Exact lattice Ward-Takahashi identity for the N=1 Wess-Zumino model
arXiv:hep-lat/0504010 · doi:10.1103/PhysRevD.71.114512
Abstract
We consider a lattice formulation of the four dimensional N=1 Wess-Zumino model that uses the Ginsparg-Wilson relation. This formulation has an exact supersymmetry on the lattice. We show that the corresponding Ward-Takahashi identity is satisfied, both at fixed lattice spacing and in the continuum limit. The calculation is performed in lattice perturbation theory up to order in the coupling constant. We also show that this Ward-Takahashi identity determines the finite part of the scalar and fermion renormalization wave functions which automatically leads to restoration of supersymmetry in the continuum limit. In particular, these wave functions coincide in this limit.
arXiv comment19 pages, 6 figures
References in corpus (27)
- Exactly massless quarks on the lattice
- Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
- More about exactly massless quarks on the lattice
- Locality properties of Neuberger's lattice Dirac operator
- Supersymmetry on a Spatial Lattice
- Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges
- Supersymmetry on a Euclidean Spacetime Lattice II: Theories with Eight Supercharges
- Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
- An Algorithm for Gluinos on the Lattice
- Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly
- Lattice Supersymmetry and Topological Field Theory
- Twisted Superspace on a Lattice
- Various Super Yang-Mills Theories with Exact Supersymmetry on the Lattice
- Supersymmetric Yang-Mills theory on the lattice
- Supersymmetry on the lattice
- A lattice study of the two-dimensional Wess Zumino model
- Exact Supersymmetry on the Lattice
- Supersymmetry on the lattice and the Leibniz rule
- Lattice Sigma Models with Exact Supersymmetry
- Predictions and recent results in susy on the lattice
- Lattice chiral symmetry, Yukawa couplings and the Majorana condition
- Lattice Chiral Symmetry and the Wess-Zumino Model
- Supersymetry on the Noncommutative Lattice
- Supersymmetry breaking in two dimensions: the lattice N=1 Wess-Zumino model
- Wess-Zumino model with exact supersymmetry on the lattice
- Phase diagram of the lattice Wess-Zumino model from rigorous lower bounds on the energy
- A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
Cited by in corpus (13)
- Deconstruction and other approaches to supersymmetric lattice field theories
- Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
- Compact Gauge Fields for Supersymmetric Lattices
- Supersymmetric nonperturbative formulation of the WZ model in lower dimensions
- Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
- Matrix formulation of superspace on 1D lattice with two supercharges
- Exact Lattice Supersymmetry at the Quantum Level for Wess-Zumino Models in 1- and 2-Dimensions
- Blocking-inspired supersymmetric actions: a status report
- Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks
- Advances and applications of lattice supersymmetry
- Two-loop Wess-Zumino model with exact supersymmetry on the lattice
- Supercurrent conservation in the lattice Wess-Zumino model with Ginsparg-Wilson fermions
- A Note on Reflection Positivity and the Umezawa-Kamefuchi-Kallen-Lehmann Representation of Two Point Correlation Functions