ep - l at / 0 10 80 21 v 2 1 2 N ov 2 00 1 The Critical Hopping Parameter in O ( a ) improved Lattice QCD
نویسندگان
چکیده
We calculate the critical value of the hopping parameter, κ c , in O(a) improved Lattice QCD, to two loops in perturbation theory. We employ the Sheikholeslami-Wohlert (clover) improved action for Wilson fermions. The quantity which we study is a typical case of a vacuum expectation value resulting in an additive renormalization; as such, it is characterized by a power (linear) divergence in the lattice spacing, and its calculation lies at the limits of applicability of perturbation theory. The dependence of our results on the number of colors N , the number of fermionic flavors N f , and the clover parameter c SW , is shown explicitly. We compare our results to non perturbative evaluations of κ c coming from Monte Carlo simulations.
منابع مشابه
ar X iv : h ep - l at / 0 41 10 36 v 1 2 5 N ov 2 00 4 Progress Towards finding Quark Masses and the QCD scale Λ from the Lattice
We discuss recent work trying to extract the renormalised quark masses and Λ, the QCD scale, from dynamical simulations in lattice gauge theory.
متن کاملar X iv : h ep - l at / 0 11 10 13 v 1 8 N ov 2 00 1 Study of 3 - flavor QCD Finite Temperature Phase Transition with Staggered Fermions ∗
We have studied the 3-flavor, finite temperature, QCD phase transition with staggred fermions on an Nt = 4 lattice. By studying a variety of quark masses we have located the critical point, mc, where the first order 3-flavor transition ends as lying in the region 0.32 ≤ mc ≤ 0.35 in lattice units.
متن کاملar X iv : h ep - l at / 0 11 10 01 v 1 2 N ov 2 00 1 1 LA - UR - 01 - 5861 Scaling behavior of improvement and renormalization constants ∗
This talk summarizes results for all the scale independent renormalization constants for bilinear currents (ZA, ZV , and ZS/ZP ), the improvement constants (cA, cV , and cT ), the quark mass dependence of ZO , and the coefficients of the equation of motion operators for O(a) improved lattice QCD. Using data at β = 6.0, 6.2 and 6.4 we study the scaling behavior of these quantities and quantify r...
متن کاملar X iv : h ep - l at / 0 60 80 21 v 1 2 8 A ug 2 00 6 The pion form factor from lattice QCD with two dynamical flavours
We compute the electromagnetic form factor of the pion using non-perturbatively O(a) improved Wilson fermions. The calculations are done for pion masses down to 400 MeV and for lattice spacings of 0.07 – 0.11 fm. We check for finite size effects by repeating some of the measurements on smaller lattices. The large number of lattice parameters we use allows us to extrapolate to the physical point...
متن کاملar X iv : h ep - l at / 0 21 10 09 v 1 5 N ov 2
I review recent progress and results in lattice QCD obtained using fermions with exact chiral symmetry.
متن کامل