1. A novel approach to nonperturbative renormalization of singlet and nonsinglet lattice operators
- Author
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Chambers, A. J., Horsley, R., Nakamura, Y., Perlt, H., Rakow, P. E. L., Schierholz, G., Schiller, A., Zanotti, J. M., and QCDSF Collaboration
- Subjects
Nuclear and High Energy Physics ,Particle physics ,nonperturbative [renormalization] ,clover [fermion] ,High Energy Physics::Lattice ,FOS: Physical sciences ,Wilson [quark] ,lattice [quantum chromodynamics] ,Correlation function (quantum field theory) ,scalar [density] ,Renormalization ,High Energy Physics - Lattice ,Lattice (order) ,ddc:530 ,correlation function ,Singlet state ,lattice [operator] ,numerical calculations ,Pseudovector ,Mathematical physics ,Physics ,High Energy Physics - Lattice (hep-lat) ,flavor: 3 [quark] ,singlet ,Fermion ,16. Peace & justice ,lcsh:QC1-999 ,background field ,axial-vector [current] ,action [lattice field theory] ,3 [n-point function] ,lcsh:Physics - 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., Comment: 15 pages, 8 figures
- Published
- 2015
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