1,721,034 research outputs found
THE SUPERSYMMETRIC WARD-TAKAHASHI IDENTITY IN ONE LOOP LATTICE PERTURBATION THEORY. 1. GENERAL PROCEDURE
No full textTwo-loop Wess-Zumino model with exact supersymmetry on the lattice
No full textWe consider a lattice formulation of the four-dimensional N=1 Wess-Zumino model in terms of the Ginsparg-Wilson relation. This formulation has an exact supersymmetry on the lattice. The lattice action is invariant under a deformed supersymmetric transformation, which is nonlinear in the scalar fields, and it is determined by an iterative procedure in the coupling constant to all orders in perturbation theory. We also show that the corresponding Ward-Takahashi identity is satisfied at fixed lattice spacing. The calculation is performed in lattice perturbation theory up to order g3 (two loops), and the Ward-Takahashi identity (containing 110 connected nontadpole Feynman diagrams) is satisfied at fixed lattice spacing thanks to this exact lattice supersymmetry. © 2013 American Physical Society
Supersymmetry on the lattice
No full textLattice results in supersymmetry are summarized. Past, present and future perspectives are discussed
THE STUDY OF THE CONTINUUM LIMIT OF THE SUPERSYMMETRIC WARD-TAKAHASHI IDENTITY FOR N=1 SUPERYANG-MILLS THEORY
No full text
Wess-Zumino model with exact supersymmetry on the lattice
No full textA lattice formulation of the four dimensional Wess-Zumino model that uses
Ginsparg-Wilson fermions and keeps exact supersymmetry is presented. The
supersymmetry transformation that leaves invariant the action at finite lattice spacing is
determined by performing an iterative procedure in the coupling constant. The closure of
the algebra, generated by this transformation is also showed
Exact supersymmetry on the lattice: the Wess-Zumino model
No full textIt is shown that the lattice Wess-Zumino model written in terms of Ginsparg-
Wilson fermions is invariant under a generalized supersymmetry transformation which is
determined by an iterative procedure in the coupling constant. This transformation is nonlinear
in the scalar fields and depends on the superpotential parameters. The implications
of this lattice invariance are discussed
Exact Lattice Ward-Takahashi identity for the N=1 Wess-Zumino model
No full textWe 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
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