Dynamical mass generation of vector mesons from QCD trace anomaly

研究成果: Article査読

2 被引用数 (Scopus)

抄録

Mass formulas for the vector mesons written in terms of the gluon condensate, i.e., the trace anomaly in quantum chromodynamics (QCD), are derived on the basis of finite energy QCD sum rules. We utilize sum rules with sn and sn+1/2 weights, which relate the energy-weighted spectral sums to the vacuum expectation values of certain commutation relations. After evaluating the commutation relations, the sum rules with sn weights are reduced to the familiar ones obtained from the operator product expansion (OPE). On the other hand, the sum rules with sn+1/2 weights cannot be derived from OPE. They give new relations between the spectral sums and QCD vacuum fluctuations. To derive a simple mass formula, we adopt the pole+continuum ansatz for the spectral function, and we solve coupled equations given by the sum rules with s0,1 weights and the new sum rule with s1/2 weight. Application of our approach to the axial-vector meson is also discussed.

本文言語English
論文番号036007
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
88
3
DOI
出版ステータスPublished - 2013 8 20
外部発表はい

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)

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