Λ-parameter of lattice QCD with Symanzik improved gluon actions
Date
2007ISSN
1550-7998Source
Physical Review D - Particles, Fields, Gravitation and CosmologyVolume
76Issue
11Google Scholar check
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We compute the ratio ΛL/ΛMS̄, where the scale parameter ΛL is associated with a lattice formulation of QCD. We consider a 3-parameter family of gluon actions, which are most frequently used for O(a) improvement à la Symanzik. The gluon action is put together with standard discretizations for fermions (Wilson/clover, overlap), to provide ΛL for several possible combinations of fermion and gluon actions. We employ the background field technique in order to calculate the 1PI 2-point function of the background field this leads to the coupling constant renormalization function, Zg, at 1-loop level. Our results are obtained for an extensive range of values for the Symanzik coefficients. © 2007 The American Physical Society.