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相关论文: Non-perturbative O(a) improvement of lattice QCD

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A finite-size technique is employed to compute the normalization constant $Z_A$ of the isovector axial current in lattice QCD. The calculation is carried out in the quenched approximation for values of the bare gauge coupling $g_0$ ranging…

高能物理 - 格点 · 物理学 2016-09-01 Martin Lüscher , Stefan Sint , Rainer Sommer , Hartmut Wittig

We perform a nonperturbative determination of the $O(a)$-improvement coefficient $c_{\rm SW}$ and the critical hopping parameter $\kappa_c$ for $N_f$=3, 2, 0 flavor QCD with the RG-improved gauge action using the Schr\"odinger functional…

It is shown how on-shell O(a) improvement can be implemented non-perturbatively in lattice QCD with Wilson quarks. Improvement conditions are obtained by requiring the PCAC relation to hold exactly in certain matrix elements. These are…

高能物理 - 格点 · 物理学 2009-10-28 M. Lüscher , S. Sint , R. Sommer , P. Weisz , H. Wittig , U. Wolff

A general strategy to solve the non-perturbative renormalization problem in lattice QCD, using finite-size techniques and numerical simulations, is described. As an illustration we discuss the computation of the axial current normalization…

高能物理 - 格点 · 物理学 2009-10-28 Karl Jansen , Chuan Liu , Martin Luescher , Hubert Simma , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

We give an introduction to three topics in lattice gauge theory: I. The Schroedinger Functional and O(a) improvement. O(a) improvement has been reviewed several times. Here we focus on explaining the basic ideas in detail and then proceed…

高能物理 - 格点 · 物理学 2007-05-23 Rainer Sommer

We review the O(a) improvement of lattice QCD with special emphasis on the motivation for performing the improvement programme non-perturbatively and the general concepts of on-shell improvement. The present status of the calculations of…

高能物理 - 格点 · 物理学 2009-10-30 Rainer Sommer

We determine the improvement coefficients b_m and b_a-bp in quenched lattice QCD for a range of beta-values, which is relevant for current large scale simulations. At fixed beta, the results are rather sensitive to the precise choices of…

高能物理 - 格点 · 物理学 2008-11-26 Marco Guagnelli , Roberto Petronzio , Juri Rolf , Stefan Sint , Rainer Sommer , Ulli Wolff

We determine the nonperturbative anisotropic parameter of the gauge action in the quenched approximation with less than 1% accuracy using the Sommer scale measured by the L\"uscher-Weisz algorithm or smearing technique. We also study the…

高能物理 - 格点 · 物理学 2009-11-10 Hideo Matsufuru , Hidenori Fukaya , Masanori Okawa , Tetsuya Onogi , Takashi Umeda

We consider O(a) improvement for two flavor lattice QCD. The improvement term in the action is computed non-perturbatively for a large range of the bare coupling. The position of the critical line and higher order lattice artifacts…

高能物理 - 格点 · 物理学 2009-10-31 Karl Jansen , Rainer Sommer

The ALPHA collaboration has determined the O(a) improved Wilson quark action for lattice spacings $a\leq 0.1$ fm, in the quenched approximation. We extend this result to coarser lattices, $a\leq 0.17$ fm, and calculate the hadron spectrum…

高能物理 - 格点 · 物理学 2009-10-30 R. G. Edwards , U. M. Heller , T. R. Klassen

The coefficient c_A required for O(a) improvement of the axial current in lattice QCD with N_f=3 flavors of Wilson fermions and the tree-level Symanzik-improved gauge action is determined non-perturbatively. The standard improvement…

高能物理 - 格点 · 物理学 2015-12-09 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We non-perturbatively calculate the renormalization factor of the static axial vector current in O(a) improved quenched lattice QCD. Its scale dependence is mapped out in the Schroedinger functional scheme by means of a recursive…

高能物理 - 格点 · 物理学 2009-11-07 Jochen Heitger , Martin Kurth , Rainer Sommer

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the…

高能物理 - 唯象学 · 物理学 2009-10-30 Rainer Sommer

The conservation of the isovector axial current in lattice QCD with massless Wilson quarks is studied to one-loop order of perturbation theory. Following a strategy described in a previous publication, the O($a$) counterterm required for…

高能物理 - 格点 · 物理学 2016-08-15 M. Lüscher , P. Weisz

We improve the non-relativistic QCD (NRQCD) action by comparing the dispersion relation to that of the continuum through $\mathcal{O}(p^6)$ in perturbation theory. The one-loop matching coefficients of the $\mathcal{O}(p^4)$ kinetic…

We perform a non-perturbative determination of the O(a)-improvement coefficient c_SW for the Wilson quark action in three-flavor QCD with the plaquette gauge action. Numerical simulations are carried out in a range of \beta=12.0-5.2 on a…

We compute several coefficients needed for O(a) improvement of currents in perturbation theory, using the Brodsky-Lepage-Mackenzie prescription for choosing an optimal scale q*. We then compare the results to non-perturbative calculations.…

高能物理 - 格点 · 物理学 2009-11-07 Junpei Harada , Shoji Hashimoto , Andreas S. Kronfeld , Tetsuya Onogi

In previous work, we determined the improvement coefficients $c_\mathrm{V}$ and $c_{\tilde{\mathrm{V}}}$ required for the massless $\mathrm{O}(a)$-improvement of the local and point-split discretizations of the non-singlet vector current…

高能物理 - 格点 · 物理学 2025-10-09 Tim Harris , Harvey B. Meyer

We present our progress in the non-perturbative O(a) improvement and renormalization of tensor currents in three-flavor lattice QCD with Wilson-clover fermions and tree-level Symanzik improved gauge action. The mass-independent O(a)…

高能物理 - 格点 · 物理学 2019-10-16 Leonardo Chimirri , Patrick Fritzsch , Jochen Heitger , Fabian Joswig , Marco Panero , Carlos Pena , David Preti

We present results at one-loop order of perturbation theory for various improvement coefficients in on-shell O($a$) improved lattice QCD. In particular we determine the additive counterterm required for on-shell improvement of the isovector…

高能物理 - 格点 · 物理学 2009-10-30 Stefan Sint , Peter Weisz
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