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arXiv · hep-th/9509073

New Formulation of Anomaly,Anomaly Formula and Graphical Representation

Shoichi Ichinose·Noriaki Ikeda
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Abstract

A general approach to anomaly in quantum field theory is newly formulated by use of the propagator theory in solving the heat-kernel equation. We regard the heat-kernel as a sort of the point-splitting regularization in the space(-time) manifold. Fujikawa's general standpoint that the anomalies come from the path-integral measure is taken. We obtain some useful formulae which are valid for general anomaly calculation. They turn out to be the same as the 1-loop counter-term formulae except some important total derivative terms. Various anomalies in 2 and 4 dimensional theories are systematically calculated. Some important relations between them are concretely shown. As for the representation of general (global SO(n)) tensors, we introduce a graphical one. It makes the tensor structure of invariants very transparent and makes the tensor calculation so simple.

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Shoichi Ichinose, Noriaki Ikeda. 1995-09-14. New Formulation of Anomaly,Anomaly Formula and Graphical Representation. https://doi.org/10.1103/physrevd.53.5932

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