Inhalt

•  
   Acknowledgements
•  
   Abstract
•  
   Table of Contents
•  
   Preface
•  
  Theoretical Framework
•  
   The Theory of Quantum Chromodynamics
•  
  Symmetries of QCD
•  
   Chiral Symmetry
•  
   Spontaneous Breaking of Chiral Symmetry
•  
   QCD Phase Diagram
•  
  Lattice Quantum Chromodynamics
•  
   Lattice Regularization
•  
   A Naïve discretization - Gluons
•  
   A Naïve Discretization - Fermions
•  
   Doubling Problem
•  
   Staggered Fermions
•  
   Finite Temperature and Density
•  
  Strong Coupling Limit
•  
   Dual Representation of Strong Coupling QCD
•  
   High Temperature Limit
•  
   Numerical Approaches and Statistics
•  
   Markov Chain Monte Carlo
•  
   Error Analysis
•  
  Continuous Time Limit
•  
   Definition of the Continuous Time Limit
•  
  Towards the Continuous Time Partition Function
•  
   Factorization and Grassmann constraint
•  
   Carrying out the CT limit
•  
   Baryon resummation and mesonic vertices
•  
   Vertices for Nc=3
•  
   Continous Time Partition Function
•  
   Hamiltonian Formulation
•  
  Continuous Time Worm Algorithm
•  
   Two essential concepts
•  
   Poisson Process
•  
   Emission and Absorption Sites
•  
   Algorithm Details
•  
   Worm Propagation
•  
   Measurement of Monomer Two-point Functions
•  
   Benefits of a Continuous Time Worm Algorithm
•  
  Continuous Time Crosschecks and Results
•  
  Observables in the Dual representation
•  
   Discrete Time Observables
•  
   Continuous Time Observables
•  
   Crosschecks
•  
  Results at T=0
•  
   Determination of
•  
   Pion Decay Constant
•  
   Chiral Condensate
•  
  Phase Diagram
•  
   Pressure and Energy Density in the B-T plane
•  
   Determination of Tc
•  
  Temporal Correlators
•  
   Foundation of Hadron Correlators
•  
   Zero momentum projection
•  
   Mass extraction
•  
   Staggered Meson Correlators
•  
   Staggered Phase Factors
•  
   Staggered Correlation Function
•  
   Discrete Time Mesonic Correlators
•  
   Continuous Time Meson Correlators
•  
   Pole Masses from Correlated Fits
•  
   Construct estimators
•  
   Multiple State Fits
•  
   Mass plateau
•  
   Pole Masses from Discrete Time
•  
   Pole Masses from Continuous Time
•  
   Variation of Bins
•  
   Finite Chemical Potential
•  
   Towards Transport Coefficients
•  
   Discussion
•  
   Taylor Expansion
•  
   Taylor Expanding the Pressure
•  
   Exact enumeration in two dimensions
•  
  Taylor coefficients in 3+1 dimensions
•  
   Naïve approach
•  
   Polymer resummation
•  
   Histograms in the Polymer Number
•  
   Inflection Points
•  
   Radius of Convergence
•  
   Reconstruction of the Pressure
•  
   Discussion
•  
   Conclusion and Outlook
•  
   Bibliography
•  
   List of Figures
•  
   List of Figures
•  
   List of Tables
•  
   List of Tables
•  
  Appendix
•  
  ``Exact'' Continuous Time Partition Function for 2CT Lattice.
•  
   Numeric approach
•  
   Combinatorial approach
•  
   Grassmann Integration
•  
   Quantum Numbers
•  
   Miscellaneous Plots