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KAKEN_15K05060seika.pdf
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Download
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:180.3 KB
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:Oct 31, 2019 |
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Total downloads since Oct 31, 2019 : 203
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離散的手法と数値計算に基づく超対称ゲージ理論の非摂動的探求
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リサンテキ シュホウ ト スウチ ケイサン ニ モトズク チョウタイショウ ゲージ リロン ノ ヒセツドウテキ タンキュウ
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Risanteki shuhō to sūchi keisan ni motozuku chōtaishō gēji riron no hisetsudōteki tankyū
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Non-perturbative study of supersymmetric gauge theories via discretization and numerical computation
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松浦, 壮
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マツウラ, ソウ
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Matsuura, Sō
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慶應義塾大学・商学部 (日吉) ・教授
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Research team head
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科研費研究者番号 : 70392123
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杉野, 文彦
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スギノ, フミヒコ
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Sugino, Fumihiko
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Collaborator
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花田, 政範
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ハナダ, マサノリ
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Hanada, Masanori
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Collaborator
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2019
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科学研究費補助金研究成果報告書
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2018
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| Abstract |
最近の超弦理論の研究から、超対称ゲージ理論が初期宇宙や量子重力理論といった問題にアプローチするための鍵となることが明らかになりつつある。本研究は、この成果を受け、2次元格子理論と行列正則化を組み合わせることで、4 次元の超対称ゲージ理論を第一原理から計算する手法を確立することを目的として行われた。
本研究では、分割したリーマン面上に2次元超対称ゲージ理論を定義し、その特性を調査した。結果、2次元理論の量子異常と数値計算の関係性をはじめとする多くの知見を得ることが出来た。これらの知見は、今後量子重力理論を見据えた4次元理論の数値計算を実行する上で必要不可欠なものである。
From recent research on string theory, supersymmetric gauge theory has been thought to be a key to approach the quantum gravity. In our project, we aimed to establish a method to calculate four-dimensional supersymmetric gauge theory from the first principle by combining two-dimensional lattice theory and matrix regularization.
In this project, we have defined the supersymmetric gauge theory on discretized Riemann surfaces and investigated their characteristics. As a result, we obtained many findings including the relationship between the quantum anomaly in two-dimensional theory and numerical calculation. This is an essential achievement when considering quantum gravity through numerical calculation in the future.
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研究種目 : 基盤研究 (C) (一般)
研究期間 : 2015～2018
課題番号 : 15K05060
研究分野 : 素粒子論
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