Higher Loop Anomalies and their Consistency Conditions in Nonlocal Regularization

Details Higher Loop Anomalies and their Consistency Conditions in Nonlocal Regularization Higher Loop Anomalies and their Consistency Conditions in Nonlocal Regularization

1996-07-29

arxiv.org/abs/hep-th/9607215v1

Nucl.Phys. B482 (1996) 373-402

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX2e or LaTeX2.09, 1 figure (uses epsf)

Scientific paper

10.1016/S0550-3213(96)00570-6

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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