Stochastic methods for the fermion determinant in lattice quantum chromodynamics / von Jacob Friedrich Finkenrath. 2015
Content
- Introduction
- Theory
- Strong Interaction
- Feynman's Path Integral
- Gluons on the Lattice
- Wilson Fermions
- Monte Carlo Methods
- Numerical Computation of Determinants
- Definition of the Pseudofermion Integral
- Stochastic Estimation
- Fluctuations
- Fluctuations of Ratio Matrices controlled by Interpolation
- Techniques for Lattice QCD
- Mass Reweighting
- Reweighting Factor
- Mass Reweighting
- Stochastic Fluctuations
- Ensemble Fluctuations
- Applications
- Tuning of bare Mass Parameters
- Conclusion
- Partial Stochastic Multi Step Algorithm
- Fluctuation and Acceptance
- Stochastic Fluctuations
- Ensemble Fluctuations
- Numerical Tests
- Partially smeared HYP-runs
- Prospects
- Mass–Split Domain Decomposition HMC Algorithm
- Conclusion
- Appendix
- Proof of the Integral Representation
- Fluctuations
- Fluctuations of a complex Estimate
- Fluctuations by using Stochastic Estimation
- Expansion
- Comparing with nth Root
- Recursive Domain Decomposition
- Error
- Detailed Balance
- Accept–reject Steps with exact Weight
- Accept–reject Steps with partial stochastic Weight
- Accept–reject Steps with Gauge field Interpolation
- Remarks
- Plain Wilson Ensembles at = 5.5