Higher Order Numerical Quadrature for High-Dimensional Integration Problems in Lattice Field Theory (B03)

• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields ; Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 511713970

The project aims to investigate high-dimensional integration and quadrature methods for lattice field theories. Predicting the average value of an observable in a high-dimensional space is a challenging problem, typically addressed using Monte Carlo (MC) and Markov Chain Monte Carlo (MCMC) methods. Deterministic quadrature methods like Quasi Monte Carlo (QuasiMC) and sparse grid quadrature can however achieve higher convergence rates. The project aims to explore these advanced techniques for lattice gauge theories.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1639: NuMeriQS: Numerical Methods for Dynamics and Structure Formation in Quantum Systems
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Head: Professor Dr. Michael Griebel