A novel approach to nonperturbative renormalization of singlet and nonsinglet lattice operators

Abstract

A novel method for nonperturbative renormalization of lattice operators is introduced, which lends itself to the calculation of renormalization factors for nonsinglet as well as singlet operators. The method is based on the Feynman-Hellmann relation, and involves computing two-point correlators in the presence of generalized background fields arising from introducing additional operators into the action. As a first application, and test of the method, we compute the renormalization factors of the axial vector current $A_{\mu }$ and the scalar density $S$ for both nonsinglet and singlet operators for $N_f=3$ flavors of SLiNC fermions. For nonsinglet operators, where a meaningful comparison is possible, perfect agreement with recent calculations using standard three-point function techniques is found.

15 pages, 8 figures

References in corpus (4)

• Non-perturbative improvement of stout-smeared three flavour clover fermions
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• A Feynman-Hellmann approach to the spin structure of hadrons
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions

Cited by in corpus (7)

• Lattice QCD evaluation of the Compton amplitude employing the Feynman-Hellmann theorem
• Singlet vs Nonsinglet Perturbative Renormalization of Fermion Bilinears
• Generalised parton distributions from the off-forward Compton amplitude in lattice QCD
• Constraining beyond the Standard Model nucleon isovector charges
• Symmetric point flavour singlet axial vector current renormalization at two loops
• Non-perturbative renormalization of flavor singlet quark bilinear operators in lattice QCD
• Connected and disconnected quark contributions to hadron spin