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
2005-01-01

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.
2005
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]
File in questo prodotto:
File Dimensione Formato  
exact_lattice.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 181.04 kB
Formato Adobe PDF
181.04 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
exact_lattice_abs.pdf

non disponibili

Tipologia: Abstract
Licenza: Creative commons
Dimensione 2.67 kB
Formato Adobe PDF
2.67 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2287033
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 17
  • ???jsp.display-item.citation.isi??? 13
social impact