_D$, $f_{D_s}$, and their ratios. Our central values come from the quenched approximation, but the quenching error is estimated from $N_F=2$ dynamical staggered…

High Energy Physics - Phenomenology · Physics 2008-11-26 MILC Collaboration , C. Bernard , T. DeGrand , C. DeTar , Steven Gottlieb , Urs M. Heller , J. E. Hetrick , N. Ishizuka , C. McNeile , R. Sugar , D. Toussaint , M. Wingate

We present a study of the topological susceptibility in lattice QCD with two degenerate flavors of dynamical quarks. The topological charge is measured on gauge configurations generated with a renormalization group improved gauge action and…

We compare the light hadron spectrum and decay constants for quenched QCD at $\beta=6.2$ using an $O(a)$-improved nearest-neighbour Wilson fermion action with those obtained using the standard Wilson fermion action on the same set of 18…

High Energy Physics - Lattice · Physics 2012-08-27 UKQCD Collaboration

We report the findings of our extensive study of the spectra of flavoured mesons in lattice gauge theories with symplectic gauge group and fermion matter content treated in the quenched approximation. For the $Sp(4)$, $Sp(6)$, and $Sp(8)$…

High Energy Physics - Lattice · Physics 2024-04-17 Ed Bennett , Jack Holligan , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

I summarize recent progress in lattice gauge theory, with particular emphasis on results from numerical simulations. A major success has been the determination of the light hadron spectrum in the quenched approximation with sufficient…

High Energy Physics - Lattice · Physics 2007-05-23 Stephen R. Sharpe

We have computed the decay constants for the $B$ and $D$ mesons, using quenched lattices at $\beta=6.3$, by interpolating between the static approximation of Eichten and the conventional (``heavy'' Wilson fermion) method. A more careful…

High Energy Physics - Lattice · Physics 2009-10-22 Claude Bernard , James Labrenz , Amarjit Soni

First results from simulations of improved actions for both gauge fields and staggered fermion fields in three dimensional QCD are presented. This work provides insight into some issues of relevance to lattice theories in four dimensions.…

High Energy Physics - Lattice · Physics 2011-07-19 Howard D. Trottier

Using a tadpole improved SU(2) gluodynamics action, the nonabelian potential and the abelian potential after the abelian projection are computed. Rotational invariance is found restored at coarse lattices both in the nonabelian theory and…

High Energy Physics - Lattice · Physics 2010-11-19 G. I. Poulis

We calculate the perturbative scales (q*) for the axial and vector currents for the Wilson action, with and without tadpole improvement, using Lepage and Mackenzie's formalism. The scale for the pseudoscalar density (times the mass) is…

High Energy Physics - Lattice · Physics 2009-10-31 Claude Bernard , Maarten Golterman , Craig McNeile

A crucial step in extracting physical predictions from lattice QCD simulations is the scale setting, i.e. the determination of the lattice spacing ($a$) in physical units. Herein, the relative scale setting for different $\beta$'s is…

High Energy Physics - Lattice · Physics 2025-12-24 Orlando Oliveira , Paulo J Silva

Lattice gauge theory was formulated by Kenneth Wilson in 1974. In the ensuing decades, improvements in actions, algorithms, and computers have enabled tremendous progress in QCD, to the point where lattice calculations can yield sub-percent…

High Energy Physics - Lattice · Physics 2016-07-01 Steven Gottlieb

We test the capability of state-of-the-art lattice techniques for a precise determination of relativistic corrections to the static interquark potential, by use of SU(2) gauge theory. Emphasis is put on the short range structure of the spin…

High Energy Physics - Lattice · Physics 2009-10-28 Gunnar S. Bali , Klaus Schilling , Armin Wachter

Recent developments in finite-temperature studies of lattice QCD are reviewed. Topics include (i) tests of improved actions for the pure gauge system, (ii) scaling study of the two-flavor chiral transition and restoration of $U_A(1)$…

High Energy Physics - Lattice · Physics 2009-10-28 A. Ukawa
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