The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Strongly associating fluids and biased Monte Carlo

This is the second in a series of papers that investigates the topological susceptibility in the interacting instanton liquid model (IILM); it deals with the technical issues relating to the Monte Carlo simulations that are specific to finite temperature. The IILM reduces field theory to a molecular dynamics description, and for ‘physical’ quark masses the system behaves like a strongly associating fluid. We will argue that this is a generic feature for very light Dirac quarks in a non-trivial background, described in the semi-classical approach. To get rid of unnecessary complications, we will present the ideas of biased Monte Carlo, and implement the transition probabilities, for a toy model.