3 research outputs found
Infra-Red Asymptotic Dynamics of Gauge Invariant Charged Fields: QED versus QCD
The freedom one has in constructing locally gauge invariant charged fields in
gauge theories is analyzed in full detail and exploited to construct, in QED,
an electron field whose two-point function W(p), up to the fourth order in the
coupling constant, is normalized with on-shell normalization conditions and is,
nonetheless, infra-red finite; as a consequence the radiative corrections
vanish on the mass shell and the free field singularity is
dominant, although, in contrast to quantum field theories with mass gap, the
eigenvalue of the mass operator is not isolated. The same construction,
carried out for the quark in QCD, is not sufficient for cancellation of
infra-red divergences to take place in the fourth order. The latter
divergences, however, satisfy a simple factorization equation. We speculate on
the scenario that could be drawn about infra-red asymptotic dynamics of QCD,
should this factorization equation be true in any order of perturbation theory.Comment: 30 pages, RevTex, 8 figures included using graphic