Semantic Scholar Open Access 2018 14 sitasi

Resurgence analysis of 2d Yang-Mills theory on a torus

Kazumi Okuyama K. Sakai

Lihat Sumber DOI

Abstrak

A bstractWe study the large N ’t Hooft expansion of the partition function of 2d U(N) Yang-Mills theory on a torus. We compute the 1/N genus expansion of both the chiral and the full partition function of 2d Yang-Mills using the recursion relation found by Kaneko and Zagier with a slight modification. Then we study the large order behavior of this genus expansion, from which we extract the non-perturbative correction using the resurgence relation. It turns out that the genus expansion is not Borel summable and the coefficient of 1-instanton correction, the so-called Stokes parameter, is pure imaginary. We find that the non-perturbative correction obtained from the resurgence is reproduced from a certain analytic continuation of the grand partition function of a system of non-relativistic fermions on a circle. Our analytic continuation is different from that considered in hep-th/0504221.

Topik & Kata Kunci

Physics

Penulis (2)

Kazumi Okuyama

K. Sakai

Format Sitasi

APA MLA BibTeX

Okuyama, K., Sakai, K. (2018). Resurgence analysis of 2d Yang-Mills theory on a torus. https://doi.org/10.1007/JHEP08(2018)065

Akses Cepat

Lihat di Sumber doi.org/10.1007/JHEP08(2018)065

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Total Sitasi: 14×
Sumber Database: Semantic Scholar
DOI: 10.1007/JHEP08(2018)065
Akses: Open Access ✓