Singlet versus nonsinglet perturbative renormalization of fermion bilinears

In this paper, we present the perturbative evaluation of the difference between the renormalization functions of flavor singlet and nonsinglet bilinear quark operators on the lattice. The computation is performed to two loops and to lowest order in the lattice spacing, for a class of improved lattic...

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Bibliographic Details
Published in:Physical review. D 2016-12, Vol.94 (11)
Main Authors: Constantinou, M, Hadjiantonis, M, Panagopoulos, H, Spanoudes, G
Format: Article
Language:English
Subjects:
Clover
Fermions
Galling
Gluons
Operators
Online Access:Get full text
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Summary:In this paper, we present the perturbative evaluation of the difference between the renormalization functions of flavor singlet and nonsinglet bilinear quark operators on the lattice. The computation is performed to two loops and to lowest order in the lattice spacing, for a class of improved lattice actions, including Wilson, tree-level Symanzik and Iwasaki gluons, twisted mass and Stout Link Non-perturbative Clover (SLiNC) Wilson fermions, as well as staggered fermions with twice stout-smeared links. In the staggered formalism, the stout smearing procedure is also applied to the definition of bilinear operators.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.94.114513