5 papers
An edge-bicolored graph approach to the Ising model on random regular graphs
Michael Borinsky, Shiyue Ren, Maximilian Wiesmann
We give an exact solution of the ferromagnetic Ising model on a random regular graph ensemble via analytic combinatorics. Expressing the partition function as the generating functi…
Tropicalized quantum field theory and global tropical sampling
Michael Borinsky
We explain how to tropicalize scalar quantum field theory and show that tropicalized massive scalar quantum field theory is exactly solvable. This exact solution manifests as a non…
Asymptotic number of edge-colored regular graphs
Michael Borinsky, Chiara Meroni, Maximilian Wiesmann
We prove a formula for the asymptotic number of edge-colored regular graphs with a prescribed set of allowed vertex-incidence structures. The formula depends on specific critical p…
Feynman integrals at large loop order and the - distribution
Michael Borinsky, Andrea Favorito
We find empirically that the value of Feynman integrals follows a - distribution at large loop order. This result opens up a new avenue towards the large-order behavior i…
Tropical sampling from Feynman measures
Michael Borinsky, Mathijs Fraaije
We introduce an algorithm that samples a set of loop momenta distributed as a given Feynman integrand. The algorithm uses the tropical sampling method and can be applied to evaluat…