2015年9月
Resurgence of the cusp anomalous dimension
JOURNAL OF HIGH ENERGY PHYSICS
- ,
- 巻
- 号
- 9
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/JHEP09(2015)138
- 出版者・発行元
- SPRINGER
We revisit the strong coupling limit of the cusp anomalous dimension in planar N = 4 super Yang-Mills theory. It is known that the strong coupling expansion is asymptotic and non-Borel summable. As a consequence, the cusp anomalous dimension receives non-perturbative corrections, and the complete strong coupling expansion should be a resurgent transseries. We reveal that the perturbative and non-perturbative parts in the transseries are closely interrelated. Solving the Beisert-Eden-Staudacher equation systematically, we analyze in detail the large order behavior in the strong coupling perturbative expansion and show that the non-perturbative information is indeed encoded there. An ambiguity of (lateral) Borel resummations of the perturbative expansion is precisely canceled by the contributions from the non-perturbative sectors, and the final result is real and unambiguous.
- リンク情報
- ID情報
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- DOI : 10.1007/JHEP09(2015)138
- ISSN : 1029-8479
- Web of Science ID : WOS:000363541800003