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math-ph2026
Group Contractions via Infinite-Dimensional Lie Theory
David Prinz, Alexander Schmeding, Philip K. Schwartz
Contractions are a procedure to construct a new Lie algebra out of a given one via a singular limit. Specifically, the Ä°nönü--Wigner construction starts with a Lie algebra $\mat…
math-ph2025
Multiplicative Renormalization in Causal Perturbation Theory
Jonah Epstein, Arne Hofmann, David Prinz
We construct multiplicative renormalization for the Epstein--Glaser renormalization scheme in perturbative Algebraic Quantum Field Theory: To this end, we fully combine the Connes-…
math-ph2025
Cancellation Identities and Renormalization
David Prinz
We construct a manifest gauge invariant renormalization framework by first introducing a perturbative BRST Feynman graph complex and then combining it with Connes--Kreimer renormal…