2008/10/31 by Joel Giedt, Richard C. Brower, Richard Brower +4 · 1 citation
Mathematics · Physics and Astronomy · #Fermion #Gauge theory #Gaugino #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical physics #Mathematics #Monte Carlo method #Particle physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Statistics #Supersymmetry #Yang–Mills theory #hep-lat
paper · pdf · doi:10.1103/physrevd.79.025015
published as Phys.Rev.D79:025015,2009 · 26 pages; v2: fixed sign error in (3.2), corrected tables, added data
arxiv created 2008/12/09 · openalex publication_date 2009/01/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Lattice N=1 super-Yang-Mills formulated using Ginsparg-Wilson fermions provides a rigorous nonperturbative definition of the continuum theory that requires no fine-tuning as the lattice spacing is reduced to zero. Domain wall fermions are one explicit scheme for achieving this and using them we have performed large-scale Monte Carlo simulations of the theory for gauge group SU(2). We have measured the gaugino condensate, static potential, Creutz ratios, and residual mass for several values of the domain wall separation Ls, four-dimensional lattice volume, and two values of the bare gauge coupling. With this data we are able to extrapolate the gaugino condensate to the chiral limit, to express it in physical units, and to establish important benchmarks for future studies of super-Yang-Mills on the lattice.