Modification of the topological expansion of the O(3) sigma model.

Costambeys, R.; Mansfield, P.

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.

Citation

Costambeys, R., & Mansfield, P. (1996). Modification of the topological expansion of the O(3) sigma model. Nuclear Physics B, 462(1), 141-166. https://doi.org/10.1016/0550-3213%2896%2988698-6

• Journal Article Type: Article
• Acceptance Date: Dec 4, 1995
• Publication Date: 1996-03
• Journal: Nuclear Physics B
• Print ISSN: 0550-3213
• Electronic ISSN: 1873-1562
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 462
• Issue: 1
• Pages: 141-166
• DOI: https://doi.org/10.1016/0550-3213%2896%2988698-6
• Keywords: Sigma model, Instantons, Renormalisation, Moduli space divergence, BRST invariance.
• Public URL: https://durham-repository.worktribe.com/output/1622384
• Related Public URLs: http://arxiv.org/abs/hep-th/9504062