Independent Invariants in Gravity and Anomaly Calculation (量子場の理論の新しい展開)

概要

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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. Some anomalies in 2 and 4 dimensional theories are systematically calculated. As for the representation of general (global SO(n)) tensors, we use a graphical one. It makes the tensor structure of invariants very transparent and makes the tensor calculation so simple.
素粒子論グループ素粒子研究編集部の論文
1995-12-20