Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2021)260
Keywords
Lattice Quantum Field Theory; Supersymmetric Gauge Theory; Extended Supersymmetry; Lattice QCD
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Funding
- Heisenberg Programme of the Deutsche Forschungsgemeinschaft (DFG) [5942/3-1]
- U.K. Research and Innovation Future Leader Fellowship [MR/S015418/1]
- STFC [ST/T000988/1]
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In this study, we investigate the lattice regularization of N = 4 supersymmetric Yang-Mills theory by computing the eigenvalue mode number of the fermion operator stochastically. The results demonstrate convergence towards the expected continuum result under different parameters, while also quantifying the increasing significance of lattice artifacts with larger couplings.
We investigate the lattice regularization of 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.
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