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We calculate the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions. This allows us to evaluate the three-loop correction (linear in $g_0^2$) to the relation between the…

高能物理 - 格点 · 物理学 2009-10-31 C. Christou , A. Feo , H. Panagopoulos , E. Vicari

The effect of repeatedly smearing SU(3) gauge configurations is investigated. Six gauge actions (Wilson, Symanzik, Iwasaki, DBW2, Beinlich-Karsch-Laermann, Langfeld; combined with a direct SU(3)-overrelaxation step) and three smearings…

高能物理 - 格点 · 物理学 2009-11-10 Stephan Dürr

We review the numerical analysis' understanding of Krylov subspace methods for solving (non-hermitian) systems of equations and discuss its implications for lattice gauge theory computations using the example of the Wilson fermion matrix.…

高能物理 - 格点 · 物理学 2009-10-28 Andreas Frommer

We present our investigation of SU(2) gauge theory with 8 flavours, and SU(3) gauge theory with 12 flavours. For the SU(2) case, at strong bare coupling, $\beta \lesssim 1.45$, the distribution of the lowest eigenvalue of the Dirac operator…

We describe a stochastic technique which allows one to compute numerically the coefficients of the weak coupling perturbative expansion of any observable in Lattice Gauge Theory. The idea is to insert the exponential representation of the…

高能物理 - 格点 · 物理学 2009-10-22 F. Di Renzo , G. Marchesini , P. Marenzoni , E. Onofri

In this work we investigate the infrared behaviour of a Yang-Mills theory coupled to a massless fermion in the adjoint representation of the gauge group SU(2). This model has many interesting properties, corresponding to the $\mathcal{N}=2$…

高能物理 - 格点 · 物理学 2022-12-07 Georg Bergner , Juan Camilo Lopez , Stefano Piemonte , Ivan Soler Calero

We report on the results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos. In the gauge sector the tree-level…

高能物理 - 格点 · 物理学 2011-02-09 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass, leaving only errors of $O(a^2)$. The method exploits the…

高能物理 - 格点 · 物理学 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

Within the framework of quenched lattice QCD and using O(a) improved Wilson fermions and non-perturbative renormalisation, a high statistics computation of low moments of the unpolarised nucleon structure functions is given. Particular…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Göckeler , R. Horsley , D. Pleiter , P. E. L. Rakow , G. Schierholz

We report the results of lattice numerical studies of the Sp(4) gauge theory coupled to fermions (hyperquarks) transforming in the fundamental and two-index antisymmetric representations of the gauge group. This strongly-coupled theory is…

高能物理 - 格点 · 物理学 2024-04-08 Ed Bennett , Deog Ki Hong , Ho Hsiao , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We compare light hadron spectroscopy using the Wilson and Clover fermionic actions. We show that a Clover coefficient chosen using tadpole-improved tree-level perturbation theory effectively eliminates the O(a) discretization errors present…

高能物理 - 格点 · 物理学 2010-01-18 Sara Collins , Robert G. Edwards , Urs. M. Heller , John Sloan

We report on advances in the non-perturbative determination of the ratio $Z_S/Z_P$ of the pseudoscalar to the scalar renormalization constants in three-flavour lattice QCD with Wilson-clover quarks and tree-level Symanzik improved gluons.…

高能物理 - 格点 · 物理学 2018-10-09 Jochen Heitger , Fabian Joswig , Anastassios Vladikas

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

高能物理 - 格点 · 物理学 2022-03-16 Leonardo Chimirri , Rainer Sommer

Lattice formulations of QCD with Wilson fermions and a chirally twisted quark mass matrix provide an attractive framework for non-perturbative numerical studies. Owing to reparameterization invariance, the limiting continuum theory is just…

高能物理 - 格点 · 物理学 2009-11-07 R. Frezzotti

In this work, we perform parameter tuning with dynamical anisotropic clover lattices using the Schr\"odinger functional and stout-smearing in the fermion field. We find that $\xi_R/\xi_0$ is relatively close to 1 in our parameter search,…

高能物理 - 格点 · 物理学 2014-11-18 Huey-Wen Lin , Robert G. Edwards , Bálint Joó

A number of proposed extensions of the Standard Model include new strongly interacting dynamics, in the form of SU(N) gauge fields coupled to various numbers of fermions. Often, these extensions allow N = 3 as a plausible choice, or even…

高能物理 - 唯象学 · 物理学 2025-10-09 Thomas DeGrand , Ethan T. Neil

We use quantum link models to construct a quantum simulator for U(N) and SU(N) lattice gauge theories. These models replace Wilson's classical link variables by quantum link operators, reducing the link Hilbert space to a finite number of…

高能物理 - 格点 · 物理学 2013-11-21 Michael Bögli

We determine quark mass dependent order $a$ improvement terms of the form $b_Jam$ for non-singlet scalar, pseudoscalar, vector and axialvector currents using correlators in coordinate space on a set of CLS ensembles. These have been…

高能物理 - 格点 · 物理学 2017-05-22 Piotr Korcyl , Gunnar S. Bali

Nonlocal quark bilinear operators connected by link paths are used for studying parton distribution functions (PDFs) and transverse momentum-dependent PDFs of hadrons using lattice QCD. The nonlocality makes it difficult to understand the…

高能物理 - 格点 · 物理学 2020-04-17 Jeremy R. Green , Karl Jansen , Fernanda Steffens

Flavor singlet and non-singlet axial Ward identities are investigated using the Wilson formulation of lattice QCD with Clover O(a)-improvement, which breaks explicitly chiral symmetry. The matching at one-loop order of all the relevant…

高能物理 - 格点 · 物理学 2015-06-25 D. Guadagnoli , S. Simula
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