Adler-Bardeen theorem and vanishing of the gauge beta function

Adler-Bardeen theorem and vanishing of the gauge beta function

The proof of the non-renormalization theorem for the gauge anomaly of four-dimensional theories is extended to the case of models with a vanishing one-loop gauge beta function. Supported in part by the Swiss National Science Foundation.

Nonperturbative Adler-Bardeen Theorem

1.1 Anomalies in QFT. The chiral anomaly appears as a quantum correction to the conservation of the axial current for massless fermions. A crucial property is the anomaly nonrenormalization, which says that the chiral anomaly is given exactly by its lower order contribution. This property was proved first for QED4 in [AB] in the well known Adler-Bardeen Theorem: it was shown that there is a dra...

Adler-Bardeen theorem and cancellation of gauge anomalies to all orders in nonrenormalizable theories

Vanishing of Ext-Functors and Faltings’ Annihilator Theorem for relative Cohen-Macaulay modules

et  be a commutative Noetherian ring,  and  two ideals of  and  a finite -module. In this paper, we have studied the vanishing and relative Cohen-Macaulyness of the functor for relative Cohen-Macauly filtered modules with respect to the ideal  (RCMF). We have shown that the for relative Cohen-Macaulay modules holds for any relative Cohen-Macauly module with respect to  with ........

Perverse Cohomology and the Vanishing Index Theorem

The characteristic cycle of a complex of sheaves on a complex analytic space provides weak information about the complex; essentially, it yields the Euler characteristics of the hypercohomology of normal data to strata. We show how perverse cohomology actually allows one to extract the individual Betti numbers of the hypercohomology of normal data to strata, not merely the Euler characteristics...