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

@article{Bergner2021EigenvalueSA,
title={Eigenvalue spectrum and scaling dimension of lattice \$\$ \mathcal\{N\} \$\$ = 4 supersymmetric Yang-Mills},
author={Georg Bergner and David Schaich},
journal={Journal of High Energy Physics},
year={2021},
volume={2021}
}
• Published 12 February 2021
• Physics
• Journal of High Energy Physics
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…

## References

SHOWING 1-10 OF 40 REFERENCES

• Physics
• 2011
We consider $\mathcal{N} = 4$ super Yang-Mills theory on a four-dimensional lattice. The lattice formulation under consideration retains one exact supersymmetry at non-zero lattice spacing. We show
• Physics
• 2014
A bstractA necessary ingredient for our previous results on the form of the long distance effective action of the twisted lattice N$$\mathcal{N}$$ =4 super Yang-Mills theory is the existence of a
• Physics
• 2013
We define a scale-dependent effective mass anomalous dimension from the scaling of the mode number of the massless Dirac operator, which connects the perturbative $\gamma_m$ of an asymptotically-free
We consider N = 4 super Yang-Mills theory on a four-dimensional lattice. The lattice formulation under consideration retains one exact supersymmetry at non-zero lattice spacing. We show that this
• Physics
• 2013
A bstractRecently it has been shown how a topologically twisted version of $\mathcal{N}$ = 4 super Yang-Mills may be discretized in such a way as to preserve one scalar supersymmetry at nonzero
• Physics
• 2020
In this paper we present results from numerical simulations of N=4 super Yang-Mills for two color gauge theory over a wide range of 't Hooft coupling $0<\lambda\le 30$ using a supersymmetric lattice
• Physics
• 2012
A bstractWe make a first study of the phase diagram of four-dimensional $\mathcal{N}=4$ super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ is both gauge
We propose a discretization of two dimensional Euclidean Yang-Mills theories with N = 2 supersymmetry which preserves exactly both gauge invariance and an element of supersymmetry. The approach
• Physics
• 2013
Recently it has been shown how a topologically twisted version of N = 4 super Yang-Mills may be discretized in such a way as to preserve one scalar supersymmetry at nonzero lattice spacing. The
• Physics
• 2016
We report tests and results from a new approach to the spectral density and the mode number distribution of the Dirac operator in lattice gauge theories. The algorithm generates the spectral density