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Related papers: Determining gA using non-perturbatively O(a) impro…

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Perturbative and non-perturbative results on the renormalization constants of the fermion field and the twist-2 fermion bilinears are presented with emphasis on the non-perturbative evaluation of the one-derivative twist-2 vector and axial…

High Energy Physics - Lattice · Physics 2011-04-01 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for an RG-improved gauge action and a tadpole-improved clover quark action using the Schr\"odinger functional…

High Energy Physics - Lattice · Physics 2012-08-27 PACS Collaboration , K. Ide , S. Aoki , M. Fukugita , N. Ishizuka , Y. Iwasaki , K. Kanaya , T. Kaneko , Y. Kuramashi , V. Lesk , M. Okawa , Y. Taniguchi , A. Ukawa , T. Yoshié

We extend the application of axial Ward identities to calculate $b_A, b_P$ and $b_T$, coefficients that give the mass dependence of the renormalization constants of the corresponding bilinear operators in the quenched theory. The extension…

High Energy Physics - Lattice · Physics 2014-11-17 Tanmoy Bhattacharya , Shailesh Chandrasekharan , Rajan Gupta , Weonjong Lee , Stephen Sharpe

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass, leaving only errors of $O(a^2)$. The method exploits the…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We compute non-perturbatively the renormalization constants of composite operators on a quenched $16^3 \times 28 $ lattice with lattice spacing $a$ = 0.20 fm for the overlap fermion by using the regularization independent (RI) scheme. The…

High Energy Physics - Lattice · Physics 2016-08-16 J. B. Zhang , N. Mathur , S. J. Dong , T. Draper , I. Horváth , F. X. Lee , D. B. Leinweber , K. F. Liu , A. G. Williams

Renormalization constants ($Z$-factors) of vector and axial-vector currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

Lattice gauge theories with Wilson fermions break chiral symmetry. In the U(1) axial vector current this manifests itself in the anomaly. On the other hand it is generally expected that the axial vector flavour mixing current is…

High Energy Physics - Lattice · Physics 2009-10-31 T. Reisz , H. J. Rothe

We compute non-perturbatively the renormalisation constants of composite operators on a $16^3 \times 32 $ lattice with lattice spacing $a$ = 0.093 fm for the overlap fermion action by using the regularisation independent (RI) scheme. The…

High Energy Physics - Lattice · Physics 2010-03-04 J. B. Zhang , D. B. Leinweber , K. F. Liu , A. G. Williams

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass. It requires off-shell improvement of quark fields and…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We present a new normalization condition for the axial current, which is derived from the PCAC relation with non-vanishing mass. Using this condition reduces the O(r_0 m) corrections to the axial current normalization constant Z_A for an…

High Energy Physics - Lattice · Physics 2009-11-10 R. Hoffmann , F. Knechtli , J. Rolf , R. Sommer , U. Wolff

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

The coefficients multiplying the counterterms required for O($a$) improvement of the action and the isovector axial current in lattice QCD are computed non-perturbatively, in the quenched approximation and for bare gauge couplings $g_0$ in…

High Energy Physics - Lattice · Physics 2016-09-01 Martin Luescher , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

Due to improvements in computer performance and algorithms, the rapidly increasing cost for unquenched Wilson-type fermions with lighter quarks has been ameliorated and new simulations are now possible. Here we present results using two…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , G. Schierholz , W. Schroers , T. Streuer , H. Stüben , J. M. Zanotti

We present a 1-loop perturbative calculation of the fermion propagator, up to O(a^2) (a: lattice spacing). The fermions are described by Wilson, clover and twisted-mass actions; for gluons we use Symanzik improved actions (Plaquette,…

High Energy Physics - Lattice · Physics 2010-11-05 Martha Constantinou , Haralambos Panagopoulos , Fotos Stylianou

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…

High Energy Physics - Lattice · Physics 2010-01-26 Jenifer Gonzalez Lopez , Karl Jansen , Dru B. Renner , Andrea Shindler

Using the O(a) Symanzik improved action an estimate is given for the strange quark mass for unquenched (nf=2) QCD. The determination is via the axial Ward identity (AWI) and includes a non-perturbative evaluation of the renormalisation…

High Energy Physics - Lattice · Physics 2016-09-01 M. Göckeler , R. Horsley , A. C. Irving , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben , J. M. Zanotti

We extend the application of vector and axial Ward identities to calculate $b_A$, $b_P$ and $b_T$, coefficients that give the mass dependence of the renormalization constants of the corresponding bilinear operators in the quenched theory.…

High Energy Physics - Lattice · Physics 2010-05-27 T. Bhattacharya , S. Chandrasekharan , R. Gupta , W. Lee , S. Sharpe

We present a scaling study of lattice QCD with O(a) improved Wilson fermions and a chirally twisted mass term. In order to get precise results with a moderate computational effort, we have considered a system of physical size of 0.75^3 *…

High Energy Physics - Lattice · Physics 2009-10-31 M. Della Morte , R. Frezzotti , J. Heitger , S. Sint

In this paper we present an improved RI-type prescription appropriate for the non-perturbative renormalization of gauge invariant nonlocal operators. In this prescription, the non-perturbative vertex function is improved by subtracting…

High Energy Physics - Lattice · Physics 2023-01-18 Martha Constantinou , Haralambos Panagopoulos

We present results for the non-perturbative determination of the improvement and renormalization factors of the isovector axial current for lattice QCD with two flavors of dynamical Wilson quarks. The improvement and normalization…

High Energy Physics - Lattice · Physics 2007-05-23 Roland Hoffmann , Michele Della Morte , Francesco Knechtli , Rainer Sommer , Ulli Wolff