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Related papers: $\chi$SF near the electroweak scale

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Using non-perturbative techniques we have found the renormalisation factor, Z, in the RI-MOM scheme for quark bilinear operators in quenched QCD. We worked with overlap fermions using the Luescher-Weisz gauge action. Our calculation was…

High Energy Physics - Lattice · Physics 2016-09-01 M. Gürtler , R. Horsley , P. E. L. Rakow , C. J. Roberts , G. Schierholz , T. Streuer

We formulate and numerically test the Schr\"odinger functional scheme for domain-wall QCD. We then apply it to a non-perturbative calculation of the renormalization factors for vector and axial-vector currents in quenched domain-wall QCD…

We introduce an efficient and numerically stable method for calculating linear response functions $\chi(\vec{q},\omega)$ of quantum systems at finite temperatures. The method is a combination of numerical solution of the time-dependent…

Statistical Mechanics · Physics 2009-11-07 Toshiaki Iitaka , Toshikazu Ebisuzaki

We present perturbative and non-perturbative results on the renormalization constants of the local and one-derivative vector and axial vector operators. Non-perturbative results are obtained using the twistedmassWilson fermion formulation…

High Energy Physics - Lattice · Physics 2010-12-15 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

We define, within the Schr\"odinger functional (SF) scheme, the matrix elements of the twist-2 operators corresponding to the first two moments of non-singlet parton density, and the first moment of singlet parton densities. We perform a…

High Energy Physics - Lattice · Physics 2015-06-25 Andrea Shindler

The running of renormalized quark masses is computed in lattice QCD with two flavors of massless O(a) improved Wilson quarks. The regularization and flavor independent factor that relates running quark masses to the renormalization group…

High Energy Physics - Lattice · Physics 2009-11-11 Michele Della Morte , Roland Hoffmann , Francesco Knechtli , Juri Rolf , Rainer Sommer , Ines Wetzorke , Ulli Wolff

Using the non-perturbative renormalization technique, we calculate the renormalization factors for quark bilinear operators made of overlap fermions on the lattice. The background gauge field is generated by the JLQCD and TWQCD…

High Energy Physics - Lattice · Physics 2010-04-06 J. Noaki , T. W. Chiu , H. Fukaya , S. Hashimoto , H. Matsufuru , T. Onogi , E. Shintani , N. Yamada

The Schr\"odinger Functional (quantum/lattice field theory with Dirichlet boundary conditions) is a powerful tool in the non-perturbative improvement and for the study of other aspects of lattice QCD. Here we adapt it to improved gluon and…

High Energy Physics - Lattice · Physics 2009-10-30 T. R. Klassen

We present a calculation of the renormalization coefficients of the quark bilinear operators and the K-Kbar mixing parameter B_K. The coefficients relating the bare lattice operators to those in the RI/MOM scheme are computed…

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

We calculate the mass dependent renormalization factors of heavy-light bilinears at one-loop order of perturbation theory, when the heavy quark is treated with the Fermilab formalism. We present numerical results for the Wilson and…

High Energy Physics - Lattice · Physics 2015-06-25 J. Harada , S. Hashimoto , K. -I. Ishikawa , A. S. Kronfeld , T. Onogi , N. Yamada

Using the Schr\"odinger functional we have computed a variety of renormalized on-shell correlation functions to one-loop order of perturbation theory. By studying their approach to the continuum limit we have determined the O($a$)…

High Energy Physics - Lattice · Physics 2009-10-30 Stefan Sint , Peter Weisz

We calculate the renormalization constants (RCs) of vector, axial, vector scalar, pseudoscalar and tensor quark operators of the overlap valence fermion, on the 11 gauge ensembles with dynamical fermion using either Domain wall…

High Energy Physics - Lattice · Physics 2021-12-08 Fangcheng He , Yi-Bo Yang

We consider the Schr\"odinger functional with staggered one-component fermions on a fine lattice of size $(L/a)^3 \times (T/a)$ where $T/a$ must be an odd number. In order to reconstruct the four-component spinors, two different set-ups are…

High Energy Physics - Lattice · Physics 2010-01-21 P. Perez-Rubio , S. Sint

Minimally doubled fermions have been proposed as a cost-effective realization of chiral symmetry at non-zero lattice spacing. Using lattice perturbation theory at one loop, we study their renormalization properties. Specifically, we…

High Energy Physics - Lattice · Physics 2015-05-13 Stefano Capitani , Johannes Weber , Hartmut Wittig

Finite volume renormalization scheme is one of the most fascinating scheme for non-perturbative renormalization on lattice. By using the step scaling function one can follow running of renormalized quantities with reasonable cost. It has…

High Energy Physics - Lattice · Physics 2016-09-01 Yusuke Taniguchi

We non-perturbatively determine the renormalization constant and the improvement coefficients relating the renormalized current and subtracted quark mass in O(a) improved two-flavour lattice QCD. We employ the Schr\"odinger functional…

High Energy Physics - Lattice · Physics 2010-10-06 Patrick Fritzsch , Jochen Heitger , Nazario Tantalo

The Schr\"odinger functional (SF) is a powerful and widely used tool for the treatment of a variety of problems in renormalization and related areas. Albeit offering many conceptual advantages, one major downside of the SF scheme is the…

High Energy Physics - Lattice · Physics 2013-11-06 Michele Brambilla , Mattia Dalla Brida , Francesco Di Renzo , Dirk Hesse , Stefan Sint

We report on non-perturbative computations of the improvement coefficient c_V and the renormalization factor Z_V of the vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Jochen Heitger , Fabian Joswig , Anastassios Vladikas , Christian Wittemeier

We study the chiral Gross-Neveu model with Wilson fermions. In the framework of the Schroedinger functional we show that in general not only the bare mass has to be tuned to achieve chiral symmetry in the continuum, but also coupling…

High Energy Physics - Lattice · Physics 2016-09-01 Bjorn Leder , Tomasz Korzec
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