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In order to obtain proper wave-function renormalization constants for unstable fermion and consist with Breit-Wigner formula in the resonant region, We have assumed an extension of the LSZ reduction formula for unstable fermion and adopted…

高能物理 - 唯象学 · 物理学 2008-11-26 Yong Zhou

We investigate the perturbative and nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields (quark-antiquark operators). These include operators which…

Using the overlap-Dirac operator proposed by Neuberger, we have computed in lattice QCD the one-loop renormalization factors of ten operators which measure the lowest two moments of unpolarized and polarized non-singlet quark distributions.…

高能物理 - 格点 · 物理学 2015-06-25 Stefano Capitani

We suggest a renewed view on non-renormalizable interactions treated perturbatively within a kinematically dependent renormalization procedure. It is based on the usual BPHZ R-operation which is equally applicable to any local QFT…

高能物理 - 理论 · 物理学 2018-10-10 Dmitry Kazakov

We present an update of our project of computing the meson spectrum and decay constants in large-N QCD. The results are obtained in the quenched approximation with the Wilson fermion action for N = 2, 3, 4, 5, 6, 7 and 17 and extrapolated…

高能物理 - 格点 · 物理学 2014-05-02 Gunnar S. Bali , Luca Castagnini , Biagio Lucini , Marco Panero

We carry out the non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory. At order 1/m of the expansion, the operator is responsible for the mass splitting between the pseudoscalar and vector B…

高能物理 - 格点 · 物理学 2009-04-21 Damiano Guazzini , Harvey B. Meyer , Rainer Sommer

We present a Monte Carlo method for computing the renormalized coupling constants and the critical exponents within renormalization theory. The scheme, which derives from a variational principle, overcomes critical slowing down, by means of…

统计力学 · 物理学 2017-12-06 Yantao Wu , Roberto Car

The chirally rotated Schr\"odinger functional ($\chi$SF) renders the mechanism of automatic $O(a)$ improvement compatible with Schr\"odinger functional (SF) renormalization schemes. Here we define a family of renormalization schemes based…

高能物理 - 格点 · 物理学 2016-05-31 Mattia Dalla Brida , Mauro Papinutto , Pol Vilaseca

We calculate non-perturbative renormalization factors at hadronic scale for $\Delta S=2$ four-quark operators in quenched domain-wall QCD using the Schr\"{o}dinger functional method. Combining them with the non-perturbative renormalization…

高能物理 - 格点 · 物理学 2019-08-14 Yousuke Nakamura , Sinya Aoki , Yusuke Taniguchi , Tomoteru Yoshié

The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level.…

高能物理 - 唯象学 · 物理学 2025-03-26 J. Borgulat , N. Felten , R. V. Harlander , J. T. Kohnen

We consider the renormalization of the matrix elements of the bilinear quark operators $\bar{\psi}\psi$, $\bar{\psi}\gamma_\mu\psi$, and $\bar{\psi}\sigma_{\mu\nu}\psi$ at next-to-next-to-next-to-leading order in QCD perturbation theory at…

高能物理 - 唯象学 · 物理学 2020-03-31 Bernd A. Kniehl , Oleg L. Veretin

We determine from first principles the quark mass anomalous dimension in Nf=3 QCD between the electroweak and hadronic scales. This allows for a fully non-perturbative connection of the perturbative and non-perturbative regimes of the…

高能物理 - 格点 · 物理学 2018-06-07 Isabel Campos , Patrick Fritzsch , Carlos Pena , David Preti , Alberto Ramos , Anastassios Vladikas

The matching between Schrodinger Functional renormalization schemes and conventional perturbative schemes is usually done using an intermediate lattice scheme. We propose to do the matching directly. This requires the perturbative…

高能物理 - 格点 · 物理学 2016-09-01 Eduardo Obeso

We use the scalar model with quartic interaction to illustrate how a nonperturbative variational technique combined with renormalization group (RG) properties efficiently resums perturbative expansions in thermal field theories. The…

高能物理 - 唯象学 · 物理学 2016-01-27 J. -L. Kneur , M. B. Pinto

We compute the renormalization functions on the lattice, in the RI' scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma= 1, \gamma_5, \gamma_\mu, \gamma_5\gamma_\mu, \gamma_5\sigma_{\mu\nu}$. This calculation is…

高能物理 - 格点 · 物理学 2010-02-19 A. Skouroupathis , H. Panagopoulos

We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three-…

高能物理 - 格点 · 物理学 2009-11-07 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

Using chiral Ward identities, we determine the renormalisation constants of bilinear quark operators for the Sheikholeslami-Wohlert action lattice at beta=6.2. The results are obtained with a high degree of accuracy. For the vector current…

高能物理 - 格点 · 物理学 2009-10-28 David Henty , Richard Kenway , Brian Pendleton , Jon Ivar Skullerud

The quantum action for a three-dimensional real sextic model using the background field method is considered. Four-loop renormalization of this model is performed with a cutoff regularization in the coordinate representation. The…

高能物理 - 理论 · 物理学 2025-04-11 N. V. Kharuk

Numerical Stochastic Perturbation Theory was able to get three- (and even four-) loop results for finite Lattice QCD renormalization constants. More recently, a conceptual and technical framework has been devised to tame finite size…

高能物理 - 格点 · 物理学 2015-06-17 Michele Brambilla , Francesco Di Renzo

We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization…

高能物理 - 格点 · 物理学 2010-10-27 Michele Della Morte , Patrick Fritzsch , Jochen Heitger