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We perform an exploratory study of the operator product expansion of the quark propagator on the lattice at short distance in coordinate space. This permits a simple determination of the quark condensate, <qq>^MS(2 GeV)=(-265\pm 5\pm 22…

High Energy Physics - Lattice · Physics 2007-05-23 V. Gimenez , V. Lubicz , F. Mescia , V. Porretti , J. Reyes

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 determine the chiral condensate from simulations of quenched lattice QCD with Wilson fermions. Our measurements have been obtained with high statistics at three values of the gauge coupling, corresponding to UV cutoffs in the range 2 - 4…

High Energy Physics - Lattice · Physics 2009-10-31 L. Giusti , F. Rapuano , M. Talevi , A. Vladikas

We calculate the chiral condensate of QCD with 2, 2+1 and 3 flavors of sea quarks. Lattice QCD simulations are performed employing dynamical overlap fermions with up and down quark masses covering a range between 3 and 100 MeV. On L ~…

High Energy Physics - Lattice · Physics 2015-03-17 H. Fukaya , S. Aoki , T. W. Chiu , S. Hashimoto , T. Kaneko , J. Noaki , T. Onogi , N. Yamada

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 perform a precise calculation of the chiral condensate in QCD using lattice QCD with 2+1 flavors of dynamical overlap quarks. Up and down quark masses cover a range between 3 and 100 MeV on a 16^3x48 lattice at a lattice spacing around…

High Energy Physics - Lattice · Physics 2010-10-27 The JLQCD collaboration , H. Fukaya , S. Aoki , S. Hashimoto , T. Kaneko , J. Noaki , T. Onogi , N. Yamada

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

We report on our ongoing project of determining the chiral condensate of two-flavor QCD from the Banks-Casher relation. We compute the mode number of the O(a)-improved Wilson-Dirac operator for several values of \Lambda, and we discuss…

High Energy Physics - Lattice · Physics 2013-09-19 Georg P. Engel , Leonardo Giusti , Stefano Lottini , Rainer Sommer

We determine the value of the quark condensate from quenched QCD simulations on the lattice in two ways: (i) by using the GMOR formula; (ii) by comparing the OPE prediction for the Goldstone pole contribution to the pseudoscalar vertex, at…

High Energy Physics - Phenomenology · Physics 2009-11-10 Damir Becirevic , Vittorio Lubicz

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

Exploiting the Banks-Casher relation, we present a direct determination of the chiral condensate in two-flavor QCD, computing the mode number of the O(a)-improved Wilson-Dirac operator below various cutoffs. We make use of…

High Energy Physics - Lattice · Physics 2014-12-04 Georg P. Engel

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

We apply the probability distribution function method to the study of chiral properties of QCD with quarks in the exact massless limit. A relation among the chiral condensate, zeros of the Bessel function and eigenvalue of Dirac operator is…

High Energy Physics - Lattice · Physics 2009-10-02 Xiang-Qian Luo

We simulate quenched QCD with the overlap Dirac operator. We work with the Wilson gauge action at beta=6 on an 18^3x64 lattice. We calculate quark propagators for a single source point and quark mass ranging from am_q=0.03 to 0.75. We…

High Energy Physics - Lattice · Physics 2009-11-10 Federico Berruto , Nicolas Garron , Christian Hoelbling , Laurent Lellouch , Claudio Rebbi , Noam Shoresh

We determine several quantities in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at $ \beta = 6.0 $ on the $ 16^3 \times 32 $ lattice, we compute quenched quark propagators…

High Energy Physics - Lattice · Physics 2008-11-26 Ting-Wai Chiu , Tung-Han Hsieh

We study the quark-gluon mixed condensate g<\bar{q} sigma G q>, which is another chiral order parameter, using the SU(3)c lattice QCD with the Kogut-Susskind(KS) fermion at the quenched level. We generate 100 gauge configurations on the…

High Energy Physics - Lattice · Physics 2017-08-23 Takumi Doi , Noriyoshi Ishii , Makoto Oka , Hideo Suganuma

We compute the large-$N$ limit of the QCD chiral condensate on the lattice using twisted reduced models, and performing controlled continuum and chiral extrapolations. We perform two different calculations: one consists in extracting the…

We compute the chiral condensate of $2+1$ QCD from the mode number of the staggered Dirac operator, performing controlled extrapolations to both the continuum and the chiral limit. We consider also alternative strategies, based on the quark…

High Energy Physics - Lattice · Physics 2023-10-18 Claudio Bonanno , Francesco D'Angelo , Massimo D'Elia

It has recently been suggested \cite{Chang:2006bm} that a reliable and unambiguous definition of the non-perturbative massive quark condensate could be provided by considering a non positive-definite class of solutions to the Schwinger…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Williams , C. S. Fischer , M. R. Pennington

We study the quark-gluon mixed condensate g<\bar{q} sigma G q>, using the SU(3)c lattice QCD with the Kogut-Susskind fermion at the quenched level. We generate 100 gauge configurations on the 16^4 lattice with \beta = 6.0, and perform the…

High Energy Physics - Lattice · Physics 2009-11-10 Takumi Doi , Noriyoshi Ishii , Makoto Oka , Hideo Suganuma
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