Magnetic susceptibility of the QCD vacuum

Details Magnetic susceptibility of the QCD vacuum Magnetic susceptibility of the QCD vacuum

2004-11-12

arxiv.org/abs/hep-ph/0411181v1

Phys.Lett. B608 (2005) 95-106

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 2 figures

Scientific paper

10.1016/j.physletb.2004.12.080

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 $Z[V,T,\hat{m}]$ in the presence of the current quark mass $\hat{m}$ 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: $\chi_{u,d}< i\psi_{u,d}^\dagger \psi_{u,d}>_0 \sim 40\sim45 {\rm MeV}$, while $\chi_{s}< i\psi_s^\dagger \psi_s >_0 \simeq 6\sim 10 {\rm MeV}$ with the quark condensate $_0$.

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