2019/01/03 by Marco S. Bianchi
Computer Science · Mathematics · Physics and Astronomy · #Ansatz #Conjecture #Constant (computer programming) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #Spinning #Spins #Structure constants #hep-th
paper · pdf · doi:10.1007/jhep04(2019)059
21 pages
arxiv created 2019/01/03 · openalex created_date 2019/01/11 · openalex publication_date 2019/04/01 · arxiv updated 2019/05/01 · openalex updated_date 2026/08/05
A bstract I consider three-point functions of one protected and two unprotected twist-two operators ccwith spin in N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:math> SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on the spins of the operators. Using such an ansatz and some input from explicit perturbative results, I fix completely various infinite sets of one-loop structure constants of these three-point functions. Finally, I determine the two-loop corrections to the structure constants for a few fixed values of the spins of the operators.