title: The Chiral Phase Transition of QCD creator: Rennecke, Fabian subject: ddc-500 subject: 500 Natural sciences and mathematics subject: ddc-530 subject: 530 Physics description: In this thesis we study various aspects of the chiral phase transition of quantum chromodynamics (QCD). This transition is characterized by very different degrees of freedom at different energy scales. We therefore address the question how hadrons on low energy scales emerge from the underlying quark-gluon dynamics at high energies. To this end, we utilize the functional renormalization group which allows for the description of this dynamical transition within an unified framework. With this method at hand, we are able to identify the relevant degrees of freedom and to deepen our understanding of the underlying mechanisms that drive the transition from quarks and gluons to hadrons in QCD, including the mutual back reaction of these distinct phases. As a result, the properties of vector mesons, which play a prominent role for experimental investigations of the phase transition, can be derived from QCD. These insight are the foundation for the development of a low-energy model that aims at the effective description of the QCD phase diagram at finite temperature and density. There, our focus is on the quantitative precision of our results based on well-controlled expansion schemes and the effect of quark-meson scattering processes on the chiral phase transition. 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/19205/1/Dissertation_Rennecke.pdf identifier: DOI:10.11588/heidok.00019205 identifier: urn:nbn:de:bsz:16-heidok-192056 identifier: Rennecke, Fabian (2015) The Chiral Phase Transition of QCD. [Dissertation] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/19205/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng