The fermion determinant in (4,4) 2d lattice super-Yang-Mills

Abstract

We find that the fermion determinant is not generally positive in a class of lattice actions recently constructed by Cohen et al. [hep-lat/0307012]; these are actions that contain an exact lattice supersymmetry and have as their target (continuum) theory (4,4) 2-dimensional super-Yang-Mills. We discuss the implications of this finding for lattice simulations and give some preliminary results for the phase of the determinant in the phase-quenched ensemble.

1+14 pages, 1 figure, 1 reference added

References in corpus (8)

• Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges
• Supersymmetry on a Euclidean Spacetime Lattice II: Theories with Eight Supercharges
• Lattice Supersymmetry and Topological Field Theory
• Non-positive fermion determinants in lattice supersymmetry
• Deconstruction, Lattice Supersymmetry, Anomalies and Branes
• Exact Lattice Supersymmetry from Topological Field Theory
• Deconstructing KK Monopoles
• Factorization Method for Simulating QCD at Finite Density

Cited by in corpus (34)

• Exact lattice supersymmetry
• A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• A geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice
• Twisted Supersymmetric Gauge Theories and Orbifold Lattices
• Twisted Superspace on a Lattice
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• Deconstruction and other approaches to supersymmetric lattice field theories
• Various Super Yang-Mills Theories with Exact Supersymmetry on the Lattice
• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Lattice supersymmetry, superfields and renormalization
• Less naive about supersymmetric lattice quantum mechanics
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
• Progress in four-dimensional lattice supersymmetry
• Lattice Sigma Models with Exact Supersymmetry
• Relationship between various supersymmetric lattice models
• Twisted supersymmetric sigma model on the lattice
• Perturbative Study of the Supersymmetric Lattice Theory from Matrix Model
• First results from simulations of supersymmetric lattices
• R-symmetry in the Q-exact (2,2) 2d lattice Wess-Zumino model
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• N=1 super Yang-Mills on a (3+1) dimensional transverse lattice with one exact supersymmetry
• Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing
• A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Advances and applications of lattice supersymmetry
• A Lattice Formulation of Two Dimensional Topological Field Theory
• Lattice supersymmetry and string phenomenology
• A deconstruction lattice description of the D1/D5 brane world-volume gauge theory