2 citations · 3 across the 6 of their papers we have counts for
8 papers
Tropical QFT and the sine-Gordon model
Michael Borinsky, Jury Radkovski, Suriyah Rajalingam Kannagi
A tropical quantum field theory is an exactly solvable deformation limit of an ordinary QFT, governed by a non-linear partial differential equation. We use the integrable two-dimen…
On the Numerical Integration of One-Loop Cosmological Collider Signals
Michael Borinsky, Aidan Herderschee, Qianshu Lu
In a broad class of inflationary models, the leading non-Gaussian bispectrum arises from one-loop rather than tree-level processes. However, realistic one-loop contributions remain…
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…
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…
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…
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…
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 in…
Bivariate exponential integrals and edge-bicolored graphs
Michael Borinsky, Chiara Meroni, Maximilian Wiesmann
We show that specific exponential bivariate integrals serve as generating functions of labeled edge-bicolored graphs. Based on this, we prove an asymptotic formula for the number o…