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



Bergner, Georg and Schaich, David ORCID: 0000-0002-9826-2951
(2021) Eigenvalue spectrum and scaling dimension of lattice $\mathcal{N} = 4$ supersymmetric Yang-Mills.

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Abstract

We investigate the lattice regularization of $\mathcal{N} = 4$ 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.

Item Type: Article
Additional Information: 24 pages, 13 figures
Uncontrolled Keywords: hep-lat, hep-lat
Depositing User: Symplectic Admin
Date Deposited: 25 Feb 2021 15:45
Last Modified: 18 Jan 2023 22:58
DOI: 10.1007/JHEP04(2021)260
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3116092

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