title: Non-Perturbative Aspects of Quantum Field Theory: From the Quark-Gluon Plasma to Quantum Gravity creator: Christiansen, Nicolai subject: ddc-500 subject: 500 Natural sciences and mathematics subject: ddc-530 subject: 530 Physics description: In this dissertation we investigate several aspects of non-perturbative quantum field theory. Two main parts of the thesis are concerned with non-perturbative renormalization of quantum gravity within the asymptotic safety scenario. This framework is based on a non-Gaussian ultraviolet fixed point and provides a well-defined theory of quantized gravity. We employ functional renormalization group (FRG) techniques that allow for the study of quantum fields even in strongly coupled regimes. We construct a setup for the computation of graviton correlation functions and analyze the ultraviolet completion of quantum gravity in terms of the properties of the two- and three point function of the graviton. Moreover, the coupling of gravity to Yang–Mills theories is discussed. In particular, we study the effects of graviton induced interactions on asymptotic freedom on the one hand, and the role of gluonic fluctuations in the gravity sector on the other hand. The last subject of this thesis is the physics of the quark-gluon plasma. We set-up a general non-perturbative strategy for the computation of transport coefficients in non-Abelian gauge theories. We determine the viscosity over entropy ratio in SU(3) Yang–Mills theory as a function of temperature and estimate its behavior in full quantum chromodynamics (QCD). date: 2015 type: Dissertation type: info:eu-repo/semantics/doctoralThesis type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/19254/1/Dissertation_Christiansen.pdf identifier: DOI:10.11588/heidok.00019254 identifier: urn:nbn:de:bsz:16-heidok-192548 identifier: Christiansen, Nicolai (2015) Non-Perturbative Aspects of Quantum Field Theory: From the Quark-Gluon Plasma to Quantum Gravity. [Dissertation] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/19254/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng