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math-ph2026
Extended Body Propagators
Rory O'Dwyer
Three seemingly distinct extended-body propagators devised by Ansoldi et al., Erbin et al., and Stanford et al.\ respectively arise in completely different settings, though each ca…
math-ph2023
A Geometric Picture of Perturbative QFT
Rory O'Dwyer
In previous work, a lattice scalar propagator was rigorously defined in flat space and shown to equal the known Klein-Gordon propagator of QFT. This work generalizes this lat…
math-ph2023
Relativistic Propagators on Lattices
Rory O'Dwyer
I define the lattice propagator on a very general collection of graphs, namely graphs locally isomorphic to . I then define polygonal approximation…