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We investigate two-point correlation functions of left-handed currents computed in quenched lattice QCD with the Neuberger-Dirac operator. We consider two lattice spacings a~0.09,0.12 fm and two different lattice extents L~ 1.5, 2.0 fm;…

High Energy Physics - Lattice · Physics 2010-02-03 L. Giusti , P. Hernandez , S. Necco , C. Pena , J. Wennekers , H. Wittig

We compute the masses of the $\pi$ and of the $\rho$ mesons in the quenched approximation on a lattice with fixed lattice spacing $a \simeq 0.145 \ \mathrm{fm}$ for SU($N$) gauge theory with $N = 2,3,4,6$. We find that a simple linear…

High Energy Physics - Theory · Physics 2009-12-10 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica

It has been proposed that partially quenched chiral perturbation theory can be used together with partially quenched lattice QCD to determine the low-energy constants of real QCD. We point out a complication of this approach and show how it…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe , Ruth S. Van de Water

We explore the chiral aspects of extrapolation of observables calculated within lattice QCD, using the nucleon magnetic moments as an example. Our analysis shows that the biggest effects of chiral dynamics occur for quark masses…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. W. Thomas , D. B. Leinweber , D. H. Lu

We formulate quenched chiral perturbation theory for heavy-light mesons coupled to pions, and calculate the one-loop chiral logarithmic corrections to $f_B$, $f_{B_{s}}$, $B_B$ and $B_{B_{s}}$. We also calculate these corrections for…

High Energy Physics - Lattice · Physics 2009-10-28 Stephen R. Sharpe , Yan Zhang

Lattice QED2 with the Wilson formulation of fermions is used as a convenient model system to study artifacts of the quenched approximation on a finite lattice. The quenched functional integral is shown to be ill-defined in this system as a…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

Adding a gluino mass term to N=1 supersymmetric Yang-Mills theory breaks supersymmetry softly. In order to approach the supersymmetric continuum limit in numerical simulations with the Wilson action, the bare gluino mass has to be tuned to…

High Energy Physics - Lattice · Physics 2014-11-07 Gernot Münster , Hendrik Stüwe

The magnetic polarizability of the neutral pion has been calculated in the background magnetic-field formalism of Lattice QCD. In this investigation, the chiral extrapolation of these lattice results is considered in a formalism preserving…

Nuclear Theory · Physics 2021-01-04 Fangcheng He , D. B. Leinweber , A. W. Thomas , P. Wang

The background magnetic-field formalism of Lattice QCD has been used recently to calculate the magnetic polarizability of the charged pion. These $n_f = 2 + 1$ numerical simulations are electro-quenched, such that the virtual sea-quarks of…

Nuclear Theory · Physics 2021-09-22 Fangcheng He , D. B. Leinweber , A. W. Thomas , P. Wang

We develop quenched chiral perturbation theory for baryons using the graded-symmetry formalism of Bernard and Golterman and calculate non-analytic contributions to the baryon masses coming from quenched chiral loops. The usual term…

High Energy Physics - Lattice · Physics 2009-10-22 James N. Labrenz , Stephen R. Sharpe

By employing a framework for the quasi-two-body decays in the perturbative QCD (PQCD) factorization approach, we calculate the branching ratios of the decays $B_{(s)} \to D (\rho(1450),\rho(1700))\to D \pi \pi$ with $D=(D_{(s)},…

High Energy Physics - Phenomenology · Physics 2017-11-30 Ai-Jun Ma , Ya Li , Wen-Fei Wang , Zhen-Jun Xiao

We calculate the two-point massless QCD correlator of nonlocal (composite) vector quark currents with chains of fermion one-loop radiative corrections inserted into gluon lines. The correlator depends on the Bjorken fraction $x$ related to…

High Energy Physics - Phenomenology · Physics 2023-11-08 S. V. Mikhailov , N. Volchanskiy

A study of the chiral behavior of pseudoscalar masses and decay constants is carried out in quenched lattice QCD with Wilson fermions. Using the modified quenched approximation (MQA) to cure the exceptional configuration problem, accurate…

High Energy Physics - Lattice · Physics 2009-10-31 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

We calculate the lower moments of the deep-inelastic structure functions of the pion and the rho meson on the lattice. Of particular interest to us are the spin-dependent structure functions of the rho. The calculations are done with Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 C. Best , M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , A. Schäfer , G. Schierholz , A. Schiller , S. Schramm

We investigate the quark condensate of the QCD vacuum within the instanton vacuum model. We calculate the meson-loop contributions to the dynamical quark mass and quark condensate to ${\cal O}(1/N_c)$-, ${\cal O}(m/N_c)$-, and ${\cal…

High Energy Physics - Phenomenology · Physics 2009-11-11 Hyun-Chul Kim , M. M. Musakhanov , M. Siddikov

q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept ("strength") $\lambda^{(2)}\equiv C^{(2)}(K,K)-1$ of two-particle correlation function $C^{(2)}(p_1,p_2)$…

High Energy Physics - Phenomenology · Physics 2008-12-19 Alexandre M. Gavrilik

We study the non-forward matrix elements of twist-2 QCD light-ray operators and their representations in terms of skewed and double distributions, considering the pion as well as the nucleon. We point out the importance of explicitly…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. V. Polyakov , C. Weiss

The quarks in quenched QCD have an anomalous self-interaction in the flavor singlet Goldstone boson channel. This coupling is extracted from a graph with disconnected quark lines, and is used to infer the mass of the eta-prime meson in full…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas DeGrand , Urs M. Heller

Without chiral extrapolation, we achieved a realistic nucleon to (\rho)-meson mass ratio of (m_N/m_\rho = 1.23 \pm 0.04 ({\rm statistical}) \pm 0.02 ({\rm systematic})) in our quenched lattice QCD numerical calculation with staggered…

High Energy Physics - Lattice · Physics 2009-10-31 Seyong Kim , Shigemi Ohta

As a test of quenched lattice twisted mass QCD, we compute the non-perturbatively O($a$) improved pseudoscalar and vector meson masses and the pseudoscalar decay constant down to $M_{\rm PS}/M_{\rm V} = 0.467(13)$ at $\beta=6$ in large…

High Energy Physics - Lattice · Physics 2015-06-25 M. Della Morte , R. Frezzotti , J. Heitger