Time-reversal and parity conservation for gravitating quarks

The complex mass term of a quark does not violate time-reversal or parity in gravitational interactions, in spite of an axial anomaly.Comment: 4 pages, to appear in Classical and Quantum Gravit

Zeta function regularization, anomaly and complex mass term

If the zeta function regularization is used and a complex mass term considered for fermions, the phase does not appear in the fermion determinant. This is not a drawback of the regularization, which can recognize the phase through source terms, as demonstrated by the anomaly equation which is explicitly derived here for a complex mass term.Comment: 7 page

Quantization of Gauge Theories with Anomalies

In this talk, we briefly review the basic concepts of anomalous gauge theories. It has been known for some time how theories with local anomalies can be handled. Recently it has been pointed out that global anomalies, which obstruct the quantization of certain gauge theories in the temporal gauge, get bypassed in canonical quantization.Comment: Invited Talk at DAE Symposium, Santiniketan, 9 pages, LATE

Axion field induces exact symmetry

While no regularization is consistent with the anomalous chiral symmetry which occurs for massless fermions, the artificial axion-induced symmetry for massive fermions is shown here to be consistent with a standard regularization, even in curved spacetime, so that it can be said to have no anomaly in gauge or gravitational fields. Implications for theta terms are pointed out.Comment: 5 page