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Operator product expansion and quark condensate from lattice QCD in coordinate space

  • theoretical physics
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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.

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Authors and Affiliations

  1. Departament de Fisica Teórica and IFIC, Univ. de Valéncia, Dr. Moliner 50, 46100, Burjassot, Valéncia, Spain

    V. Gimenez

  2. Dipartimento di Fisica, Univ. di Roma Tre, Via della Vasca Navale 84, 00146, Rome, Italy

    V. Lubicz, F. Mescia & V. Porretti

  3. INFN, Sezione di Roma III, Via della Vasca Navale 84, 00146, Rome, Italy

    V. Lubicz & V. Porretti

  4. INFN, Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044, Frascati, Italy

    F. Mescia

  5. Dipartimento di Fisica, Univ. di Roma “La Sapienza”, P.le A. Moro 2, 00185, Rome, Italy

    J. Reyes

Authors
  1. V. Gimenez
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  2. V. Lubicz
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  3. F. Mescia
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  4. V. Porretti
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Additional information

Received: 8 March 2005, Revised: 15 April 2005, Published online: 18 May 2005

PACS:

11.15.Ha, 11.30.Rd, 12.38.-t, 12.38.Gc

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Gimenez, V., Lubicz, V., Mescia, F. et al. Operator product expansion and quark condensate from lattice QCD in coordinate space. Eur. Phys. J. C 41, 535–544 (2005). https://doi.org/10.1140/epjc/s2005-02250-9

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  • DOI: https://doi.org/10.1140/epjc/s2005-02250-9

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