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Title Explicit forms of Baecklund transformations for the Grassmannian and CP/sup tsN/-1 sigma models
Creator/Author Sasaki, R.
Publication Date1985 Jul 01
OSTI IdentifierOSTI ID: 5644638
Other Number(s)CODEN: JMAPA
Resource TypeJournal Article
Resource RelationJ. Math. Phys. (N.Y.) ; Vol/Issue: 26:7
Research OrgResearch Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725, Japan
Subject645400 -- High Energy Physics-- Field Theory; SIGMA MODEL-- BAECKLUND TRANSFORMATION; ANALYTICAL SOLUTION;FIELD THEORIES;GAUGE INVARIANCE;GROUP THEORY;MATRICES;NONLINEAR PROBLEMS;RIEMANN SPACE;SCALAR FIELDS;SCALARS;SCATTERING;SINGULARITY;TWO-DIMENSIONAL CALCULATIONS
Related SubjectINVARIANCE PRINCIPLES;MATHEMATICAL MODELS;MATHEMATICAL SPACE;MATHEMATICS;PARTICLE MODELS;SPACE;TRANSFORMATIONS
Description/Abstract A fairly wide class of classical solutions of the Euclidean two-dimensional Grassmannian and CP/sup N/-1 sigma models has been constructed explicitly and elementarily by the present author.^Starting from these classical solutions we derive the explicit forms of the Baecklund transformations following Harnad et al.^Properties of the Baecklund transformations for the Grassmannian models are discussed.^In particular, a simple interpretation of the Baecklund transformations for the CP/sup N/-1 model is obtained.^Generalization of these results to the noncompact Grassmannian sigma models is straightforward.
Country of PublicationUnited States
LanguageEnglish
FormatPages: 1786-1792
System Entry Date2001 May 13

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