scholarly journals Mass of thebquark from lattice NRQCD and lattice perturbation theory

2013 ◽  
Vol 87 (7) ◽  
Author(s):  
A. J. Lee ◽  
C. J. Monahan ◽  
R. R. Horgan ◽  
C. T. H. Davies ◽  
R. J. Dowdall ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Lattice Perturbation Theory ◽  
Lattice Perturbation

scholarly journals Perturbative Renormalization of Wilson line operators

2018 ◽  
Vol 175 ◽  
pp. 06025 ◽  
Author(s):  
Martha Constantinou ◽  
Haralambos Panagopoulos
Keyword(s):  
Perturbation Theory ◽  
Wide Class ◽  
Lattice Spacing ◽  
Wilson Line ◽  
Gauge Invariant ◽  
Loop Level ◽  
Perturbative Renormalization ◽  
Lattice Perturbation Theory ◽  
Lattice Perturbation

We present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover fermions and a wide class of Symanzik improved gluon actions. The extended nature of such ‘long-link’ operators results in a nontrivial renormalization, including contributions which diverge linearly as well as logarithmically with the lattice spacing, along with additional finite factors. We present nonperturbative prescriptions to extract the linearly divergent contributions.

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