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}
}
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

Perturbative renormalization of lattice $ \mathcal{N} = 4 $ super Yang-Mills theory

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

Real space renormalization group for twisted lattice N$$ \mathcal{N} $$ =4 super Yang-Mills

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

Determining the mass anomalous dimension through the eigenmodes of Dirac operator

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

Perturbative Renormalization of Lattice N=4 Super Yang-Mills Theory

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

Twisted supersymmetries in lattice $ \mathcal{N} $ = 4 super Yang-Mills theory

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

Lattice $$ \mathcal{N} $$ = 4 super Yang-Mills at strong coupling

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

Phase structure of lattice $\mathcal{N}=4$ super Yang-Mills

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

A geometrical approach to N = 2 super Yang-Mills theory on the two dimensional lattice

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

Twisted supersymmetries in lattice N = 4 super Yang-Mills theory

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

New approach to the Dirac spectral density in lattice gauge theory applications

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