<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Resolving the QCD phase structure"^^ . "This thesis discusses the quantitative description of the phase structure of Quantum Chromo-\r\ndynamics (QCD). We find that, in strongly correlated theories such as QCD, even a qualitative\r\ninvestigation of the phase structure can require highly quantitative methods. Hence, the de-\r\nvelopment of a method with systematic error control is essential. In the present work, we use\r\nfunctional renormalisation group (fRG) method to this aim. This work focusses on three ideas:\r\nFirstly, we identify quantitatively dominating and sub-leading scattering-processes in our\r\napproximations. This allows a formulation of low energy effective theories of the four-quark\r\ninteraction, as well as the description of gluon condensation. For the former, we present results\r\nfor meson and quark masses. The latter provides an estimate of the Yang-Mills mass gap.\r\nSecondly, we further develop the use of highly precise numerical methods from fluid-dynamics\r\nin the fRG. In particular we use Discontinuous Galerkin methods, which are able to capture\r\nshock-development. Shock-waves are found to play a big role in a possible creation-mechanism\r\nof first-order phase transitions. Lastly, we focus on general RG-transformations (gRGt). For\r\nexample, they allow a real time formulation of fRG flows and hence give access to spectral\r\nfunctions. Furthermore, we use them to formulate complex RG-flows, which enables us to\r\nlocate Lee-Yang singularities in the complex plane and extrapolate the position of (real) phase\r\ntransitions. Finally, we also use gRGts to formulate significant qualitative improvements of\r\ncurrent fRG approximation schemes by means of dynamical field transformations."^^ . "2023" . . . . . . . "Friederike Juliane"^^ . "Ihssen"^^ . "Friederike Juliane Ihssen"^^ . . . . . . "Resolving the QCD phase structure (PDF)"^^ . . . "DissertationIhssen-pdfA1a.pdf"^^ . . . "Resolving the QCD phase structure (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Resolving the QCD phase structure (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Resolving the QCD phase structure (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Resolving the QCD phase structure (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Resolving the QCD phase structure (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #33504 \n\nResolving the QCD phase structure\n\n" . "text/html" . . . "530 Physik"@de . "530 Physics"@en . .