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

Masanori Hanada, Issaku Kanamori, So Matsuura, Fumihiko Sugino

Research output: Contribution to journalConference article

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 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.

Original languageEnglish
JournalProceedings of Science
Volume139
Publication statusPublished - 2011 Jan 1
Event29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States
Duration: 2011 Jul 102011 Jul 16

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formulations
perturbation theory
tuning
Yang-Mills theory
string theory
continuums
physics
matrices

ASJC Scopus subject areas

  • General

Cite this

Recent progress of lattice and non-lattice super Yang-Mills. / Hanada, Masanori; Kanamori, Issaku; Matsuura, So; Sugino, Fumihiko.

In: Proceedings of Science, Vol. 139, 01.01.2011.

Research output: Contribution to journalConference article

Hanada, Masanori ; Kanamori, Issaku ; Matsuura, So ; Sugino, Fumihiko. / Recent progress of lattice and non-lattice super Yang-Mills. In: Proceedings of Science. 2011 ; Vol. 139.
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