Realization of lattice Leibniz rule and construction of supersymmetry on lattice

2017 Fiscal Year Final Research Report

• Project/Area Number: 25400260
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Ehime University
• Principal Investigator: So Hiroto 愛媛大学, 理工学研究科(理学系), 教授 (20196992)
• Co-Investigator(Kenkyū-buntansha): 坂本 眞人 神戸大学, 理学研究科, 准教授 (30183817) ; 加藤 光裕 東京大学, 大学院総合文化研究科, 教授 (80185876)
• Project Period (FY): 2013-04-01 – 2018-03-31
• Keywords: 超対称性 / 場の理論 / 格子場の理論 / 量子力学

Outline of Final Research Achievements

We propose a new type field product based on cyclic Leibniz rule which is characteristic in lattice theory. Using the product, we formulated real and complex supersymmetric quantum mechanics on lattice. Still in the real model the Witten index has been calculated by localization technique. For complex model, We have prove a non-renormalization theorem on a kind of F-term keeping finite lattice constant.

Free Research Field

素粒子論