Publisher’s Note: Apparently noninvariant terms of nonlinear sigma models in lattice perturbation theory [Phys. Rev. D79, 065037 (2009)]

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
Koji Harada ◽  
Nozomu Hattori ◽  
Hirofumi Kubo ◽  
Yuki Yamamoto
Keyword(s):  
Perturbation Theory ◽  
Sigma Models ◽  
Lattice Perturbation Theory ◽  
Lattice Perturbation ◽  
Nonlinear Sigma Models

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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