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
