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  Algebraic Structures in the Coupling of Gravity to Gauge Theories

Prinz, D. (2017). Algebraic Structures in the Coupling of Gravity to Gauge Theories. Master Thesis.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-DC64-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-197F-4
Genre: Thesis

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 Creators:
Prinz, David1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
 Abstract: 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.

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 Dates: 2018-12-242017
 Publication Status: Published in print
 Pages: 50
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1812.09919
URI: http://arxiv.org/abs/1812.09919
 Degree: Master

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