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 g(2) 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.

Exact Lattice Ward-Takahashi identity for the N=1 Wess-Zumino model / Bonini, Marisa; Feo, Alessandra. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 71:(2005), pp. 114512-1-114512-12. [10.1103/PhysRevD.71.114512]

Exact Lattice Ward-Takahashi identity for the N=1 Wess-Zumino model

BONINI, Marisa;FEO, Alessandra
2005

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 g(2) 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.
Exact Lattice Ward-Takahashi identity for the N=1 Wess-Zumino model / Bonini, Marisa; Feo, Alessandra. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 71:(2005), pp. 114512-1-114512-12. [10.1103/PhysRevD.71.114512]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2287033
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