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Title: 1/N{sub c} corrections to the magnetic susceptibility of the QCD vacuum

Abstract

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.

Authors:
 [1];  [2];  [3];  [1]
  1. Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
  2. Department of Physics and Nuclear Physics and Radiation Technology Institute (NuRI), Pusan National University, 609-735 Busan (Korea, Republic of)
  3. Theoretical Physics Department, National University of Uzbekistan, Tashkent 700174 (Uzbekistan)
Publication Date:
OSTI Identifier:
21023971
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.76.116007; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; CORRECTIONS; D QUARKS; EXTRAPOLATION; INSTANTONS; MAGNETIC SUSCEPTIBILITY; MEV RANGE; PARTITION FUNCTIONS; PIONS; QUANTUM CHROMODYNAMICS; QUARK CONDENSATION; QUARK-QUARK INTERACTIONS; REST MASS; TENSOR FIELDS; U QUARKS; VACUUM STATES; VECTORS

Citation Formats

Goeke, Klaus, Kim, Hyun-Chul, Musakhanov, M M, Siddikov, Marat, and Theoretical Physics Department, National University of Uzbekistan, Tashkent 700174. 1/N{sub c} corrections to the magnetic susceptibility of the QCD vacuum. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.76.116007.
Goeke, Klaus, Kim, Hyun-Chul, Musakhanov, M M, Siddikov, Marat, & Theoretical Physics Department, National University of Uzbekistan, Tashkent 700174. 1/N{sub c} corrections to the magnetic susceptibility of the QCD vacuum. United States. https://doi.org/10.1103/PHYSREVD.76.116007
Goeke, Klaus, Kim, Hyun-Chul, Musakhanov, M M, Siddikov, Marat, and Theoretical Physics Department, National University of Uzbekistan, Tashkent 700174. 2007. "1/N{sub c} corrections to the magnetic susceptibility of the QCD vacuum". United States. https://doi.org/10.1103/PHYSREVD.76.116007.
@article{osti_21023971,
title = {1/N{sub c} corrections to the magnetic susceptibility of the QCD vacuum},
author = {Goeke, Klaus and Kim, Hyun-Chul and Musakhanov, M M and Siddikov, Marat and Theoretical Physics Department, National University of Uzbekistan, Tashkent 700174},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.76.116007},
url = {https://www.osti.gov/biblio/21023971}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 76,
place = {United States},
year = {Sat Dec 01 00:00:00 EST 2007},
month = {Sat Dec 01 00:00:00 EST 2007}
}