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We calculate the $O(a)$ improvement coefficient for the axial-vector current using the nonperturbative method proposed by the LANL group. Results for the coefficient in the range $\beta=5.93$ to 6.2 are presented. We find $c_A$ is close to…

高能物理 - 格点 · 物理学 2007-05-23 S. Collins , C. T. H. Davies , G. P. Lepage , J. Shigemitsu

Computing the gluon component of momentum in the nucleon is a difficult and computationally expensive problem, as the matrix element involves a quark-line-disconnected gluon operator which suffers from ultra-violet fluctuations. But also…

高能物理 - 格点 · 物理学 2020-01-22 R. Horsley , T. Howson , W. Kamleh , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

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

We study the effective potential for composite operators. Introducing a source coupled to the composite operator, we define the effective potential by a Legendre transformation. We find that in three or fewer dimensions, one can use the…

高能物理 - 唯象学 · 物理学 2009-10-28 Yue Hu

Covariant $R_\xi$ gauge fixing is notoriously difficult for large lattice volumes, large $\xi$ and small $N_c$. We thoroughly test different convergence techniques, which allows the gauge fixing of lattice configurations with a total volume…

高能物理 - 格点 · 物理学 2015-09-23 Pedro Bicudo , Daniele Binosi , Nuno Cardoso , Orlando Oliveira , Paulo J. Silva

We study the renormalization of four-quark operators in one-loop perturbation theory. We employ a coordinate-space Gauge-Invariant Renormalization Scheme (GIRS), which can be advantageous compared to other schemes, especially in…

高能物理 - 格点 · 物理学 2024-10-14 M. Constantinou , M. Costa , H. Herodotou , H. Panagopoulos , G. Spanoudes

The instrumental variable method is widely used in the health and social sciences for identification and estimation of causal effects in the presence of potentially unmeasured confounding. In order to improve efficiency, multiple…

统计方法学 · 统计学 2022-04-19 Baoluo Sun , Zhonghua Liu , Eric Tchetgen Tchetgen

We present renormalization factors for the bilinear operators obtained using the non-perturbative renormalization method (NPR) in the RI-MOM scheme with improved staggered fermions on the MILC asqtad lattices ($N_f = 2+1$). We use the MILC…

高能物理 - 格点 · 物理学 2013-10-17 Jangho Kim , Jongjeong Kim , Weonjong Lee , Boram Yoon

We introduce a new non-perturbative method to tune the parameters of the Columbia formulation of an anisotropic, clover-improved relativistic heavy-quark (RHQ) action. By making use of suitable observables which can be computed at a…

高能物理 - 格点 · 物理学 2021-12-01 Davide Giusti , Christoph Lehner

Within the framework of a manifestly gauge invariant exact renormalization group for SU(N) Yang-Mills, we derive a simple expression for the expectation value of an arbitrary gauge invariant operator. We illustrate the use of this formula…

高能物理 - 理论 · 物理学 2008-11-26 Oliver J. Rosten

The use of chirally rotated boundary conditions provides a formulation of the Schroedinger functional that is compatible with automatic O(a)-improvement of Wilson fermions in the bulk. The elimination of bulk O(a) terms requires the…

高能物理 - 格点 · 物理学 2010-01-26 Jenifer Gonzalez Lopez , Karl Jansen , Dru B. Renner , Andrea Shindler

Non-perturbative studies of quantum gravity have recently suggested the possibility that the strength of gravitational interactions might slowly increase with distance. Here a set of generally covariant effective field equations are…

高能物理 - 理论 · 物理学 2011-07-19 Herbert W. Hamber , Ruth M. Williams

We compute non-perturbative renormalization constants of fermionic bilinears for the chirally improved lattice fermions in the quenched approximation of QCD. We address finite size effects and the influence of Gribov copies. Our results are…

高能物理 - 格点 · 物理学 2014-11-17 Christof Gattringer , M. Göckeler , Philipp Huber , C. B. Lang

I consider the recent proposal by R. Frezzotti and G. Rossi to chirally improve Wilson fermions in such a way that mixings among operators of different chirality can be excluded. The method, which is based on the use of twisted mass QCD…

高能物理 - 格点 · 物理学 2009-11-10 Michele Della Morte

We extend an earlier study of the Landau gauge quark propagator in quenched QCD where we used two forms of the O(a)-improved propagator with the Sheikholeslami-Wohlert quark action. In the present study we use the nonperturbative value for…

高能物理 - 格点 · 物理学 2010-03-04 Jonivar Skullerud , Derek B. Leinweber , Anthony G. Williams

In the presence of a strong magnetic field, the effective action of a composite scalar field in an scalar O(N) model is derived using two different methods. First, in the framework of worldline formalism, the 1PI n-point vertex function for…

高能物理 - 理论 · 物理学 2008-11-26 Amir Jafari Salim , Neda Sadooghi

We present the current status of our computation of quark bilinear renormalization constants for Wilson fermions and Symanzik improved gauge action. Computations are performed in Numerical Stochastic Perturbation Theory. Volumes range from…

高能物理 - 格点 · 物理学 2010-02-03 M. Brambilla , F. Di Renzo , L. Scorzato

Principal component analysis (PCA) frequently suffers from the disturbance of outliers and thus a spectrum of robust extensions and variations of PCA have been developed. However, existing extensions of PCA treat all samples equally even…

机器学习 · 计算机科学 2021-03-23 Rui Zhang , Hongyuan Zhang , Xuelong Li

We outline two methods of constructing improved composite operators using Wilson fermions.

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

In constructing collinear operators, which describe the production of energetic jets or energetic hadrons, important constraints are provided by reparameterization invariance (RPI). RPI encodes Lorentz invariance in a power expansion about…

高能物理 - 唯象学 · 物理学 2009-11-06 Claudio Marcantonini , Iain W. Stewart