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On a generalized bootstrap principle

Technical Report:

Abstract

The S-matrices for non-simply-laced affine Toda field theories are considered in the context of a generalized bootstrap principle. The S-matrices, and in particular their poles, depend on a parameter whose range lies between the Coxeter numbers of dual pairs of the corresponding non-simply-laced algebras. It is proposed that only odd order poles in the physical strip with positive coefficients throughout this range should participate in the bootstrap. All other singularities have an explanation in principle in terms of a generalized Coleman-Thun mechanism. Besides the S-matrices introduced by Delius, Grisaru and Zanon, the missing case (F{sub 4}{sup (1)}, e{sub 6}{sup (2)}), is also considered and provides many interesting examples of pole generation. (author).
Authors:
Corrigan, E; Sasaki, R; [1]  Dorey, P E
  1. Durham Univ. (United Kingdom). Dept. of Mathematical Sciences
Publication Date:
Dec 01, 1993
Product Type:
Technical Report
Report Number:
YITP/U-93-9
Reference Number:
SCA: 662130; PA: JPN-93:011104; EDB-94:015696; ERA-19:005610; NTS-94:015029; SN: 93001119320
Resource Relation:
Other Information: PBD: 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOOTSTRAP MODEL; LAGRANGIAN FIELD THEORY; SINGULARITY; S MATRIX; SCATTERING AMPLITUDES; FUNCTIONS; INTEGRAL CALCULUS; 662130; S-MATRIX THEORY, RELATIVISTIC SCATTERING THEORY
OSTI ID:
10110054
Research Organizations:
Kyoto Univ., Uji (Japan). Uji Research Center of Yukawa Inst. for Theoretical Physics
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE94727517; TRN: JP9311104
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
25 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Corrigan, E, Sasaki, R, and Dorey, P E. On a generalized bootstrap principle. Japan: N. p., 1993. Web.
Corrigan, E, Sasaki, R, & Dorey, P E. On a generalized bootstrap principle. Japan.
Corrigan, E, Sasaki, R, and Dorey, P E. 1993. "On a generalized bootstrap principle." Japan.
@misc{etde_10110054,
title = {On a generalized bootstrap principle}
author = {Corrigan, E, Sasaki, R, and Dorey, P E}
abstractNote = {The S-matrices for non-simply-laced affine Toda field theories are considered in the context of a generalized bootstrap principle. The S-matrices, and in particular their poles, depend on a parameter whose range lies between the Coxeter numbers of dual pairs of the corresponding non-simply-laced algebras. It is proposed that only odd order poles in the physical strip with positive coefficients throughout this range should participate in the bootstrap. All other singularities have an explanation in principle in terms of a generalized Coleman-Thun mechanism. Besides the S-matrices introduced by Delius, Grisaru and Zanon, the missing case (F{sub 4}{sup (1)}, e{sub 6}{sup (2)}), is also considered and provides many interesting examples of pole generation. (author).}
place = {Japan}
year = {1993}
month = {Dec}
}