Autostochastic system of coupled microwave generators

QCD vacuum tensor susceptibility and properties of transversely polarized mesons

“…Here µ is the renormalization scale (µ 2 ≃ 1 GeV 2 ) and the coefficients listed in the central parts of the last two lines correspond to the vector qγ m q , quark-gluon-quark qG µν q and the four-quark qqqq vacuum condensate contributions (see details in Appendix A, [7]). We write down these coefficients explicitly in order to reveal the discrepancy between our results and those obtained by B&O [2], who found, instead, in the last line −16 − 48 − 144 81 = −208 81 , a result larger than ours by a factor of 2.6. We conclude that in [2] there is a wrong contribution due to the quark-gluon-quark vacuum condensate.…”

“…2) we correct the previous consideration by Belyaev and Oganesyan (B&O) [2] and provide a new estimation for the vacuum tensor susceptibility (VTS) introduced in [5,6].…”

“…(Note here that due to isospin symmetry this is the same correlator which was studied in [2].) This correlator can be decomposed in invariant form factors Π ± , [1,8] Π µν;αβ (q) = Π − (q 2 )P µν;αβ…”

“…NLC approach can improve the stability and accuracy of SRs even for the case of decay constant determination where the NLC effect is of an order of the radiative correction contribution. Therefore, we revise their values in pure parity NLC SRs, despite the presence of different estimations for these quantities in literature [8,2,3], obtained by different ways. For comparison we also calculate all these quantities by the standard way, that corresponds to processing our NLC SR on the limit λ 2 q → 0.…”

“…Then, we define the duality transformation and draw its consequences for the constructed SRs. Finally, we derive a new estimation for the QCD VTS and nucleon tensor charges and discuss what is wrong in the consideration of [2].…”