scholarly journals Very high order lattice perturbation theory for Wilson loops

2011 ◽  
Author(s):  
Holger Perlt
Keyword(s):  
Perturbation Theory ◽  
High Order ◽  
Wilson Loops ◽  
Lattice Perturbation Theory ◽  
Very High ◽  
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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