Monte-Carlo simulations of overlap Majorana fermions

Abstract

Supersymmetric Yang-Mills (SYM) theories in four dimensions exhibit many interesting non-perturbative phenomena that can be studied by means of Monte Carlo lattice simulations. However, the lattice regularization breaks supersymmetry explicitly, and in general a fine tuning of a large number of parameters is required to correctly extrapolate the theory to the continuum limit. From this perspective, it is important to preserve on the lattice as many symmetries of the original continuum action as possible. Chiral symmetry for instance prevents an additive renormalization of the fermion mass. A (modified) version of chiral symmetry can be preserved exactly if the Dirac operator fulfills the Ginsparg-Wilson relation. In this contribution, we present an exploratory non-perturbative study of N=1 supersymmetric Yang-Mills theory using the overlap formalism to preserve chiral symmetry at non-zero lattice spacings. N=1 SYM is an ideal benchmark toward the extension of our studies to more complex supersymmetric theories, as the only parameter to be tuned is the gluino mass. Overlap fermions allow therefore to simulate the theory without fine-tuning. We compare our approach to previous investigations of the same theory, and we present clear evidences for gluino condensation.

23 pages, 10 figures

References in corpus (12)

• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Large-N reduction in QCD-like theories with massive adjoint fermions
• Topology and higher dimensional representations
• One flavor QCD
• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• Phase structure of the N=1 supersymmetric Yang-Mills theory at finite temperature
• Simulating an arbitrary number of flavors of dynamical overlap fermions
• Variational analysis of low-lying states in supersymmetric Yang-Mills theory
• Reweighting QCD simulations with dynamical overlap fermions
• Improvement of algorithms for dynamical overlap fermions
• Lattice QCD with fixed topology
• Spectroscopy of two dimensional N=2 Super Yang Mills theory

Cited by in corpus (5)

• Lattice studies of supersymmetric gauge theories
• Scale setting for large-$N$ SUSY Yang-Mills on the lattice
• Strong anomaly and phases of chiral gauge theories
• Chiral symmetry breaking and confinement: separating the scales
• Lattice simulations of adjoint QCD with one Dirac overlap fermion