Conformal Symmetry and the Three Point Function for the Gravitational Axial Anomaly

Details Conformal Symmetry and the Three Point Function for the Gravitational Axial Anomaly Conformal Symmetry and the Three Point Function for the Gravitational Axial Anomaly

1998-07-17

arxiv.org/abs/hep-th/9807128v2

Phys.Rev. D59 (1999) 025004

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 5 figures, RevTex, Minor changes, Final version for Phys. Rev. D

Scientific paper

10.1103/PhysRevD.59.025004

This work presents a first study of a radiative calculation for the gravitational axial anomaly in the massless Abelian Higgs model. The two loop contribution to the anomalous correlation function of one axial current and two energy-momentum tensors, , is computed at an order that involves only internal matter fields. Conformal properties of massless field theories are used in order to perform the Feynman diagram calculations in the coordinate space representation. The two loop contribution is found not to vanish, due to the presence of two independent tensor structures in the anomalous correlator.

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