Quantum anomalies and some recent developments

TL;DR

This paper reviews recent progress in understanding quantum anomalies, focusing on path integrals, bosonization, lattice chiral anomalies, and their connections to black hole radiation, highlighting key theoretical developments over the past decade.

Contribution

It summarizes recent advances in quantum anomaly research, including lattice treatments and connections to black hole physics, providing a comprehensive overview of current theoretical progress.

Findings

Clarified the role of local counter terms in 2D bosonization

Discussed lattice approaches to chiral anomaly and index theorem

Explored links between 2D anomalies and black hole radiation

Abstract

Some of the developments related to quantum anomalies and path integrals during the past 10 years are briefly discussed. The covered subjects include the issues related to the local counter term in the context of 2-dimensional path integral bosonization and the treatment of chiral anomaly and index theorem on the lattice. We also briefly comment on a recent analysis of the connection between the two-dimensional chiral anomalies and the four-dimensional black hole radiation.