A new look at instantons and large-N limit

作者：Azeyanagi Tatsuo^*; Hanada Masanori; Honda Masazumi; Matsuo Yoshinori; Shiba Shotaro

来源：The Journal of High Energy Physics, 2014, 2014(5): 008.

DOI：10.1007/JHEP05(2014)008

• Nonperturbative Effects
• 1/N Expansion

We analyze instantons in the very strongly coupled large-N limit (N -> infinity 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 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 -> infinity 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.

• 出版日期2014-5-5