Physics
Scientific paper
Mar 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..10..321l&link_type=abstract
General Relativity and Gravitation, vol. 10, Mar. 1979, p. 321-334. Research supported by the Science Research Council.
Physics
Gravitation Theory, Gravitational Effects, Gravity Anomalies, Points, Space-Time Functions, Perturbation Theory, Quantum Electrodynamics, Theoretical Physics
Scientific paper
A prescription is given for point splitting in a curved space-time background which is a natural generalization of that familiar in quantum electrodynamics and Yang-Mills theory. It is applied (to establish its validity) to the verification of the gravitational anomaly in the divergence of a fermion axial current. Notable features of the prescription are that it defines a point-split current that can be differentiated straightforwardly, and that it involves a natural way of averaging (four-dimensionally) over the directions of point splitting. The method can extend directly from the spin-1/2 fermion case treated to other cases, e.g., to spin-3/2 Rarita-Schwinger fermions.
Liggatt A. J. P.
Macfarlane Alan J.
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