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

scholarly journals Non-perturbative renormalization of the axial current with improved Wilson quarks

2004 ◽  
Vol 129-130 ◽  
pp. 423-425 ◽  
Author(s):  
R. Hoffmann ◽  
F. Knechtli ◽  
J. Rolf ◽  
R. Sommer ◽  
U. Wolff
Keyword(s):  
Axial Current ◽  
Perturbative Renormalization

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

2003 ◽  
Vol 669 (1-2) ◽  
pp. 173-206 ◽  
Author(s):  
Jochen Heitger ◽  
Martin Kurth ◽  
Rainer Sommer
Keyword(s):  
Axial Current ◽  
Perturbative Renormalization

scholarly journals Non-perturbative renormalization of the axial current with dynamical Wilson fermions

2005 ◽  
Vol 2005 (07) ◽  
pp. 007-007 ◽  
Author(s):  
Michele Della Morte ◽  
Roland Hoffmann ◽  
Francesco Knechtli ◽  
Rainer Sommer ◽  
Ulli Wolff
Keyword(s):  
Axial Current ◽  
Perturbative Renormalization ◽  
Wilson Fermions

scholarly journals Non-perturbative renormalization of the ΔS = 2 four-fermion operator and the heavy-light static axial current

1996 ◽  
Vol 47 (1-3) ◽  
pp. 489-492 ◽  
Author(s):  
A. Donini ◽  
V. Giménez ◽  
G. Martinelli ◽  
C.T. Sachrajda ◽  
M. Talevi ◽  
...  
Keyword(s):  
Axial Current ◽  
Fermion Operator ◽  
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.

Ion density and current distributions in a propagating current sheet, determined by microwave reflection technique

1969 ◽  
Vol 3 (2) ◽  
pp. 189-213 ◽  
Author(s):  
W. R. Ellis ◽  
R. G. Jahn
Keyword(s):  
Axial Current ◽  
Ion Current ◽  
Large Radius ◽  
Relative Importance ◽  
Current Pattern ◽  
Ion Density ◽  
Density Distributions ◽  
Hall Parameter ◽  
Electron Density And Temperature ◽  
Microwave Reflection

Electron and ion density distributions and the problem of electron/ion current partitioning are studied in a large radius Z-pinch in argon. Radial scans of the electron density and temperature proffles in the propagating sheet are obtained with a multi-purpose microwave interferometer which measures the complex refiexion coefficient from the plasma. At 70 GHz the probe resolves densities up to 1017 cm−3 over dimensions of ˜ 4 mm. Proffles of the electric and magnetic field components are obtained using standard probe techniques, and these data are used to calculate ion and electron current components in the sheet.Within the approximations of MHD theory, calculations show that the overall axial current pattern is built up of four interior zones alternately dominated by electron or ion current. This structure is observed to be closely correlated with variations of the Hall parameter, Wb/vc, about the value of unity through the sheet, which suggests that this parameter might be used as a guide to the relative importance of ion conduction in pinch discharge current sheets.

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