1/N_c corrections to the magnetic susceptibility of the QCD vacuum

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dc.creatorGoeke, Klaus
dc.creatorKim, Hyun-Chul
dc.creatorMusakhanov, M. M.
dc.creatorSiddikov, Marat
dc.date2007-08-27
dc.date2007-11-17
dc.date.accessioned2026-07-07T11:18:54Z
dc.date.available2026-07-07T11:18:54Z
dc.descriptionWe investigate the magnetic susceptibility of the QCD vacuum with the $1/N_c$ corrections taken into account, based on the instanton vacuum. Starting from the instanton liquid model we derive the gauged light-quark partition function in the presence of the current quark mass as well as of external Abelian vector and tensor fields. We consider the $1/N_c$ meson-loop corrections which are shown to contribute to the magnetic susceptibility by around 15% for the up (and down) quarks. We also take into account the tensor terms of the quark-quark interaction from the instanton vacuum as well as the finite-width effects, both of which are of order $\mathcal{O}(1/N_c)$. The effects of the tensor terms and finite width turn out to be negligibly small. The final results for the up-quarks are given as: $χ< iψ^\dagger ψ>_0 \simeq 35-40 \mathrm{MeV}$ with the quark condensate $<iψ^\dagger ψ>_0$. We also discuss the pion mass dependence of the magnetic susceptibility in order to give a qualitative guideline for the chiral extrapolation of lattice data.
dc.description18 pages, 5 figures. Final version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0708.3526
dc.identifierhttp://arxiv.org/abs/0708.3526
dc.identifierPhys.Rev.D76:116007,2007
dc.identifierdoi:10.1103/PhysRevD.76.116007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193502
dc.subjectHigh Energy Physics - Phenomenology
dc.title1/N_c corrections to the magnetic susceptibility of the QCD vacuum
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