scholarly journals Non-perturbative renormalization of Nf=2+1 QCD with Schroedinger functional scheme

2009 ◽  
Author(s):  
Yusuke Taniguchi
Keyword(s):  
Functional Scheme ◽  
Perturbative Renormalization

scholarly journals Non-perturbative renormalization in domain-wall QCD by Schrödinger functional scheme

2002 ◽  
Vol 106-107 ◽  
pp. 844-846
Author(s):  
S. Aoki ◽  
Y. Aoki ◽  
S. Ejiri ◽  
M. Fukugita ◽  
S. Hashimoto ◽  
...  
Keyword(s):  
Domain Wall ◽  
Functional Scheme ◽  
Perturbative Renormalization

scholarly journals Non-perturbative renormalization of quark mass in N f = 2 + 1 QCD with the Schrödinger functional scheme

2010 ◽  
Vol 2010 (8) ◽  
Author(s):  
S. Aoki ◽  
◽  
K.-I. Ishikawa ◽  
N. Ishizuka ◽  
T. Izubuchi ◽  
...  
Keyword(s):  
Quark Mass ◽  
Functional Scheme ◽  
Perturbative Renormalization

A hybrid Gaussian and plane wave density functional scheme

1997 ◽  
Vol 92 (3) ◽  
pp. 477-487 ◽  
Author(s):  
GERALD LIPPERT ◽  
JuRG HUTTER ◽  
MICHELE PARRINELLO
Keyword(s):  
Plane Wave ◽  
Density Functional ◽  
Functional Scheme

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.

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