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Operator product expansion and quark condensate from lattice QCD in coordinate space
Authors:V Gimenez  V Lubicz  F Mescia  V Porretti  J Reyes
Institution:(1) Departament de Fisica Teórica and IFIC, Univ. de Valéncia, Dr. Moliner 50, 46100 Burjassot, Valéncia, Spain;(2) Dipartimento di Fisica, Univ. di Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy;(3) INFN, Sezione di Roma III, Via della Vasca Navale 84, 00146 Rome, Italy;(4) INFN, Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, Italy;(5) Dipartimento di Fisica, Univ. di Roma “La Sapienza”, P.le A. Moro 2, 00185 Rome, Italy
Abstract: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 leading contribution in the chiral limit. From this study we obtain $
{\left\langle {\bar{q}q} \right\rangle }^{{\overline{{{\text{MS}}}} }} {\left( {2{\text{GeV}}} \right)} =  - {\left( {265 \pm 5 \pm 22{\text{MeV}}} \right)}^{3} 
$ , in good agreement with determinations of this quantity based on different approaches. The simulation is performed by using the ${\cal O}(a)$ -improved Wilson action at $\beta = 6.45$ on a volume 323 × 70 in the quenched approximation.Received: 8 March 2005, Revised: 15 April 2005, Published online: 18 May 2005PACS: 11.15.Ha, 11.30.Rd, 12.38.-t, 12.38.Gc
Keywords:
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