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28 March 2024
 
  » arxiv » hep-ph/0411181

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Magnetic susceptibility of the QCD vacuum
Hyun-Chul Kim ; M. Musakhanov ; M. Siddikov ;
Date 13 Nov 2004
Journal Phys.Lett. B608 (2005) 95-106 DOI: 10.1016/j.physletb.2004.12.080
Subject hep-ph
AbstractWe 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: $chi_{u,d}< ipsi_{u,d}^dagger psi_{u,d}>_0 sim 40sim45 { m MeV}$, while $chi_{s}< ipsi_s^dagger psi_s >_0 simeq 6sim 10 { m MeV}$ with the quark condensate $_0$.
Source arXiv, hep-ph/0411181
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