Axial U(1) anomaly in a gravitational field via the gradient flow

Gravitational Axial Anomaly for Four Dimensional Conformal Field Theories

We construct the three point function involving an axial vector current and two energymomentum 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 con...

Witten Map and the Axial Anomaly in Noncommutative Field Theory

Using the point-splitting regularisation, we calculate the axial anomaly in an arbitrary even dimensional Non-Commutative (NC) field theory. Our result is (star) gauge invariant in its unintegrated form, to the leading order in the NC parameter. Exploiting the Seiberg Witten map, this result gets transformed to the familiar Adler-Bell-Jackiw anomaly in ordinary space-time. Furthermore, using th...

Axial anomaly of QED in a strong magnetic field and noncommutative anomaly

The Adler-Bell-Jackiw (ABJ) anomaly of a 3 + 1 dimensional QED is calculated in the presence of a strong magnetic field. It is shown that in the regime with the lowest Landau level (LLL) dominance a dimensional reduction from D = 4 to D = 2 dimensions occurs in the longitudinal sector of the low energy effective field theory. In the chiral limit, the resulting anomaly is therefore comparable wi...

The flow field around a rotor in axial descent

The Axial Anomaly Revisited *

We consider theories with gauged chiral fermions in which there are abelian anomalies, and no nonabelian anomalies (but there may be nonabelian gauge fields present). We construct an associated theory that is gauge-invariant, renormalizable, and with the same particle content, by adding a finite number of terms to the action. Alternatively one can view the new theory as arising from the origina...