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A short survey of the renormalization problem in QCD and its non-perturbative solution by means of numerical simulations on the lattice is given. Most emphasis is on scale dependent renormalizations, which can be reliably addressed via a…

高能物理 - 唯象学 · 物理学 2007-05-23 Jochen Heitger

We present the results of an extensive non-perturbative calculation of the renormalization constants of bilinear quark operators for the non-perturbatively O(a)-improved Wilson action. The results are obtained at four values of the lattice…

高能物理 - 格点 · 物理学 2015-06-25 D. Becirevic , V. Gimenez , V. Lubicz , G. Martinelli , M. Papinutto , J. Reyes , C. Tarantino [SPQcdR Collaboration]

We study the chiral condensate, $<\bar\psi\psi>$, and various quark bilinear vertex functions for domain wall fermions at different lattice scales, with both the Wilson and DBW2 gauge actions, in both quenched and dynamical fermion…

高能物理 - 格点 · 物理学 2009-11-10 Azusa Yamaguchi

We summarize recent non-perturbative results obtained for the renormalization constants computed in the RI'-MOM scheme for $N_{\rm f}=2+1+1$ twisted mass QCD. Our implementation employs the Iwasaki gauge action and four dynamical degenerate…

We discuss the application of two-particle-irreducible (2PI) functional techniques to gauge theories, focusing on the issue of non-perturbative renormalization. In particular, we show how to renormalize the photon and fermion propagators of…

高能物理 - 理论 · 物理学 2010-02-03 Urko Reinosa , Julien Serreau

We present results on the renormalization functions of the quark field and fermion bilinears with up to one covariant derivative. For the fermion part of the action we employ the twisted mass formulation with $N_f{=}2$ and $N_f{=}4$…

高能物理 - 格点 · 物理学 2017-03-08 Constantia Alexandrou , Martha Constantinou , Haralambos Panagopoulos

We present an evaluation of the quark mass renormalization factor for Nf=2+1 QCD. The Schroedinger functional scheme is employed as the intermediate scheme to carry out non-perturbative running from the low energy region, where…

Nonperturbative approximation schemes based on two-particle irreducible (2PI) effective actions provide an important means for our current understanding of (non-)equilibrium quantum field theory. A remarkable property is their…

高能物理 - 唯象学 · 物理学 2009-11-11 Juergen Berges , Szabolcs Borsanyi , Urko Reinosa , Julien Serreau

We consider the renormalization of the three-quark operators without derivatives at next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the…

高能物理 - 唯象学 · 物理学 2023-06-14 Bernd A. Kniehl , Oleg L. Veretin

When several four-quark operators are allowed to mix through renormalisation, this can considerably amplify the problems coming from perturbative truncation and discretisation effects. In this work we investigate whether our previous $B_K$…

高能物理 - 格点 · 物理学 2015-11-02 Julien Frison , Peter Boyle , Nicolas Garron

We report on our studies of the renormalization of flavor singlet quark bilinear operators in lattice QCD. The renormalization constants are determined non-perturbatively using gauge field ensembles with Nf=2 dynamical clover improved…

高能物理 - 格点 · 物理学 2017-03-13 G. S. Bali , S. Collins , M. Göckeler , S. Piemonte , A. Sternbeck

The functional renormalisation group is applied to the effective action for scattering of two nonrelativistic fermions. The resulting physical effective action is shown to contain the correct threshold singularity. The corresponding "bare"…

核理论 · 物理学 2008-11-26 Michael C. Birse

Definition of Feynman integrals as solutions of some well defined systems of differential equations is proposed. This definition is equivalent to usual one but needs no regularization and application of $R$-operation. It is argued that…

高能物理 - 理论 · 物理学 2007-05-23 F. A. Lunev

The heavy quark effective field theory Lagrangian is renormalized to order 1/m^2. Our technique eliminates operators that vanish by the equation of motion by continuously redefining the heavy quark fields during renormalization. It is…

高能物理 - 唯象学 · 物理学 2009-10-28 Markus Finkemeier , Matt McIrvin

We have calculated continuum limit step scaling functions of bilinear and four-fermion operators renormalized in a Rome-Southampton scheme using various smearing prescriptions for the gauge field. Also, for the first time, we have…

高能物理 - 格点 · 物理学 2013-12-16 R. Arthur , P. A. Boyle , S. Hashimoto , R. Hudspith

We compute non--perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O_{LL}^{\Delta S=2}$ over a wide range of energy scales using a…

高能物理 - 格点 · 物理学 2007-05-23 Yuriy Zhestkov

On configurations with 2+1-flavor dynamical domain-wall fermions, we calculate the RI/(S)MOM renormalization constants (RC) of overlap quark bilinears. Hypercubic (HYP) smearing is used to construct the overlap Dirac operator. We…

高能物理 - 格点 · 物理学 2023-10-03 Yujiang Bi , Ying Chen , Ming Gong , Fangcheng He , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang , Dian-Jun Zhao

We present results of the wave function renormalization factor $Z_q$ and mass renormalization factor $Z_m$ obtained using non-perturbative renormalization (NPR) method in the RI-MOM scheme with HYP improved staggered quarks. We use fine…

高能物理 - 格点 · 物理学 2015-11-03 Hwancheol Jeong , Jangho Kim , Weonjong Lee , Jeonghwan Pak , Sungwoo Park

We have technically improved the non-perturbative renormalization method, proposed by Martinelli et al., by using quark momentum sources and sinks. Composite two-fermion operators up to three derivatives have been measured for Wilson…

高能物理 - 格点 · 物理学 2008-11-26 M. Goeckeler , R. Horsley , H. Oelrich , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We propose a novel renormalization scheme for the hadronic operators. The renormalization factor of the operator in this scheme is normalized by the correlation function at tree level in coordinate space. If we focus on the pseudo scalar…

高能物理 - 格点 · 物理学 2015-04-15 Etsuko Itou