Magnetic susceptibility of the QCD vacuum

2004/11/12 by Hyun-Chul Kim, M. Musakhanov, M.M. Musakhanov +2 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.physletb.2004.12.080

published as Phys.Lett. B608 (2005) 95-106 · 13 pages, 2 figures

arxiv created 2004/11/12 · openalex publication_date 2005/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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,m] in the presence of the current quark mass 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: χ_u,d< iψ_u,d^† ψ_u,d>₀ ∼ 40∼45 \rm MeV, while χ_s< iψ_s^† ψ_s >₀ ≃ 6∼ 10 \rm MeV with the quark condensate <iψ^† ψ>₀.

Citations

• Instantons in QCD

Cited by

• ILM gluons in perturbative QCD
• QCD isospin breakingχPT low-energy constants from the instanton vacuum
• Low energy constants ofχPTfrom the instanton vacuum model
• Magnetic susceptibility of QCD at zero and at finite temperature from the lattice

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