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arXiv · 1111.1824

Recent progress of lattice and non-lattice super Yang-Mills

Masanori Hanada·Issaku Kanamori·So Matsuura·Fumihiko Sugino
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Abstract

We report recent progress of non-perturbative formulation of supersymmetric Yang-Mills. Although lattice formulations of two-dimensional theories which are fine tuning free to all order in perturbation theory are known for almost ten years, however, there were only few evidence for the validity at non-perturbative level. In this talk we argue that most numerical studies so far do not capture the physics in continuum, and add new evidence that lattice formulation works at non-perturbatively. We further point out that, by combining two-dimensional lattice and matrix model techniques inspired by D-brane dynamics in superstring theory, a non-perturbative formulation of the four-dimensional maximally supersymmetric Yang-Mills theory, which is free from the fine tuning at least to all order in perturbation theory, is obtained.

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Masanori Hanada, Issaku Kanamori, So Matsuura, Fumihiko Sugino. 2011-11-08. Recent progress of lattice and non-lattice super Yang-Mills. https://arxiv.org/abs/1111.1824

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