27 citations · 66 across the 14 of their papers we have counts for
14 papers
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-…
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 İnönü--Wigner construction starts with a Lie algebra $\mathfr…
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…
On Perturbative Quantum Gravity with a Cosmological Constant
David Prinz
We discuss how the incorporation of a cosmological constant affects the perturbative quantization of (effective) Quantum General Relativity. To this end, we derive the gravitationa…
Renormalization of Gauge Theories and Gravity
David Prinz
We study the perturbative quantization of gauge theories and gravity. Our investigations start with the geometry of spacetimes and particle fields. Then we discuss the various Lagr…
Transversality in the Coupling of Gravity to Gauge Theories
David Prinz
We consider (effective) Quantum General Relativity coupled to the Standard Model (QGR-SM) and study its transversality. To this end, we provide all propagator and three-valent vert…
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…
Lie Theory for Asymptotic Symmetries in General Relativity: The NU Group
David Prinz, Alexander Schmeding
We study the Newman--Unti (NU) group from the viewpoint of infinite-dimensional geometry. The NU group is a topological group in a natural coarse topology, but it does not become a…
Lie Theory for Asymptotic Symmetries in General Relativity: The BMS Group
David Prinz, Alexander Schmeding
We study the Lie group structure of asymptotic symmetry groups in General Relativity from the viewpoint of infinite-dimensional geometry. To this end, we review the geometric defin…
Gravity-Matter Feynman Rules for any Valence
David Prinz
This article derives and presents the Feynman rules for (effective) Quantum General Relativity coupled to the Standard Model for any vertex valence and with general gauge parameter…
Gauge Symmetries and Renormalization
David Prinz
We study the perturbative renormalization of quantum gauge theories in the Hopf algebra setup of Connes and Kreimer. It was shown by van Suijlekom (2007) that the quantum counterpa…
Algebraic Structures in the Coupling of Gravity to Gauge Theories
David Prinz
This article is an extension of the author's second master thesis [1]. It aims to introduce to the theory of perturbatively quantized General Relativity coupled to Spinor Electrody…
The Corolla Polynomial for spontaneously broken Gauge Theories
David Prinz
In [1, 2, 3] the Corolla Polynomial was introduced as a graph polynomial in half-edge…