Speaker
Description
We study position-space Feynman integrals with generic propagator powers in one and two dimensions. We show that track integrals at any loop order are completely fixed by the recently found Phat-symmetries of Yangian type, and we prove that these symmetries can be derived from the framework of Aomoto–Gelfand hypergeometric functions. We also show that a ‘spectral transform’ from the integrability toolbox is particularly efficient for the direct evaluation of position-space tree integrals in lower dimensions. We demonstrate the method’s applicability to conformal integrals. Finally, we provide a straightforward recipe to read off the 2D integrals from their 1D counterparts.
This talk is based on arXiv:2509.26305, written with F. Loebbert, A. Pitters, and S.F. Stawinski.
