Clustering and decomposition for non-BPS solutions of the CPN−1 models

Bolognesi, S.; Zakrzewski, W.

Abstract

We look at solutions [both Bogomol’nyi-Prasad-Sommerfield (BPS) and non-BPS] of the CPN−1 model on R×S1 (with twisted boundary conditions), in particular by using a conformal mapping technique, and we show how to interpret these solutions by decomposing them into expressions describing constituent solitons. We point out the problems that may arise (for non-BPS solutions) when one naively looks at the clustering properties of these solutions. This could lead to misunderstandings when studying extrapolations between small and large compactification radii.

Citation

Bolognesi, S., & Zakrzewski, W. (2014). Clustering and decomposition for non-BPS solutions of the CPN−1 models. Physical Review D, 89(6), Article 065013. https://doi.org/10.1103/physrevd.89.065013

• Journal Article Type: Article
• Online Publication Date: Mar 13, 2014
• Publication Date: Mar 13, 2014
• Deposit Date: Apr 28, 2014
• Publicly Available Date: May 1, 2014
• Journal: Physical Review D - Particles, Fields, Gravitation, and Cosmology
• Print ISSN: 1550-7998
• Electronic ISSN: 1550-2368
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 89
• Issue: 6
• Article Number: 065013
• DOI: https://doi.org/10.1103/physrevd.89.065013
• Public URL: https://durham-repository.worktribe.com/output/1434673