English

Determination of QCD Condensates Without Hadronic Spectra

High Energy Physics - Phenomenology 2009-10-28 v1

Abstract

The bounds on the values of gluon, four-quark and quark-gluon condensates are derived from the requirement of consistency of the sum rules for various correlators of the hybrid current aμ=gdˉγρG~ρμua_{\mu}=g\bar d\gamma_{\rho}\tilde G_{\rho\mu}u. The upper bound for the gluon condensate is found to be less then twice its standard value while for the four-quark condensates the violation of factorization by a factor 3-4 is allowed. The value of the quark-gluon condensate is given as a function of <αsπG2>\left<\frac{\alpha_s}{\pi} G^2\right> and <(qˉΓq)2>\left<(\bar q\Gamma q)^2\right > which for the standard values yields m02=0.63 \mboxGeV2m_0^2=0.63~\mbox{GeV}^2 . Our procedure of simultaneous solution of a number of sum rules allows the quantitative error analysis and is appropriate for condensate determination also in other cases.

Keywords

Cite

@article{arxiv.hep-ph/9407310,
  title  = {Determination of QCD Condensates Without Hadronic Spectra},
  author = {Ketino Aladashvili and Murman Margvelashvili},
  journal= {arXiv preprint arXiv:hep-ph/9407310},
  year   = {2009}
}

Comments

Latex file, 9 pages, 4 figures available on request from [email protected] INFN-FE 07-94