Dick, Viktor: The chiral anomaly of Quantum Chromodynamics at high temperatures: lattice investigation of the overlap Dirac spectrum. 2016
Inhalt
- Introduction and Motivation
- Continuum and Lattice Quantum Chromodynamics
- The Path Integral at Finite Temperature
- Quantum Chromodynamics
- Chiral Symmetry and the Axial Anomaly
- QCD Topology
- Lattice Discretization of Gauge Invariance
- Discretizing Fermions
- Chiral Fermions on the Lattice
- The Staggered Fermion Action
- Exact Chiral Symmetry on the Lattice from Blocked Continuum Fields
- The Ginsparg-Wilson Equation and its Consequences
- Algorithmical and Numerical Details
- Setup
- Kalkreuter-Simma Algorithm
- Representations of the Spectrum
- Direct Computation with the Squared Operator
- Improvement of the Ritz Starting Candidates
- Inclusion of Partner Modes
- Chirally Projected Operator
- Implementation Details
- The Microscopic Picture of Axial Symmetry Breaking
- The Overlap Spectrum and the Axial Anomaly
- Quark Mass Dependence of the Axial Anomaly
- The Space-Time Structure of Infrared Dirac Modes
- Conclusion
- Bibliography
- Acknowledgments