Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-24
Nucl.Phys. B562 (1999) 315-329
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTex, no figures. Discussion of photon triangle anomaly extended, references added. To appear in Nuclear Physics B
Scientific paper
10.1016/S0550-3213(99)00561-1
We construct the three point function involving an axial vector current and two energy-momentum tensors for four dimensional conformal field theories. Conformal symmetry determines the form of this three point function uniquely up to a constant factor if the necessary conservation conditions are imposed. The gravitational axial anomaly present on a curved space background leads to a non-zero contribution for the divergence of the axial current in this three point function even on flat space. Using techniques related to differential regularisation which guarantee that the energy-momentum tensor is conserved and traceless, we calculate the anomaly in the three point function directly. In this way we relate the overall coefficient of the three point function to the scale of the gravitational axial anomaly. We check our results by applying them to the examples of the fermion and photon axial currents.
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