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Critical hopping parameter inO(a)<mml:mn/>improved lattice QCD

2001/08/31 by H. Panagopoulos, Y. Proestos, Yiannis Proestos · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.65.014511

published as Phys.Rev. D65 (2002) 014511 · 11 pages, 2 EPS figures. The only change with respect to the original version is inclusion of the standard formulae for the gauge fixing and ghost parts of the action. Accepted for publication in Physical Review D

arxiv created 2001/11/12 · openalex publication_date 2001/12/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We calculate the critical value of the hopping parameter, \ensuremathκc, 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, Nf, and the clover parameter cSW is shown explicitly. We compare our results with nonperturbative evaluations of \ensuremathκc coming from Monte Carlo simulations.

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