Towards the application of the maximum entropy method to finite temperature Upsilon spectroscopy

According to the Narnhofer Thirring Theorem [I] interacting systems at fini te temperature cannot be described by particles with a sharp dispersion law . It is therefore mandatory to develop new methods to extract particle mass es at finite temperature. The Maximum Entropy method offers a path to obtai n the spectral function of a particle correlation function directly. We hav e implemented the method and tested it with zero temperature Y correlation functions obtained from an NRQCD simulation. Results for different smearing functions are discussed.