arXiv.org > hep-ph > arXiv:0805.0799
Anomalies, Unparticles, and Seiberg Duality
Jamison Galloway, John McRaven, John Terning
(Submitted on 6 May 2008)
We calculate triangle anomalies for fermions with
non-canonical scaling dimensions. The most well known example of
such fermions (aka unfermions) occurs in Seiberg duality where the
matching of anomalies (including mesinos with scaling dimensions
between 3/2 and 5/2) is a crucial test of duality. By weakly gauging
the non-local action for an unfermion, we calculate the one-loop
three-current amplitude. Despite the fact that there are more graphs
with more complicated propagators and vertices, we find that the
calculation can be completed in a way that nearly parallels the
usual case. We show that the anomaly factor for fermionic
unparticles is independent of the scaling dimension and identical to
that for ordinary fermions. This can be viewed as a confirmation
that unparticle actions correctly capture the physics of conformal
fixed point theories like Banks-Zaks or SUSY QCD.