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We present a Lattice QCD determination of the chiral quark condensate based on a new method. We extract the quark condensate from the operator product expansion of the quark propagator at short euclidean distances, where it represents the…

High Energy Physics - Lattice · Physics 2011-09-13 V. Gimenez , V. Lubicz , F. Mescia , V. Porretti , J. Reyes

We derive the Operator Product Expansion whose vacuum expectation value gives the time-moments of the pseudoscalar heavy-light current-current correlator up to and including terms in $\alpha_s^2$ multiplying…

High Energy Physics - Lattice · Physics 2019-08-14 C. T. H. Davies , K. Hornbostel , J. Komijani , J. Koponen , G. P. Lepage , A. T. Lytle , C. McNeile

We determine the strange quark condensate from lattice QCD for the first time and compare its value to that of the light quark and chiral condensates. The results come from a direct calculation of the expectation value of the trace of the…

High Energy Physics - Lattice · Physics 2013-03-14 C. McNeile , A. Bazavov , C. T. H. Davies , R. J. Dowdall , K. Hornbostel , G. P. Lepage , H. D. Trottier

In this work, we report about the determination of nonperturbative OPE parameters from fits of continuum perturbation theory to the Landau gauge quark propagator. The propagators are computed numerically using lattice QCD with Nf=2…

High Energy Physics - Lattice · Physics 2013-06-03 Florian Burger , Vittorio Lubicz , Michael Müller-Preussker , Silvano Simula , Carsten Urbach

We study the operator product expansion of the plaquette (gluon condensate) and the self-energy of an infinitely heavy quark. We first compute their perturbative expansions to order $\alpha^{35}$ and $\alpha^{20}$, respectively, in the…

High Energy Physics - Phenomenology · Physics 2016-02-17 Gunnar S. Bali , Antonio Pineda

A continuum expression for the trace of the massive dressed-quark propagator is used to explicate a connection between the infrared limit of the QCD Dirac operator's spectrum and the quark condensate appearing in the operator product…

Nuclear Theory · Physics 2010-03-04 K. Langfeld , R. Pullirsch , H. Markum , C. D. Roberts , S. M. Schmidt

From the overlap lattice quark propagator calculated in the Landau gauge, we determine the quark chiral condensate by fitting operator product expansion formulas to the lattice data. The quark propagators are computed on domain wall fermion…

High Energy Physics - Lattice · Physics 2017-10-25 Chao Wang , Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Zhaofeng Liu

We analyze the static QCD potential V_QCD(r) in the distance region 0.1 fm < r < 1 fm using perturbative QCD and OPE as basic theoretical tools. We assemble theoretical developments up to date and perform a solid and accurate analysis. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Sumino

We study the scaling behavior of the quark propagator on two lattices with similar physical volume in Landau gauge with 2+1 flavors of dynamical quarks in order to test whether we are close to the continuum limit for these lattices. We use…

High Energy Physics - Lattice · Physics 2010-03-04 Maria B. Parappilly , Patrick O. Bowman , Urs M. Heller , Derek B . Leinweber , Anthony G. Williams , J. B Zhang

We present results concerning the non-perturbative evaluation of the renormalisation constant for the quark field, $Z_q$, from lattice simulations with twisted mass quarks and three values of the lattice spacing. We use the RI'-MOM scheme.…

High Energy Physics - Phenomenology · Physics 2011-05-05 B. Blossier , Ph. Boucaud , M. Brinet , F. De Soto , Z. Liu , V. Morenas , O. Pène , K. Petrov , J. Rodríguez-Quintero

We analyze the static QCD potential in the distance region 0.1 fm < r < 1 fm. We combine most recent lattice computations and perturbative computations of the potential, in the framework of operator-product expansion (OPE). We determine…

High Energy Physics - Lattice · Physics 2007-05-23 Y. Sumino

We determine the strong coupling constant $\alpha_s(M_Z)$ from the static QCD potential by matching a lattice result and a theoretical calculation. We use a new theoretical framework based on operator product expansion (OPE), where…

High Energy Physics - Phenomenology · Physics 2019-05-24 Hiromasa Takaura , Takashi Kaneko , Yuichiro Kiyo , Yukinari Sumino

We consider the short-distance behaviour of the product of the Noether O(N) currents in the lattice nonlinear sigma-model. We compare the numerical results with the predictions of the operator product expansion, using one-loop perturbative…

High Energy Physics - Lattice · Physics 2014-11-17 Sergio Caracciolo , Andrea Montanari , Andrea Pelissetto

We compute the condensate in QCD with a single quark flavor using numerical simulations with the overlap formulation of lattice fermions. The condensate is extracted by fitting the distribution of low lying eigenvalues of the Dirac operator…

High Energy Physics - Theory · Physics 2009-11-11 Thomas DeGrand , Roland Hoffmann , Stefan Schaefer , Zhaofeng Liu

Quark propagators of the unquenched Kogut-Susskind(KS) fermion obtained from the gauge configurations of the MILC collaboration are measured after Landau gauge fixing and using the Staple+Naik action. Presence of the $\bar q q$ condensates…

High Energy Physics - Lattice · Physics 2009-11-11 Sadataka Furui , Hideo Nakajima

Recent data of lattice measurements of the gauge-invariant nonlocal scalar quark condensates are analyzed to extract the short--distance correlation length, 1/\lambda_q, and to construct an admissible Ansatz for the condensate behaviour in…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. P. Bakulev , S. V. Mikhailov

We perform the QCD testing of the Quasilocal Quark Model (QQM) based on Operator Product Expansion (OPE). The quark current correlators calculated in framework of the model, are compared to their OPE in QCD at intermediate energies. The QQM…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov , S. S. Afonin

Local quark-hadron duality violations in conventional applications of the operator product expansion are proposed to have their origin in the fact that the QCD vacuum or a hadronic state is not only characterized by nonvanishing expectation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ralf Hofmann

We review the status of the practical operator product expansion (OPE), when applied to two-point correlators of QCD currents which interpolate to mesonic resonances, in view of the violations of local quark-hadron duality. Covered topics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Hofmann

The properties of the momentum space quark propagator in Landau gauge are examined for the overlap quark action in quenched lattice QCD. Numerical calculations are done on three lattices with different lattice spacings and similar physical…

High Energy Physics - Lattice · Physics 2016-09-01 J. B. Zhang , F. D. R. Bonnet , P. O. Bowman , D. B. Leinwebwer , A. G. Williams
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