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arXiv · hep-th/9511148

Cancellation of quantum mechanical higher loop contributions to the gravitational chiral anomaly

Andrew K. Waldron
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Abstract

We give an explicit demonstration, using the rigorous Feynman rules developed in~$\0^{1}$, that the regularized trace $\tr γ_5 e^{-β\Dslash^2}$ for the gravitational chiral anomaly expressed as an appropriate quantum mechanical path integral is $β$-independent up to two-loop level. Identities and diagrammatic notations are developed to facilitate rapid evaluation of graphs given by these rules.

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Andrew K. Waldron. 1995-11-21. Cancellation of quantum mechanical higher loop contributions to the gravitational chiral anomaly. https://doi.org/10.1103/physrevd.53.5692

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