scholarly journals Efficient Excitations and Spectra within a Perturbative Renormalization Approach

2020 ◽  
Vol 16 (10) ◽  
pp. 6294-6304
Author(s):  
Oliver J. Backhouse ◽  
George H. Booth
Keyword(s):  
Perturbative Renormalization ◽  
Renormalization Approach

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.

Velocity weakening friction: A renormalization approach

1996 ◽  
Vol 101 (B6) ◽  
pp. 13911-13917 ◽  
Author(s):  
Jean Schmittbuhl ◽  
Jean-Pierre Vilotte ◽  
Stéphane Roux
Keyword(s):  
Renormalization Approach

Influence of the Morphology on the Optical Properties of Nanocermet Films: A Renormalization Approach

1990 ◽  
Vol 195 ◽  
Author(s):  
S. Berthier ◽  
K. Driss-Khodja
Keyword(s):  
Optical Properties ◽  
Critical Exponents ◽  
Inhomogeneous Media ◽  
Experimental Results ◽  
Percolation Transition ◽  
Position Space ◽  
Renormalization Approach ◽  
2D And 3D ◽  
Good Agreement ◽  
Effective Medium Models

ABSTRACTIn order to take into account the actual morphology of the inhomogeneous media, we have developed, effective medium models based on a 2D and 3D position space renormalization /1,2/. These models predict the dipolar resonance and the percolation transition with critical exponents in good agreement with theoretical values and fairly reproduce most of the experimental results, whatever the concentration is. Further more, this allows a valuable comparison of the predictions of our models when applied on different lattices like real digitized TEM of cermet films or randomly occupied lattices.

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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