Karlsruhe 2011 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Quantum Field Theory II

MP 7.3: Talk

Tuesday, March 29, 2011, 15:35–15:55, 30.45: 201

Renormalization with Flow Equations and the ABJ anomaly — •Benjamin Leveque and Christoph Kopper — Centre de Physique theorique, Ecole Polytechnique

We study the renormalizability of axial abelian gauge theory within the flow equation framework in which the theory is regularized in a way which does not respect gauge-invariance but permits to rigorously apply Euclidean path integral methods.

On the one hand we prove renormalizability in the weak sense of power counting; on the other hand we analyse the Slavnov- Taylor-identities of the theory to show that these cannot be restored after taking away the regulators as has been proven in the case of non-anomalous theories like QED. We insist on the relation between the anomaly and the infrared problem for theories with massless particles. We have no evidence that the anomaly is related to the transformation properties of the integration measure in the path integral as is sometimes asserted in the literature but rather to the properties of triangular diagramme analysed by Adler and followers.