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.
%0 Journal Article
%1 Kikukawa:2002as
%A Kikukawa, Yoshio
%A Nakayama, Yoichi
%D 2002
%J Phys. Rev.
%K ChiralSymmetry GinspargWilson Lattice LatticeSusy N2 NicolaiMap Supersymmetry WessZuminoModel
%P 094508
%R 10.1103/PhysRevD.66.094508
%T Nicolai mapping vs. exact chiral symmetry on the
lattice
%U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/0207013
%V D66
%X 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.
@article{Kikukawa:2002as,
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. },
added-at = {2009-03-22T12:34:44.000+0100},
archiveprefix = {arXiv},
author = {Kikukawa, Yoshio and Nakayama, Yoichi},
biburl = {https://www.bibsonomy.org/bibtex/26cff754d3861b2e50ccab2383bea2557/gber},
description = {SPIRES-HEP: FIND EPRINT HEP-LAT/0207013},
doi = {10.1103/PhysRevD.66.094508},
eprint = {hep-lat/0207013},
interhash = {0aeb7a5fc205aa3c0ffd779accea6100},
intrahash = {6cff754d3861b2e50ccab2383bea2557},
journal = {Phys. Rev.},
keywords = {ChiralSymmetry GinspargWilson Lattice LatticeSusy N2 NicolaiMap Supersymmetry WessZuminoModel},
pages = 094508,
slaccitation = {%%CITATION = HEP-LAT/0207013;%%},
timestamp = {2009-03-22T13:10:32.000+0100},
title = {{Nicolai mapping vs. exact chiral symmetry on the
lattice}},
url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/0207013},
volume = {D66},
year = 2002
}