Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions

Abstract

We present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. In this particular lattice formulation of the theory, supersymmetry is expected to emerge accidentally in the continuum and chiral limits without any fine-tuning of operators. Dynamical simulations were performed for the gauge group SU(2) on 8^3x8 and 16^3x32 lattice space-time volumes and at three different values of the coupling: beta = 2.3, 2.353 and 2.4. Results from this study include measurements of the static potential, residual mass, and a chirally extrapolated value for the gluino condensate at beta=2.3. In addition to these, we study the low lying eigenvalues and eigenvectors of the five dimensional Hermitian domain-wall fermion Dirac operator and present evidence that, for the choice of parameters under investigation, features of the spectrum appear qualitatively consistent with strong coupling and the presence of a large residual mass. From the five dimensional eigenvalues we explore the possibility of using the Banks-Casher relation to determine an independent value for the gluino condensate in the chiral limit.

arXiv comment76 pages; 2 figures added, minor revisions to sections I and III, updated references

References in corpus (39)

• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• 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
• Chiral Fermions from Lattice Boundaries
• Axial symmetries in lattice QCD with Kaplan fermions
• Infinitely many regulator fields for chiral fermions
• Branes And The Dynamics Of QCD
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• An Accelerated Conjugate Gradient Algorithm to Compute Low-Lying Eigenvalues --- a Study for the Dirac Operator in SU(2) Lattice QCD
• An Algorithm for Gluinos on the Lattice
• 2+1 flavor domain wall QCD on a (2 fm)^3 lattice: light meson spectroscopy with Ls = 16
• Exact 2+1 flavour RHMC simulations
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• The RHMC Algorithm for 2 Flavours of Dynamical Staggered Fermions
• Chiral Symmetry Restoration in the Schwinger Model with Domain Wall Fermions
• Lattice gauge action suppressing near-zero modes of H_W
• Super Yang-Mills on the lattice with domain wall fermions
• Supersymmetric Yang-Mills theory on the lattice
• The supersymmetric Ward identities on the lattice
• Supersymmetry on the lattice
• Gap Domain Wall Fermions
• Monte Carlo simulation of SU(2) Yang-Mills theory with light gluinos
• Localization and chiral symmetry in 2+1 flavor domain wall QCD
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Towards N=1 Super-Yang-Mills on the Lattice
• On the Effective Action of N=1 Supersymmetric Yang-Mills Theory
• Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions
• Anomalies and chiral defect fermions
• SUSY on the lattice
• Gluinos on the lattice: quenched calculations
• The low-lying mass spectrum of the N=1 SU(2) SUSY Yang-Mills theory with Wilson fermions
• Hybrid Molecular Dynamics for Lattice Supersymmetry
• Spectrum of SU(2) SUSY Yang-Mills Theory with a light gluino
• Supersymmetric gauge theories on the lattice
• Numerical study of SU(2) Yang-Mills theory with gluinos
• Simulation of QCD and other similar theories
• Low-energy features of SU(2) Yang-Mills theory with light gluinos
• The Volume Source Technique for flavor singlets: a second look

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