Course information

Lecturers: Felipe Attanasio, Jan M. Pawlowski
Date and time: Tuesdays, 11:15 - 13:00 [LSF]
Location: Philosophenweg 12 / R 106

Description

This is a continuation of the “Lattice Field Theory” course, given in the winter semester of 2021/2022. The main idea of this course is to have an excursion over modern, but accessible, methods used in lattice field theory. This will be done with an eye on specific use cases, whose implementation will be discussed in the “Application” lectures.

Outline

0. Review of lattice QCD, and where modern methods are needed
1. Hybrid Monte Carlo
2. Matrix exponentials
3. Application I: finding the thermal transition in SU(3) Yang-Mills
4. Solvers I: CG and even-odd preconditioning
5. Solvers II: Mixed precision CG
6. Application II: Phase transitions on the 1+1d Yukawa model
7. Parallelisation I: splitting the lattice into sub-lattices
8. Parallelisation II: basics of parallel programming
9. Parallelisation III: parallel lattice simulations
10. Application III: Looking for volume scaling of the susceptibility
11. Considerations on memory access and cache locality (tentative topic)

Bibliography

• DeGrand, DeTar, Lattice methods for quantum chromodynamics, World Scientific
• Gattringer, Lang, Quantum chromodynamics on the Lattice, Springer
• Montvay, Münster, Quantum fields on a lattice, Cambridge University Press
• Rothe, Lattice gauge theories: An Introduction, World Scientific
• Creutz, Quarks, Gluons and Lattices, Cambridge University Press
• Saad, Iterative methods for sparse linear systems, SIAM – first edition available in the author’s webpage
• Moler, Van Loan, Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later, SIAM Review 45, 1 (2003) 3–49

Useful pages:

• Rookie HPC’s MPI reference