Modification of the topological expansion of the O(3) sigma model
Abstract
We show that the one-instanton sector moduli-space divergence of the O(3) sigma model leads to an unacceptable dependence of Green functions on the arbitrary way that the field is split into a quantum fluctuation about a classical background. In particular the rotational symmetry of the model is spoilt. Since the divergence is associated with the degeneration of field configurations to those of the zero-instanton sector this arbitrariness may be cancelled by modifying the zero-instanton functional integral. We explicitly construct this modification.
- Publication:
-
Nuclear Physics B
- Pub Date:
- February 1996
- DOI:
- 10.1016/0550-3213(96)88698-6
- Bibcode:
- 1996NuPhB.462..141C