UA(1) anomaly and $ \eta^{{\prime}}_{}$ -mass from an infrared singular quark-gluon vertex |
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Authors: | R Alkofer C S Fischer R Williams |
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Institution: | 1.Graz University, Universit?tsplatz 5,Graz,Austria;2.Institut für Kernphysik,TU Darmstadt,Darmstadt,Germany;3.Gesellschaft für Schwerionenforschung mbH,Darmstadt,Germany |
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Abstract: | The U
A(1) problem of QCD is inevitably tied to the infrared behaviour of quarks and gluons with its most visible effect being the
-mass. A dimensional argument of Kogut and Susskind showed that the mixing of the pseudoscalar flavour-singlet mesons with
gluons can provide a screening of the Goldstone pole in this channel if the full quark-quark interaction is strongly infrared
singular as ∼ 1/k
4 . We investigate this idea using previously obtained results for the Landau gauge ghost and gluon propagator, together with
recent determinations for the singular behaviour of the quark-gluon vertex. We find that, even with an infrared vanishing
gluon propagator, the singular structure of the quark-gluon vertex for certain kinematics is apposite for yielding a non-zero
screening mass. |
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Keywords: | PACS" target="_blank">PACS 11 30 Rd Chiral symmetries 11 30 Fs Global symmetries (e g baryon number lepton number) 12 38 Lg Other nonperturbative calculations 14 40 Aq " target="_blank">gif" alt="$ \pi$" align="middle" border="0"> K and mesons" target="_blank">gif" alt="$ \eta$" align="middle" border="0"> mesons |
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