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This is the first in a series of papers which ultimately aims on improving onthe present estimates on the axion mass by modeling the topologicalnon-perturbative QCD dynamics. Axions couple to instantons and their mass isset by the topological susceptibility whose temperature dependence we estimatewith the interacting instanton liquid model (IILM). Since accurate finitetemperature instanton calculations have problems and do not considerfluctuations in the topological charge, we develop an improved grand canonicalversion of the IILM to study topological fluctuations in the quark gluonplasma. In this first paper we will calibrate the model against the topologicalsusceptibility at zero temperature, in the chiral regime of physical quarkmasses.

nuclear physics b

The topological susceptibility from grand canonical simulations in the  interacting instanton liquid model: zero temperature calibrations and  numerical framework