1/N{sub c} corrections to the magnetic susceptibility of the QCD vacuum
- Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
- Department of Physics and Nuclear Physics and Radiation Technology Institute (NuRI), Pusan National University, 609-735 Busan (Korea, Republic of)
- Theoretical Physics Department, National University of Uzbekistan, Tashkent 700174 (Uzbekistan)
We investigate the magnetic susceptibility of the QCD vacuum with the 1/N{sub 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{sub 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 O(1/N{sub 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: {chi}<i{psi}{sup {dagger}}{psi}>{sub 0}{approx_equal}35-40 MeV with the quark condensate <i{psi}{sup {dagger}}{psi}>{sub 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.
- OSTI ID:
- 21023971
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 76, Issue 11; Other Information: DOI: 10.1103/PhysRevD.76.116007; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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