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arXiv · hep-th/9607215

Higher Loop Anomalies and their Consistency Conditions in Nonlocal Regularization

Jordi París·Walter Troost
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Abstract

An algebraic program of computation and characterization of higher loop BRST anomalies is presented. We propose a procedure for disentangling a genuine{\it local} higher loop anomaly from the quantum dressings of lower loop anomalies. For such higher loop anomalies we derive a local consistency condition, which is the generalisation of the Wess-Zumino condition for the one-loop anomaly. The development is presented in the framework of the field-antifield formalism, making use of a nonlocal regularization method. The theoretical construction is exemplified by explicitly computing the two-loop anomaly of chiral $W_3$ gravity. We also give, for the first time, an explicit check of the local two--loop consistency condition that is associated with this anomaly.

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Jordi París, Walter Troost. 1996-07-29. Higher Loop Anomalies and their Consistency Conditions in Nonlocal Regularization. https://doi.org/10.1016/s0550-3213(96)00570-6

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