Speaker
Description
Anomalous parity violation in four dimensions would be significant for phenomenology (baryogenesis, gravitational waves) and mathematical physics. Over the past decade, there has been a controversy in the literature as to whether free Weyl fermions give rise to (anomalous) parity violation in the trace of the energy momentum tensor; expressed by the Pontryagin densities $R\tilde R$ and $F\tilde F$. We proposed a resolution to this controversy based on the path integral, while addressing any ill-definiteness that arises.
In a subsequent work, we came to the stronger conclusion that for any theory compatible with dimensional regularisation, the Pontryagin-terms are equally absent. It is the finiteness of the diffeomorphism, the Lorentz and the gauge anomalies that prevents anomalous parity violation.
