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