Feynman integrals are complicated objects and it is generally hard to evaluate them analytically. However, if their inherent mathematical structure is fully put to use, these integrals turn out to be remarkably well-suited for numerical evaluation. Feynman integrals with up to 30 propagators can be integrated quickly. I will illustrate how these tropical geometric structures can be employed, explain the key algorithmic step, tropical sampling, in detail and show first empirical results on the large loop behaviour of the beta function in D = 4 ϕ4 based on numerical computations up to 15 loops.
This video was produced by the University of Münster, as part of the workshop From perturbative to non-perturbative QFT.
