On the 2-dimensionalN=2 Wess-Zumino model on the lattice; From Dirac-K�hler formalism to the Nicolai mapping

A nonperturbative formulation of the Wess-Zumino (WZ) model in two and three dimensions is proposed on the basis of momentum-modes truncation. The formulation manifestly preserves full supersymmetry as well as the translational invariance and all global symmetries, while it is shown to be consistent with the expected locality to all orders of perturbation theory. For the two-dimensional WZ model, a well-defined Nicolai map in the formulation provides an interesting algorithm for Monte Carlo simulations. (Daisuke Kadoh), hsuzuki@riken.jp (Hiroshi Suzuki). 1 We assume that the Kähler potential is the flat one, Φ † Φ, and the superpotential is cubic in the three-dimensional model, so that the model is ultraviolet (UV) finite. 2 In Sec. 2.2, we will clarify the relation of our proposal to a lattice formulation in Ref. [11] that is based on the SLAC derivative [46,47].

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Novel approach to super Yang-Mills theory on lattice. Exact fermionic symmetry and ``Ichimatsu'' pattern

Itoh

Kato

Sawanaka

et al. 2003

J. High Energy Phys.

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We present a lattice theory with an exact fermionic symmetry, which mixes the link and the fermionic variables. The staggered fermionic variables may be reconstructed into a Majorana fermion in the continuum limit. The gauge action has a novel structure. Though it is the ordinary plaquette action, two different couplings are assigned in the "Ichimatsu pattern" or the checkered pattern. In the naive continuum limit, the fermionic symmetry survives as a continuum (or an O(a 0 )) symmetry. The transformation of the fermion is proportional to the field strength multiplied by the difference of the two gauge couplings in this limit. This work is an extension of our recently proposed cell model toward the realization of supersymmetric Yang-Mills theory on lattice.

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On the 2-dimensionalN=2 Wess-Zumino model on the lattice; From Dirac-K�hler formalism to the Nicolai mapping

Cited by 4 publications

References 8 publications

The 2-dimensionalN=2 supersymmetric Yang-Mills model on the discrete space-time lattice

The 2-dimensionalN=2 supersymmetric Yang-Mills model on the discrete space-time lattice

Supersymmetric nonperturbative formulation of the WZ model in lower dimensions

Novel approach to super Yang-Mills theory on lattice. Exact fermionic symmetry and ``Ichimatsu'' pattern

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