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Schlagwörter:
High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
Zusammenfassung:
This article is an extension of the authors second master thesis [1]. It aims
to introduce the theory of perturbatively quantized General Relativity coupled
to Spinor Electrodynamics, provide the results thereof and set the notation to
serve as a starting point for further research in this direction. It includes
the differential geometric and Hopf algebraic background, as well as the
corresponding Lagrange density and some renormalization theory. Then, a
particular problem in the renormalization of Quantum General Relativity coupled
to Quantum Electrodynamics is addressed and solved by a generalization of
Furry's Theorem. Next, the restricted combinatorial Green's functions for all
two-loop propagator and all one-loop divergent subgraphs thereof are presented.
Finally, relations between these one-loop restricted combinatorial Green's
functions necessary for multiplicative renormalization are discussed. One of
those relations suggests that it is unphysical to consider the coupling to
Spinor Electrodynamics alone and instead consider the coupling to the whole
Electroweak Sector.
