PIRSA:14100079 Scientific Series Quantum Fields and Strings

DOI10.48660/14100079

Series: Quantum Fields and Strings

Jiang, Y. (2014). Three-Point Function in N=4 SYM and Spin Vertex. Perimeter Institute. https://pirsa.org/14100079

Jiang, Yunfeng. Three-Point Function in N=4 SYM and Spin Vertex. Perimeter Institute, Oct. 21, 2014, https://pirsa.org/14100079 

@misc{ pirsa_PIRSA:14100079,
  doi = {10.48660/14100079},
  url = {https://pirsa.org/14100079},
  author = {Jiang, Yunfeng},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Three-Point Function in N=4 SYM and Spin Vertex},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {oct},
  note = {PIRSA:14100079 see, \url{https://pirsa.org}}
}

Abstract

In this talk I will explain how to compute three-point functions of N=4 SYM theory in the planar limit for tree level and one-loop in perturbation theory. First I will recall how to formulate the problem of computing the three-point function of operators with determined R-charges in the language of integrable spin chains. In the su(2) sector, the tree-level three point function can be obtained in terms of determinants, whose large R-charge limit can be taken explicitly. Then I will report a systematic method to compute the su(2) three point function at higher loops. In particular, we are able to take the semi-classical limit, and we can compare our result with the calculation from string theory. In the Frolov-Tseytlin limit we find a perfect match at one-loop. Finally I will present a new formalism of computing three-point functions called the spin vertex formalism, which is the weak coupling counter-part of the string vertex in the string field theory. I will describe how to construct the spin vertex and discuss its important properties.

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