scholarly journals Supersymmetric Ward-Takahashi identity in one-loop lattice perturbation theory: General procedure

2004 ◽  
Vol 70 (5) ◽  
Author(s):  
Alessandra Feo
Keyword(s):  
Perturbation Theory ◽  
General Procedure ◽  
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.

scholarly journals Viability of lattice perturbation theory

1993 ◽  
Vol 48 (5) ◽  
pp. 2250-2264 ◽  
Author(s):  
G. Peter Lepage ◽  
Paul B. Mackenzie
Keyword(s):  
Perturbation Theory ◽  
Lattice Perturbation Theory ◽  
Lattice Perturbation
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