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SU(3) lattice gauge theory is studied by means of an improved action where a $2 \times 2$ Wilson loop is supplemented to the standard plaquette term. By contrast to earlier studies using a tree level improvement, the prefactor of the $2…

高能物理 - 格点 · 物理学 2007-05-23 Kurt Langfeld

We discuss a general strategy to compute the coefficients of QCD chiral Lagrangian by using the lattice regularization of QCD with Wilson fermions. This procedure requires the introduction of an effective Lagrangian for lattice QCD as an…

高能物理 - 格点 · 物理学 2009-10-28 A. R. Levi , V. Lubicz , C. Rebbi

The QCD coupling appears in the perturbative expansion of the current-current two-point (vacuum polarization) function. Any lattice calculation of vacuum polarization is plagued by several competing non-perturbative effects at small momenta…

高能物理 - 格点 · 物理学 2015-10-19 Renwick J. Hudspith , Randy Lewis , Kim Maltman , Eigo Shintani

The contribution from hadronic vacuum polarisation effects is responsible for a large fraction of the theoretical uncertainty in the running of the QED coupling. The current level of uncertainty has become a limitation for electroweak…

高能物理 - 格点 · 物理学 2014-12-23 Anthony Francis , Gregorio Herdoíza , Hanno Horch , Benjamin Jäger , Harvey B. Meyer , Hartmut Wittig

We calculate the perturbative value of the free energy in Lattice QCD, up to three loops. Our calculation is performed using Wilson gluons and the Sheikholeslami - Wolhert (clover) improved action for fermions. The free energy is directly…

高能物理 - 格点 · 物理学 2008-11-26 A. Athenodorou , H. Panagopoulos , A. Tsapalis

Scaling behavior is analyzed for the two-flavor QCD lattice gauge theory chiral transition. Leading scaling behavior and correction to leading scaling from lattice spacing effects are examined for the quark condensate. Scaling predictions…

高能物理 - 唯象学 · 物理学 2009-10-28 Arjun Berera

We report on our study of two-flavor full QCD on anisotropic lattices using $O(a)$-improved Wilson quarks coupled with an RG-improved glue. The bare gauge and quark anisotropies corresponding to the renormalized anisotropy $\xi=a_s/a_t = 2$…

We calculate an effective Polyakov line action of QCD at large Nc and large Nf from a combined lattice strong coupling and hopping expansion working to second order in both, where the order is defined by the number of windings in the…

高能物理 - 格点 · 物理学 2015-06-18 Alexander S. Christensen , Joyce C. Myers , Peter D. Pedersen

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 report on an ongoing non-perturbative determination of the improvement coefficient of the axial current, $c_\mathrm A$, with three flavours of dynamical $\mathrm O(a)$ improved Wilson quarks and tree-level Symanzik improved gauge action.…

高能物理 - 格点 · 物理学 2013-12-13 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We investigate the chiral transition of $U(3)$ lattice gauge theory based on the strong coupling expansion. A generalized vertex model with vertices and weights derived from the tensor network approach of the dual representation of lattice…

高能物理 - 格点 · 物理学 2023-12-25 Jangho Kim , Pratitee Pattanaik , Wolfgang Unger

The set-up of the QCD Schr\"odinger functional (SF) on the lattice with staggered quarks requires an even number of points $L/a$ in the spatial directions, while the Euclidean time extent of the lattice, $T/a$, must be odd. Identifying a…

高能物理 - 格点 · 物理学 2012-01-19 Paula Pérez-Rubio , Stefan Sint , Shinji Takeda

We perform a lattice calculation of the Schr\"odinger functional running coupling in SU(2) Yang-Mills theory with six massless Wilson fermions in the fundamental representation. The aim of this work is to determine whether the above theory…

高能物理 - 格点 · 物理学 2013-01-18 Gennady Voronov

I examine some properties of the overlap operator in the Schroedinger functional formulated by Luescher at perturbative level. By investigating spectra of the free operator and one-loop coefficient of the Schroedinger functional coupling, I…

高能物理 - 格点 · 物理学 2010-01-21 Shinji Takeda

In this thesis, I use the strong coupling expansion to investigate the multiflavor lattice Schwinger models in the hamiltonian formalism using staggered fermions. In particular, I am interested in analysing the mapping of these gauge…

高能物理 - 理论 · 物理学 2007-05-23 Federico Berruto

We calculate the critical value of the hopping parameter, kappa_c, in Lattice QCD, up to two loops in perturbation theory. We employ the Sheikholeslami-Wohlert (clover) improved action for Wilson fermions and the Symanzik improved gluon…

高能物理 - 格点 · 物理学 2008-11-26 A. Skouroupathis , M. Constantinou , H. Panagopoulos

We have studied $O(a^2)$ improved lattice QCD with the staggered fermion by using Symanzik's program. We find that there are 5 dimension-6 fermion bilinears and gauge operators. In addition, there are 10 four-fermion operators which are…

高能物理 - 格点 · 物理学 2009-10-30 Yubing Luo

The strong-coupling character expansion of lattice models is reanalyzed in the perspective of its complete algorithmization. The geometric problem of identifying, counting, and grouping together all possible contributions is disentangled…

高能物理 - 格点 · 物理学 2009-10-28 Massimo Campostrini , Paolo Rossi , Ettore Vicari

Starting from the QCD Schroedinger functional (SF), we define a family of renormalization schemes for two four-quark operators, which are, in the chiral limit, protected against mixing with other operators. With the appropriate flavour…

高能物理 - 格点 · 物理学 2015-06-25 F. Palombi , C. Pena , S. Sint

We present an updated version of a QCD coupling which fulfills various physically motivated conditions: at high momenta it practically coincides with the perturbative QCD (pQCD) coupling; at intermediate momenta it reproduces correctly the…

高能物理 - 唯象学 · 物理学 2021-05-26 Gorazd Cvetic , Reinhart Kogerler