A Determination of the Lambda parameter from full lattice QCD

Feb, 2005
25 pages
Published in:
  • Phys.Rev.D 73 (2006) 014513
e-Print:
Report number:
  • DESY-05-028,
  • EDINBURGH-2005-02,
  • LTH-647,
  • LU-ITP-2005-012

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Abstract:
We present a determination of the QCD parameter Lambda in the quenched approximation (n_f=0) and for two flavours (n_f=2) of light dynamical quarks. The calculations are performed on the lattice using O(a) improved Wilson fermions and include taking the continuum limit. We find Lambda_{n_f=0} = 259(1)(20) MeV and Lambda_{n_f=2} = 261(17)(26) MeV}, using r_0 = 0.467 fm to set the scale. Extrapolating our results to five flavours, we obtain for the running coupling constant at the mass of the Z boson alpha_s(m_Z) = 0.112(1)(2). All numbers refer to the MSbar scheme.
  • 12.38.Gc
  • 11.15.Ha
  • fermion: lattice field theory
  • gauge field theory: SU(3)
  • approximation: quenching
  • flavor: 2
  • Lambda parameter
  • continuum limit
  • coupling constant: strong interaction
  • renormalization: beta function