scholarly journals Non-perturbative renormalization of QCD

2008 ◽  
pp. 65-113 ◽  
Author(s):  
Rainer Sommer
Keyword(s):  
Perturbative Renormalization

scholarly journals Eigenvalue spectrum and scaling dimension of lattice $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Georg Bergner ◽  
David Schaich
Keyword(s):  
Anomalous Dimension ◽  
Finite Lattice ◽  
Continuum Theory ◽  
Lattice Volume ◽  
Yang Mills ◽  
Lattice Regularization ◽  
Perturbative Renormalization ◽  
Zero Values ◽  
Definition Of ◽  
Group Flow

Abstract We investigate the lattice regularization of $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory, by stochastically computing the eigenvalue mode number of the fermion operator. This provides important insight into the non-perturbative renormalization group flow of the lattice theory, through the definition of a scale-dependent effective mass anomalous dimension. While this anomalous dimension is expected to vanish in the conformal continuum theory, the finite lattice volume and lattice spacing generically lead to non-zero values, which we use to study the approach to the continuum limit. Our numerical results, comparing multiple lattice volumes, ’t Hooft couplings, and numbers of colors, confirm convergence towards the expected continuum result, while quantifying the increasing significance of lattice artifacts at larger couplings.

scholarly journals Non-perturbative renormalization of the static axial current in two-flavour QCD

2007 ◽  
Vol 2007 (02) ◽  
pp. 079-079 ◽  
Author(s):  
Alpha Collaboration ◽  
Michele Della Morte ◽  
Patrick Fritzsch ◽  
Jochen Heitger
Keyword(s):  
Axial Current ◽  
Perturbative Renormalization
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