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Nicolai mapping vs. exact chiral symmetry on the lattice

Yoshio Kikukawa·Yoichi Nakayama
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Abstract

Two-dimensional N=2 Wess-Zumino model is constructed on the lattice through Nicolai mapping with Ginsparg-Wilson fermion. The Nicolai mapping requires a certain would-be surface term in the bosonic action which ensures the vacuum energy cancellation even on the lattice, but inevitably breaks chiral symmetry. With the Ginsparg-Wilson fermion, the holomorphic structure of the would-be surface term is maintained, leaving a discrete subgroup of the exact chiral symmetry intact for a monomial scalar potential. By this feature both boson and fermion can be kept massless on the lattice without any fine-tuning.

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Yoshio Kikukawa, Yoichi Nakayama. 2002-09-09. Nicolai mapping vs. exact chiral symmetry on the lattice. https://doi.org/10.1103/physrevd.66.094508

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