Quantum anomalies and some recent developments

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.

12 pages. Invited talk given at PAQFT08, November 27-November 29, 2008, Nanyang Technological University, Singapore

References in corpus (8)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• The index theorem in QCD with a finite cut-off
• Relationship between Hawking Radiation and Gravitational Anomalies
• Hawking Radiation and Covariant Anomalies
• Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice
• Ward Identities in the Derivation of Hawking Radiation from Anomalies
• Relation $Tr{\gamma }_5=0$ and the index theorem in lattice gauge theory
• Anomalies, Local Counter Terms and Bosonization

Cited by in corpus (4)

• Hawking Radiation from Kerr-Newman Black Hole and Tunneling Mechanism
• Hawking fluxes, Fermionic currents, W(1+infinity) algebra and anomalies
• Capacitor Discharge and Vacuum Resistance in Massless QED_2
• Back reaction, covariant anomaly and effective action