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. © 2014 American Physical Society.

Clustering and decomposition for non-BPS solutions of the C PN-1 models

BOLOGNESI, STEFANO;
2014

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. © 2014 American Physical Society.
Bolognesi, Stefano; Zakrzewski, W.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/867533
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