5 papers
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…
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-…
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…
Symmetric Ghost Lagrange Densities for the Coupling of Gravity to Gauge Theories
David Prinz
We derive and present symmetric ghost Lagrange densities for the coupling of General Relativity to Yang--Mills theories. The graviton-ghost is constructed with respect to the linea…
The BRST Double Complex for the Coupling of Gravity to Gauge Theories
David Prinz
We consider (effective) Quantum General Relativity coupled to the Standard Model (QGR-SM) and clarify whether graviton-ghosts couple to matter particles. To this end, we examine th…