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Exact lattice supersymmetry at the quantum level for N = 2 Wess–Zumino models in 1- and 2-dimensions

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Title: Exact lattice supersymmetry at the quantum level for N = 2 Wess–Zumino models in 1- and 2-dimensions
Authors: Asaka, Keisuke Browse this author
D'Adda, Alessandro Browse this author
Kawamoto, Noboru Browse this author
Kondo, Yoshi Browse this author
Keywords: Lattice field theory
lattice supersymmetry
Ward–Takahashi identity
Issue Date: 20-Aug-2016
Publisher: World Scientific Publishing
Journal Title: International Journal of Modern Physics A
Volume: 31
Issue: 23
Start Page: 1650125
Publisher DOI: 10.1142/S0217751X16501256
Abstract: Supersymmetric lattice Ward-Takahashi identities are investigated perturbatively up to two-loop corrections for super doubler approach of N = 2 lattice Wess-Zumino models in 1- and 2-dimensions. In this approach, notorious chiral fermion doublers are treated as physical particles and momentum conservation is modified in such a way that lattice Leibniz rule is satisfied. The two major difficulties to keep exact lattice supersymmetry are overcome. This formulation defines, however, nonlocal field theory. Nevertheless we confirm that exact supersymmetry on the lattice is realized for all supercharges at the quantum level. Delicate issues of associativity are also discussed.
Rights: Electronic version of an article published as International Journal of Modern Physics A, Vol.31, No.23, 2016, 1650125 DOI:10.1142/S0217751X16501256 © copyright World Scientific Publishing Company https://doi.org/10.1142/S0217751X16501256
Type: article (author version)
URI: http://hdl.handle.net/2115/67029
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 河本 昇

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