Scale setting for large-$N$ SUSY Yang-Mills on the lattice

Abstract

In this paper we study the large $N$ limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice 't Hooft couplings, and verified that the Pfaffian remains positive. We have determined the lattice spacing in terms of various observables obtaining compatible results. Extrapolating to the massless gluino limit we obtain the lattice spacing dependence on the bare couplings for the supersymmetric theory. The observed dependence goes along the expected behaviour predicted by perturbation theory.

arXiv comment55 pages

References in corpus (40)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Properties and uses of the Wilson flow in lattice QCD
• Trivializing maps, the Wilson flow and the HMC algorithm
• Infinite N phase transitions in continuum Wilson loop operators
• Branes And The Dynamics Of QCD
• Vector like gauge theories with almost massless fermions on the lattice
• Novel quark smearing for hadrons with high momenta in lattice QCD
• Accurate Scale Determinations for the Wilson Gauge Action
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• An Algorithm for Gluinos on the Lattice
• Constant contribution in meson correlators at finite temperature
• A New Exact Method for Dynamical Fermion Computations with Non-Local Actions
• The lattice gradient flow at tree-level and its improvement
• The RHMC Algorithm for 2 Flavours of Dynamical Staggered Fermions
• Large $N$ reduction with the Twisted Eguchi-Kawai model
• Super Yang-Mills on the lattice with domain wall fermions
• Accelerating Staggered Fermion Dynamics with the Rational Hybrid Monte Carlo (RHMC) Algorithm
• The string tension from smeared Wilson loops at large N
• Four-Dimensional N=1 Supersymmetric Yang-Mills Theory on the Lattice without Fine-Tuning
• The light bound states of supersymmetric SU(2) Yang-Mills theory
• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Testing volume independence of SU(N) pure gauge theories at large N
• The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
• The mass of the adjoint pion in N=1 supersymmetric Yang-Mills theory
• The gradient flow running coupling with twisted boundary conditions
• Twisted space-time reduced model of large N QCD with two adjoint Wilson fermions
• The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory
• Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction
• Large N meson masses from a matrix model
• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Hybrid Molecular Dynamics for Lattice Supersymmetry
• Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator
• Analysis of Ward identities in supersymmetric Yang-Mills theory
• The twisted gradient flow coupling at one loop
• Polynomial Filtered HMC -- an algorithm for lattice QCD with dynamical quarks
• Monte-Carlo simulations of overlap Majorana fermions
• Applying polynomial filtering to mass preconditioned Hybrid Monte Carlo
• Twisted reduction in large N QCD with adjoint Wilson fermions
• N=1 Supersymmetric Yang-Mills on the lattice at strong coupling
• A thick-restart Lanczos type method for Hermitian $J$-symmetric eigenvalue problems

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• Lattice studies of supersymmetric gauge theories
• Exploring gauge theories with adjoint matter on the lattice
• Comparison of smoothening flows for the topological charge in QCD-like theories
• ${\mathbb{Z}}_N$ stability and continuity in twisted Eguchi-Kawai model with two-flavor adjoint fermions
• Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence