Generalisations of the Coleman-Thun mechanism and boundary reflection factors

P Dorey, R Tateo, G Watts

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

We make a complete pole analysis of the reflection factors of the boundary scaling Lee-Yang model. In the process we uncover a number of previously unremarked mechanisms for the generation of simple poles in boundary reflection factors, which have implications for attempts to close the boundary bootstrap in more general models. We also explain how different boundary conditions can sometimes share the same fundamental reflection factor, by relating the phenomenon to potential ambiguities in the interpretation of certain poles. In the case discussed, this ambiguity can be lifted by specifying the sign of a bulk-boundary coupling. While the recipe we employ for the association of poles with general on-shell diagrams is empirically correct, we stress that a justification on the basis of more fundamental principles remains a challenge for future work. (C) 1999 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)249-256
Number of pages8
JournalPhysics Letters B
Volume448
Issue number3-4
DOIs
Publication statusPublished - 25 Feb 1999

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