Nonlocal regularisation and two-dimensional induced actions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1016/0370-2693(92)91952-6

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 $\varepsilon$-anomaly in $W_3$-gravity is completely given by the one loop term.

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