Abstract
We investigate the magnetic susceptibility of the QCD vacuum, based on the instanton vacuum. Starting from the instanton liquid model for the instanton vacuum, we derive the light-quark partition function Z[V,T,mˆ] in the presence of the current quark mass mˆ as well as the external Abelian vector and tensor fields. We calculate a two-point correlation function relevant for the magnetic susceptibility and derive it beyond the chiral limit. We obtain for the different flavors the following magnetic susceptibility: χu,d〈iψu,d†ψu,d〉0∼40–45MeV, while χs〈iψs†ψs〉0≃6–10MeV with the quark condensate 〈iψ†ψ〉0.
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