scholarly journals Non-perturbative Renormalization of Bilinear Operators on Fine Lattice

2016 ◽  
Author(s):  
Jangho Kim ◽  
Hwancheol Jeong ◽  
Weonjong Lee ◽  
Jeonghwan Pak ◽  
Sungwoo Park
Keyword(s):  
Bilinear Operators ◽  
Perturbative Renormalization

scholarly journals Perturbative renormalization factors of quark bilinear operators for domain-wall QCD

1999 ◽  
Vol 59 (9) ◽  
Author(s):  
Sinya Aoki ◽  
Taku Izubuchi ◽  
Yoshinobu Kuramashi ◽  
Yusuke Taniguchi
Keyword(s):  
Domain Wall ◽  
Bilinear Operators ◽  
Perturbative Renormalization

scholarly journals Non perturbative renormalization of flavor singlet quark bilinear operators in lattice QCD

2017 ◽  
Author(s):  
Stefano Piemonte ◽  
Gunnar Bali ◽  
Sara Collins ◽  
Meinulf Goeckeler ◽  
Andre Sternbeck
Keyword(s):  
Lattice Qcd ◽  
Bilinear Operators ◽  
Perturbative Renormalization

scholarly journals Singlet vs Nonsinglet Perturbative Renormalization factors of Staggered Fermion Bilinears

2018 ◽  
Vol 175 ◽  
pp. 14004
Author(s):  
Haralambos Panagopoulos ◽  
Gregoris Spanoudes
Keyword(s):  
Lattice Spacing ◽  
Physical Review ◽  
Significant Part ◽  
Staggered Fermions ◽  
Bilinear Operators ◽  
Perturbative Renormalization ◽  
Simulation Results ◽  
The Difference ◽  
Definition Of ◽  
Precise Simulation

In this paper we present the perturbative computation of the difference between the renormalization factors of flavor singlet ([see formula in PDF], f : flavor index) and nonsinglet ([see formula in PDF]) bilinear quark operators (where Γ = 𝟙, γ5, γ µ, γ5 γ µ, γ5 σµv on the lattice. The computation is performed to two loops and to lowest order in the lattice spacing, using Symanzik improved gluons and staggered fermions with twice stout-smeared links. The stout smearing procedure is also applied to the definition of bilinear operators. A significant part of this work is the development of a method for treating some new peculiar divergent integrals stemming from the staggered formalism. Our results can be combined with precise simulation results for the renormalization factors of the nonsinglet operators, in order to obtain an estimate of the renormalization factors for the singlet operators. The results have been published in Physical Review D [1].

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 Nonperturbative renormalization of bilinear operators with dynamical overlap fermions

2010 ◽  
Vol 81 (3) ◽  
Author(s):  
J. Noaki ◽  
T. W. Chiu ◽  
H. Fukaya ◽  
S. Hashimoto ◽  
H. Matsufuru ◽  
...  
Keyword(s):  
Bilinear Operators ◽  
Nonperturbative Renormalization
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