Non-perturbative Renormalization for Improved Staggered Bilinears

Abstract

We apply non-perturbative renormalization to bilinears composed of improved staggered fermions. We explain how to generalize the method to staggered fermions in a way which is consistent with the lattice symmetries, and introduce a new type of lattice bilinear which transforms covariantly and avoids mixing. We derive the consequences of lattice symmetries for the propagator and vertices. We implement the method numerically for hypercubic-smeared (HYP) and asqtad valence fermion actions, using lattices with asqtad sea quarks generated by the MILC collaboration. We compare the non-perturbative results so obtained to those from perturbation theory, using both scale-independent ratios of bilinears (of which we calculate 26), and the scale-dependent bilinears themselves. Overall, we find that one-loop perturbation theory provides a successful description of the results for HYP-fermions if we allow for a truncation error of roughly the size of the square of the one-loop term (for ratios) or of size O(1) \times α^2 (for the bilinears themselves). Perturbation theory is, however, less successful at describing the non-perturbative asqtad results.

30 pages, 26 figures

References in corpus (6)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Scaling studies of QCD with the dynamical HISQ action
• $B_K$ using HYP-smeared staggered fermions in $N_f=2+1$ unquenched QCD
• Step Scaling with off-shell renormalisation
• One-loop matching of improved four-fermion staggered operators with an improved gluon action
• Non-Perturbative Renormalization for Staggered Fermions (Self-energy Analysis)

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