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

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

1995-11-21

arxiv.org/abs/hep-th/9511148v1

Phys.Rev.D53:5692-5697,1996

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX and psfig (many figures)

Scientific paper

10.1103/PhysRevD.53.5692

We give an explicit demonstration, using the rigorous Feynman rules developed in~$\0^{1}$, that the regularized trace $\tr \gamma_5 e^{-\beta \Dslash^2}$ for the gravitational chiral anomaly expressed as an appropriate quantum mechanical path integral is $\beta$-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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