Speaker
Description
Thanks to the integrability of Fishnet Theory it is possible to obtain exact or high-order results for various observables, eg anomalous dimensions of local operators. Such exact results are particularly valuable for discovering new "theoretical phenomena" in QFT, and making (eventually defining) characterisations of them. For instance an (relatively old) observation is that the anmalous dimension of the operator tr(ϕ³) satisfies a tower of "coaction equations" to all-loop orders in coupling, which take the form of differential equations of multipe zeta values with derivatives with respect to single zetas. I will review this observation, and then show the advantages of working with the Fourier-transformed Q-functions: The coaction relations become far more obvious, and it is possible to write an extremely compact solution at any order to a simplified Baxter equation in terms of harmonic polylogarithms.
