Renormalization of Flavor Singlet and Nonsinglet Fermion Bilinear Operators
M. Constantinou (1), M. Hadjiantonis (1, 2), H. Panagopoulos (1), ((1) Department of Physics, University of Cyprus, (2) Present address:, Department of Physics, University of Michigan)
TL;DR
This paper calculates the two-loop difference in renormalization between flavor singlet and nonsinglet fermion bilinear operators for various lattice actions, aiding precise lattice QCD computations.
Contribution
It provides the first two-loop perturbative calculation of renormalization differences applicable to multiple improved lattice actions.
Findings
Two-loop renormalization difference computed for various lattice actions.
Results applicable to Symanzik improved gluons, stout links, and clover fermions.
Facilitates more accurate lattice QCD renormalization procedures.
Abstract
We compute the difference in the renormalization of flavor singlet and nonsinglet fermion bilinear operators, to two loops in perturbation theory. Our results are applicable to a rather wide class of lattice actions with Symanzik improved gluons, stout links and clover fermions, including the Twisted Mass and SLiNC actions. A more detailed presentation of our results, along with relevant references, will appear in a forthcoming publication.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum Chromodynamics and Particle Interactions · Numerical methods in inverse problems