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Renormalized coupling constants g_{2k} that enter the critical equation of state and determine nonlinear susceptibilities of the system possess universal values g*_{2k} at the Curie point. They are calculated, along with the ratios R_{2k} =…

High Energy Physics - Theory · Physics 2017-04-06 M. A. Nikitina , A. I. Sokolov

We present a non-perturbative determination of the renormalization factor Z_S of the scalar density in quenched QCD with overlap fermions. Results are obtained at four values of the lattice spacing. By combining Z_S with results for the…

High Energy Physics - Lattice · Physics 2009-11-11 Jan Wennekers , Hartmut Wittig

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

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

Preliminary results on spectrum and decay constant of $B$ mesons from a quenched simulation at $\beta = 6.0$ on an $16^3\times48$ lattice are discussed. The heavy quark has been implemented using both an NRQCD and the static formulation,…

High Energy Physics - Lattice · Physics 2015-06-25 A. Ali Khan , S. Collins , C. T. H. Davies , D. Henty , J. Shigemitsu , J. Sloan

In Refs. [1,2] we determined the infinite volume coefficients of the perturbative expansions of the self-energies of static sources in the fundamental and adjoint representations in SU(3) gluodynamics to order $\alpha^{20}$. We used…

High Energy Physics - Lattice · Physics 2013-11-05 Gunnar S. Bali , Clemens Bauer , Antonio Pineda

Compact U(1) lattice gauge theory in (2+1) dimensions is studied on anisotropic lattices using Standard Path Integral Monte Carlo techniques. We extract the static quark potential and the string tension from 1.0 <= Dtau <= 0.333 simulations…

High Energy Physics - Lattice · Physics 2007-05-23 Mushtaq Loan , Michael Brunner , Chris Hamer

We have computed the decay constants for the $B$ and $D$ mesons, using quenched lattices at $\beta=6.3$, by interpolating between the static approximation of Eichten and the conventional (``heavy'' Wilson fermion) method. A more careful…

High Energy Physics - Lattice · Physics 2009-10-22 Claude Bernard , James Labrenz , Amarjit Soni

We propose a new renormalization scheme of the running coupling constant in general gauge theories using the Wilson loops. The renormalized coupling constant is obtained from the Creutz ratio in lattice simulations and the corresponding…

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…

High Energy Physics - Phenomenology · Physics 2020-03-31 Bernd A. Kniehl , Oleg L. Veretin

We present a perturbative calculation of the renormalization constants for the $\Delta B=2$ four-quark operators, which is needed to evaluate the bag parameters $B_B$ and $B_S$ in lattice QCD. The one-loop coefficients are calculated for…

High Energy Physics - Lattice · Physics 2009-10-31 S. Hashimoto , K-I. Ishikawa , T. Onogi , M. Sakamoto , N. Tsutsui , N. Yamada

We systematically examine various proposals which aim at increasing the accuracy in the determination of the renormalization of two-fermion lattice operators. We concentrate on three finite quantities which are particularly suitable for our…

High Energy Physics - Lattice · Physics 2011-09-13 M. Crisafulli , V. Lubicz , A. Vladikas

Renormalization factors for bilinear and four-quark operators with the Kogut-Susskind fermion action are perturbatively calculated to one-loop order in the general covariant gauge. Results are presented both for gauge invariant and…

High Energy Physics - Lattice · Physics 2009-10-22 N. Ishizuka , Y. Shizawa

We show that by combining the static heavy quark action with the Neuberger action for the light quark, the renormalisation of the heavy-light bilinear and four-quark operators, computed on the lattice, becomes highly simplified: all the…

High Energy Physics - Lattice · Physics 2009-11-10 Damir Becirevic , Juan Reyes

We propose using the method of subtraction to renormalize quantum gauge theories with chiral fermions and with spontaneous symmetry breaking. The Ward-Takahashi identities derived from the BRST invariance in these theories are complex and…

High Energy Physics - Theory · Physics 2008-02-03 Hung Cheng , S. P. Li

Non-perturbative renormalization factors of bilinear quark operators are computed for the Chirally Improved lattice action with two dynamic quarks. The analysis is based on five different parameter sets with lattice size 12^3 x 24 and four…

High Energy Physics - Lattice · Physics 2015-03-13 Philipp Huber

We give the analytical expressions and numerical values of radiative corrections to the covariant derivative operator on the static quark line, used for the lattice calculation of the Isgur-Wise form factors $\tau_{1/2}(1)$ and…

High Energy Physics - Lattice · Physics 2009-11-11 B. Blossier , A. Le Yaouanc , V. Morenas , O Pene

We present renormalization constants of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations. Both overlap and domain wall fermions have chiral symmetry on the lattice. The scale independent renormalization…

High Energy Physics - Lattice · Physics 2013-12-03 Zhaofeng Liu , Ying Chen , Yi-Bo Yang , Shao-Jing Dong , Michael Glatzmaier , Ming Gong , Keh-Fei Liu , Anyi Li , Jian-Bo Zhang

We show that the renormalization factor relating the renormalization group invariant quark masses to the bare quark masses computed in lattice QCD can be determined non-perturbatively. The calculation is based on an extension of a…

High Energy Physics - Lattice · Physics 2009-10-30 S. Capitani , M. Guagnelli , M. Luescher , S. Sint , R. Sommer , P. Weisz , H. Wittig

In this paper we present the perturbative computation of the renormalization functions for the quark field and for a complete set of ultra-local fermion bilinears. The computation of the relevant Green's functions was carried out at 1-loop…

High Energy Physics - Lattice · Physics 2013-09-04 M. Constantinou , M. Costa , H. Panagopoulos
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