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• W2044018146 abstract "The one-loop anomalies for chiral $W_{3}$ gravity are derived using the Fujikawa regularisation method. The expected two-loop anomalies are then obtained by imposing the Wess-Zumino consistency conditions on the one-loop results. The anomalies found in this way agree with those already known from explicit Feynman diagram calculations. We then directly verify that the order $hbar^2$ non-local BRST Ward identity anomalies, arising from the ``dressing'' of the one-loop results, satisfy Lam's theorem. It is also shown that in a rigorous calculation of $Q^2$ anomaly for the BRST charge, one recovers both the non-local as well as the local anomalies. We further verify that, in chiral gravities, the non-local anomalies in the BRST Ward identity can be obtained by the application of the anomalous operator $Q^2$, calculated using operator products, to an appropriately defined gauge fermion. Finally, we give arguments to show why this relation should hold generally in reparametrisation-invariant theories." @default.
• W2044018146 created "2016-06-24" @default.
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• W2044018146 creator A5056845077 @default.
• W2044018146 date "1995-11-01" @default.
• W2044018146 modified "2023-10-14" @default.
• W2044018146 title "Higher-loop anomalies in chiral gravities" @default.
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• W2044018146 doi "https://doi.org/10.1016/0550-3213(95)00401-d" @default.
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