Anomaly Poles as Common Signatures of Chiral and Conformal Anomalies

Details Anomaly Poles as Common Signatures of Chiral and Conformal Anomalies Anomaly Poles as Common Signatures of Chiral and Conformal Anomalies

2009-09-24

arxiv.org/abs/0909.4522v4

Phys.Lett.B682:322-327,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 4 figures revised final version, to appear on Phys. Lett. B

Scientific paper

10.1016/j.physletb.2009.11.013

One feature of the chiral anomaly, analyzed in a perturbative framework, is the appearance of massless poles which account for it. They are identified by a spectral analysis of the anomaly graph and are usually interpreted as being of an infrared origin. Recent investigations show that their presence is not just confined in the infrared, but that they appear in the effective action under the most general kinematical conditions, even if they decouple in the infrared. Further studies reveal that they are responsible for the non-unitary behaviour of these theories in the ultraviolet (UV) region. We extend this analysis to the case of the conformal anomaly, showing that the effective action describing the interaction of gauge fields with gravity is characterized by anomaly poles that give the entire anomaly and are decoupled in the infrared (IR), in complete analogy with the chiral case. This complements a related analysis by Giannotti and Mottola on the trace anomaly in gravity, in which an anomaly pole has been identified in the corresponding correlator using dispersion theory in the IR. Our extension is based on an exact computation of the off-shell correlation function involving an energy-momentum tensor and two vector currents (the gauge-gauge-graviton vertex) which is responsible for the appearance of the anomaly.

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