Advanced lattice field theories
Lectures: Tuesday 09:15-11:00, Phil 12 R 106 [LSF]
External webpage lecture course
Prerequisites: Lattice field theory
Content of lecture series
This lecture course 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 a survey of modern, but accessible,
methods used in lattice field theory. This will be done with
concentrating on specific cases, whose implementation will be discussed in the “Application” lectures.
- Review of lattice QCD, and where modern methods are needed
- Hybrid Monte Carlo
- Matrix exponentials
- Application I: finding the thermal transition in SU(3) Yang-Mills
- Solvers I: CG and even-odd preconditioning
- Solvers II: Mixed precision CG
- Application II: Phase transitions on the 1+1d Yukawa model
- Parallelisation I: splitting the lattice into sub-lattices
- Parallelisation II: basics of parallel programming
- Parallelisation III: parallel lattice simulations
- Application III: Looking for volume scaling of the susceptibility
- Considerations on memory access and cache locality (tentative topic)
Literature
- Textbooks
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
- Outline