Topological Renormalisation of the O(3) Sigma Model

Details Topological Renormalisation of the O(3) Sigma Model Topological Renormalisation of the O(3) Sigma Model

1995-04-11

arxiv.org/abs/hep-th/9504062v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 22 pages, no figures

Scientific paper

We show that the one-instanton sector moduli-space divergence of the O(3) Sigma Model leads to an unacceptable dependence of Green's functions on the arbitrary way that the field is split into a quantum fluctuation about a classical background. Since the divergence is associated with the degeneration of field configurations to those of the zero-instanton sector this arbitrariness may be cancelled by a `topological counter-term' which we construct.

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