<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Exploring Phase Diagrams with Functional\r\nRenormalization and Artificial Neural Networks:\r\nFrom the Hubbard Model\r\nto Lattice Gauge Theory"^^ . "This thesis is dedicated to provide physicists with new and improved techniques to\r\nexamine phase diagrams and phase transitions.\r\nOne the one hand, an analysis of the effects of different regularization schemes in\r\nfunctional renormalization group calculations is provided. Building on this knowledge,\r\nan investigation of the phase diagram of the Hubbard-Model on the square\r\nlattice is performed using the functional renormalization group. The calculation\r\nreveals leading instabilities in the d-wave superconducting and different antiferromagnetic\r\nchannels. In the symmetry broken phases there are a changing Fermi\r\nsurface geometry, coexistence phases of d-wave superconductivity and antiferromagnetism\r\nas well as a mutual tendency of superconductivity and antiferromagnetism\r\nto repel each other.\r\nOn the other hand, a scheme to discover phase transitions using unsupervised\r\nartifcial neural networks is developed. Further, a method to interpret artifcial\r\nneural networks is introduced. These methods are applied to systems ranging from\r\nthe two dimensional Ising Model to four dimensional SU(2) lattice gauge theory.\r\nThey find the existence of different phases, calculate phase boundaries and derive\r\nthe explicit formulas of the quantities by which the neural network distinguishes\r\nbetween phases. It turns out that these quantities are order parameters and other\r\nthermodynamic quantities."^^ . "2018" . . . . . . . "Sebastian Johann"^^ . "Wetzel"^^ . "Sebastian Johann Wetzel"^^ . . . . . . "Exploring Phase Diagrams with Functional\r\nRenormalization and Artificial Neural Networks:\r\nFrom the Hubbard Model\r\nto Lattice Gauge Theory (PDF)"^^ . . . "Thesis.pdf"^^ . . . "Exploring Phase Diagrams with Functional\r\nRenormalization and Artificial Neural Networks:\r\nFrom the Hubbard Model\r\nto Lattice Gauge Theory (Other)"^^ . . . . . . "indexcodes.txt"^^ . . "HTML Summary of #25528 \n\nExploring Phase Diagrams with Functional \nRenormalization and Artificial Neural Networks: \nFrom the Hubbard Model \nto Lattice Gauge Theory\n\n" . "text/html" . . . "530 Physik"@de . "530 Physics"@en . .