Inhalt

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   List of Publications
•  
   Introduction
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  QCD and its Symmetries
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   The QCD Lagrangian and the path integral formulation
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   Gauge symmetry
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   Chiral symmetry
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   The axial anomaly
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   QCD phase diagram in the chiral limit
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  Topology
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   Compactifying spacetime
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   Classification of topological sectors
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   Instantons
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   Properties of the topological charge
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   The sphaleron rate
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  Lattice QCD
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   Discretizing QCD
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   Fermion doublers and the Wilson discretization
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   The staggered discretization
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   The Ginsparg-Wilson relation and the overlap Dirac operator
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   The discretized field strength tensor
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   Topological charge
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   The gradient flow
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   The ParallelGPUCode
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   Memory management
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   Indexing
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   Parallelizing using functor syntax
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   Communication techniques
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   SiteComm and derived classes
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   Lattice container
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   Coalesced memory access
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   Getting started
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   Status summary and benchmarks
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  Topological Susceptibility at Varying Light Quark Masses
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   Lattice setup
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   Extracting the topological susceptibility
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   Volume dependence
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   Mass dependence
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   Temperature dependence
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   Discretization effects
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   Conclusion
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   The Overlap Dirac Eigenvalue Spectrum
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   Numerical setup
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   Accelerating the overlap Dirac eigenvalue measurements
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   Analyzing the overlap eigenvalue spectrum
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   Quantifying `3́9`42`"̇613A``45`47`"603AUA(1) breaking in the chiral limit
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   Conclusion
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   The qq Correlation Function and the Sphaleron Rate
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   Numerical setup
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   Determining the topological charge density
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   Continuum and flow-time extrapolation
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   Interpolation
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   Continuum extrapolation
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   Flow-time extrapolation
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   The sphaleron rate
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   Conclusion
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   Conclusion
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  Appendix
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   Gamma matrices
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   Pure gauge
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   Bibliography
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   Acknowledgements