Mayer expansion of the Nekrasov prepotential: The subleading epsilon(2)-order

作者：Bourgine Jean Emile; Fioravanti Davide^*

来源：Nuclear Physics B, 2016, 906: 408-440.

DOI：10.1016/j.nuclphysb.2016.03.017

The Mayer cluster expansion technique is applied to the Nekrasov instanton partition function of N = 2 SU(N-c) super Yang Mills. The subleading small epsilon(2)-correction to the Nekrasov-Shatashvili limiting value of the prepotential is determined by a detailed analysis of all the one-loop diagrams. Indeed, several types of contributions can be distinguished according to their origin: long range interaction or potential expansion, clusters self-energy, internal structure, one-loop cyclic diagrams, etc. The field theory result derived more efficiently in [1], under some minor technical assumptions, receives here definite confirmation thanks to several remarkable cancellations: in this way, we may infer the validity of these assumptions for further computations in the field theoretical approach.

• 出版日期2016-5