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Quark mass dependence of pseudoscalar masses and decay constants on a lattice

  • The qq+q Collaboration
  • F. Farchioni
  • I. Montvay
  • E. Scholz
theoretical physics

Abstract.

Our previous calculations of the sea- and valence-quark mass dependence of the pseudoscalar meson masses and decay constants is repeated on a \(16^3 \cdot 32\) lattice, which allows for a better determination of the quantities in question. The conclusions are similar as before on the 164 lattice [1]. The two light dynamical quark flavours we simulate have masses in the range m s /4 < m u,d < 2m s /3. The sea quark mass dependence of \(f_\pi\) and \(m_\pi^2/m_q\) is well described by the next-to-leading order (NLO) chiral perturbation theory (ChPT) formulas and clearly shows the presence of chiral logarithms. The valence quark mass dependence requires the presence of NNLO contributions in partially quenched ChPT (PQChPT)--in addition to the NLO terms. The \({\cal O}(a)\) lattice artifacts in these quantities turn out to be small.

Keywords

Decay Constant Chiral Perturbation Theory Mass Dependence Pseudoscalar Meson Valence Quark 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • The qq+q Collaboration
  • F. Farchioni
    • 1
  • I. Montvay
    • 2
  • E. Scholz
    • 2
  1. 1.Institut für Theoretische PhysikWestfälische Wilhelms-Universität MünsterMünsterGermany
  2. 2.Deutsches Elektronen-Synchrotron DESYHamburgGermany

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