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

Abstract

This is the second in a series of papers that investigates the topological susceptibility in the interacting instanton liquid model (IILM) at finite temperature, and deals with the technical issues relating to the Monte Carlo simulations. 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 quark 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.

23 pages, 14 figures. As accepted by Nucl.Phys.B

References in corpus (3)

• An SU(2) KvBLL caloron gas model and confinement
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: chiral phase transition and axion mass
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: zero temperature calibrations and numerical framework

Cited by in corpus (2)

• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: chiral phase transition and axion mass
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: zero temperature calibrations and numerical framework