論文

2014年10月

Wilson loop OPE, analytic continuation and multi-Regge limit

JOURNAL OF HIGH ENERGY PHYSICS
  • Yasuyuki Hatsuda

10
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/JHEP10(2014)038
出版者・発行元
SPRINGER

We explore a direct connection between the collinear limit and the multi-Regge limit for scattering amplitudes in the N = 4 super Yang-Mills theory. Starting with the collinear expansion for the six-gluon amplitude in the Euclidean kinematic region, we perform an analytic continuation term by term to the so-called Mandelstam region. We find that the result coincides with the collinear expansion of the analytically continued amplitude. We then take the multi-Regge limit, and conjecture that the final result precisely reproduces the one from the BFKL approach. Combining this procedure with the OPE for null polygonal Wilson loops, we explicitly compute the leading contribution in the "collinear-Regge" limit up to five loops. Our results agree with all the known results up to four loops. At five-loop, our results up to the next-to-next-to-leading logarithmic approximation (NNLLA) also reproduce the known results, and for the N(3)LLA and the N(4)LLA give non-trivial predictions. We further present an all-loop prediction for the imaginary part of the next-to-double-leading logarithmic approximation. Our procedure has a possibility of an interpolation from weak to strong coupling in the multi-Regge limit with the help of the OPE.

リンク情報
DOI
https://doi.org/10.1007/JHEP10(2014)038
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000343662900001&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/JHEP10(2014)038
  • ISSN : 1029-8479
  • Web of Science ID : WOS:000343662900001

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