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A new look at instantons and large-N limit

  • Tatsuo Azeyanagi
  • Masanori HanadaEmail author
  • Masazumi Honda
  • Yoshinori Matsuo
  • Shotaro Shiba
Open Access
Article
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Abstract

We analyze instantons in the very strongly coupled large-N limit (N → ∞ with g 2 fixed) of large-N gauge theories, where the effect of the instantons remains finite. By using the exact partition function of four-dimensional \( \mathcal{N} \) = 2* gauge theories as a concrete example, we demonstrate that each instanton sector in the very strongly coupled large-N limit is related to the one in the ’t Hooft limit (N → ∞ with g 2 N fixed) through a simple analytic continuation. Furthermore we show the equivalence between the instanton partition functions of a pair of large-N gauge theories related by an orbifold projection. This can open up a new way to analyze the partition functions of low/non-supersymmetric theories. We also discuss implication of our result to gauge/gravity dualities for M-theory as well as a possible application to large-N QCD.

Keywords

Nonperturbative Effects 1/N Expansion 
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Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Tatsuo Azeyanagi
    • 1
  • Masanori Hanada
    • 2
    • 3
    • 4
    Email author
  • Masazumi Honda
    • 2
    • 4
  • Yoshinori Matsuo
    • 4
  • Shotaro Shiba
    • 4
  1. 1.Center for the Fundamental Laws of NatureHarvard UniversityCambridgeUnited States
  2. 2.Yukawa Institute for Theoretical PhysicsKyoto UniversitySakyo-kuJapan
  3. 3.The Hakubi Center for Advanced ResearchKyoto UniversitySakyo-kuJapan
  4. 4.KEK Theory Center, High Energy Accelerator Research Organization (KEK)TsukubaJapan

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