Dynamical mass generation of vector mesons from QCD trace anomaly

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number036007
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume88
Issue number3
DOIs
Publication statusPublished - 2013 Aug 20
Externally publishedYes

Fingerprint

vector mesons
sum rules
quantum chromodynamics
anomalies
commutation
operators
vacuum
expansion
products
condensates
poles
continuums
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Dynamical mass generation of vector mesons from QCD trace anomaly. / Hayata, Tomoya.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 88, No. 3, 036007, 20.08.2013.

Research output: Contribution to journalArticle

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