Computing Spin-Corrections to the Static Potential using the Multilevel Algorithm

Modern studies in hadron spectroscopy using for example the Born-Oppenheimer approximation require accurate descriptions for heavy quark potentials. One type of relativistic corrections are spin-dependent potentials, which cause the fineand hyperfine splitting in heavy quarkonia spectra. These corrections require colour field correlation functions from lattice computations. Unfortunately, Monte Carlo simulations for these correlation functions suffer from a small signal-to-noise ratio at intermediate and large loop sizes. For Polyakov loops, the multilevel algorithm is already successfully in use and led to significant improvements. In this thesis, we try to reproduce results from reference [1] and investigate the multilevel algorithm for Wilson loops. We found, that the multilevel algorithm leads to a small signal-to-noise ratio and gives access to large quark separations.