27 citations · 27 across the 5 of their papers we have counts for
5 papers
Discretization effects in finite-volume scattering
Maxwell T. Hansen, Toby Peterken
We incorporate non-zero lattice-spacing effects into Lüscher's finite-volume scattering formalism. The new quantization condition takes lattice energies as input and returns a vers…
The Ontology of Compositeness Within Quantum Field Theory
Toby Peterken
In this work, we attempt to define a notion of compositeness compatible with Quantum Field Theory. Considering the analytic properties of the S-matrix, we conclude that there is no…
Higher partial wave contamination in finite-volume 1-to-2 transitions
Toby Peterken, Maxwell T. Hansen
In their seminal work, Lellouch and Lüscher derived a conversion factor relating a finite-volume matrix element, calculable using numerical lattice QCD, with the infinite-volume de…
Higher partial wave contamination in finite-volume formulae for 1-to-2 transitions
Maxwell T. Hansen, Toby Peterken
It is common practice to truncate the finite-volume formula for , and other one-to-two transitions, to only include the lowest partial wave, as in the original derivation b…
Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curves
Yang-Hui He, Edward Hirst, Toby Peterken
We apply machine-learning to the study of dessins d'enfants. Specifically, we investigate a class of dessins which reside at the intersection of the investigations of modular subgr…