Nonlocal regularisation and two-dimensional induced actions

Abstract

We present an invariant regularisation scheme to compute two dimensional induced gauge theory actions, that is local in Polyakov's variables, but nonlocal in the original gauge potentials. Our method sheds light on the locality of this induced action, and leads to a straightforward proof that the $\epsilon$-anomaly in $W_3$-gravity is completely given by the one loop term.

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Cited by in corpus (4)

• Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral $W_3$ gravity
• The BPHZ renormalised BV master equation and Two-loop Anomalies in Chiral Gravities
• Special Holonomy and Two-Dimensional Supersymmetric Sigma-Models
• Regularisation of non-local actions in two-dimensional field theories