Anomalies, Unparticles, and Seiberg Duality

Details Anomalies, Unparticles, and Seiberg Duality Anomalies, Unparticles, and Seiberg Duality

2008-05-06

arxiv.org/abs/0805.0799v1

Phys.Rev.D80:105017,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 1 figure

Scientific paper

10.1103/PhysRevD.80.105017

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.

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