Quantum Integrability for Three-Point Functions


Gromov, N. (2012). Quantum Integrability for Three-Point Functions. Perimeter Institute. https://pirsa.org/12020162


Gromov, Nikolay. Quantum Integrability for Three-Point Functions. Perimeter Institute, Mar. 02, 2012, https://pirsa.org/12020162


          @misc{ pirsa_PIRSA:12020162,
            doi = {10.48660/12020162},
            url = {https://pirsa.org/12020162},
            author = {Gromov, Nikolay},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Quantum Integrability for Three-Point Functions},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {mar},
            note = {PIRSA:12020162 see, \url{https://pirsa.org}}

Nikolay Gromov King's College London


Quantum corrections to three-point functions of scalar single trace operators in planar ${\cal N}=4$ Super-Yang-Mills theory are studied using integrability. At one loop, we find  new algebraic structures that not only govern all two loop corrections to the mixing of the operators but also automatically incorporate all one loop diagrams correcting the tree level Wick contractions. Speculations about possible extensions of our construction to all loop orders are given. We also match our results with the strong coupling predictions in the classical (Frolov-Tseytlin) limit.