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

Journal Article · Wed Jun 01 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.114512· OSTI ID:20709476

Bonini, Marisa ^[1]; Feo, Alessandra ^[1]

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1. Dipartimento di Fisica, Universita di Parma and INFN Gruppo Collegato di Parma, Parco Area delle Scienze, 7/A, 43100 Parma (Italy)

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{sup 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.

• OSTI ID: 20709476
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
FERMIONS
LATTICE FIELD THEORY
PERTURBATION THEORY
RENORMALIZATION
SCALARS
SUPERSYMMETRY
WAVE FUNCTIONS