Eigenvalue spectrum and scaling dimension of lattice N=4 supersymmetric Yang-Mills

Bergner, Georg and Schaich, David ORCID: 0000-0002-9826-2951 (2021) Eigenvalue spectrum and scaling dimension of lattice N=4 supersymmetric Yang-Mills. JOURNAL OF HIGH ENERGY PHYSICS, 2021 (4). 260-.

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Official URL: http://dx.doi.org/10.1007/JHEP04(2021)260

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:	Lattice Quantum Field Theory, Supersymmetric Gauge Theory, Extended Supersymmetry, Lattice QCD
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	27 May 2021 14:30
Last Modified:	15 Mar 2024 15:49
DOI:	10.1007/JHEP04(2021)260
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3124236