Scale setting in lattice QCD with light and strange quarks using potential scales / Author: Tom Matty Bo Asmussen. Wuppertal, June 2026
Inhalt
- Acknowledgements
- Introduction
- [height=1em]Extras/Num1.png The Fellowship of the Theoretical Foundations
- Theory
- Lattice gauge fields: from continuum QCD to the Wilson action
- Lattice fermions and the fermion determinant
- Fermion fields on the lattice and gauge-covariant differences
- Wilson fermions
- Integrating out fermions: determinant and propagators
- Discretisation effects and Symanzik improvement
- Euclidean correlators and spectral representation
- Static sources and the static quark–antiquark potential
- Static sources and temporal Wilson lines
- Rectangular Wilson loops and the definition of V(r)
- Short-distance regime and potential-derived couplings
- Long-distance behaviour, string picture, and phenomenological potentials
- Additive renormalisation, force, and potential scales
- Tree-level improvement and improved distances for derivatives of V(r)
- Gradient flow and reference scales
- Smearing
- Computational methodology and ensemble properties
- [height=1em]Extras/Num2.png The Two Potential Scales
- The static quark–antiquark potential
- Static potential from Wilson loops
- Challenges of Wilson-loop measurements in full QCD
- HYP smearing
- Variational analysis and extraction of energy levels
- Treatment of open temporal boundaries
- Extraction of effective masses
- Interpolation of the static force
- Summary of scale determinations
- Scale setting and continuum extrapolation
- Strategy of the scale-setting analysis
- Chiral behaviour at fixed lattice spacing
- Global fits and continuum extrapolation in dimensionless ratios
- Systematic variations and model selection
- Final potential scale results and comparison with previous determinations
- Phenomenological applications and implications
- [height=1em]Extras/Num3.png The Return of Teper-link Smearing
- Teper-link smearing: theory and implementation
- [height=1em,width = 0.8em]Extras/Num4.png Conclusions and the Road Ahead