論文

査読有り
2014年4月7日

Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism

Physical Review D - Particles, Fields, Gravitation and Cosmology
  • Nodoka Yamanaka
  • ,
  • Shotaro Imai
  • ,
  • Takahiro M. Doi
  • ,
  • Hideo Suganuma

89
7
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevD.89.074017
出版者・発行元
American Physical Society

We calculate the scalar, axial, and pseudoscalar charges of the quark in the Schwinger-Dyson formalism of Landau gauge QCD. It is found that the dressed quark-scalar density of the valence quark is significantly enhanced against the bare-quark contribution, and the result explains qualitatively the phenomenologically known value of the pion-nucleon sigma term and also that given by lattice QCD. Moreover, we show that the Richardson's interquark potential suppresses the quark-scalar density in the Higashjima-Miransky approximation. This fact suggests that the quark-scalar density is an observable that is sensitive to quark confinement. For the quark axial charge, we find that it is suppressed due to the gluon dynamics. The result of the quenched analysis agrees qualitatively with the experimental data of the isovector axial coupling constant gA. We show that the suppression of the quenched axial charge is due to a mechanism similar to that of the quark tensor charge. In the Schwinger-Dyson equation with the leading unquenching quark-loop contribution the quark axial charge is more suppressed, due to the anomaly effect. The quark pseudoscalar density is found to be large, and is divergent as the bare quark becomes massless. This result is in agreement with the phenomenological current algebraic analysis, and explains well the dominance of the pion-pole contribution. © 2014 American Physical Society.

リンク情報
DOI
https://doi.org/10.1103/PhysRevD.89.074017
ID情報
  • DOI : 10.1103/PhysRevD.89.074017
  • ISSN : 1550-2368
  • ISSN : 1550-7998
  • SCOPUS ID : 84898638848

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