Published October 21, 2009
| Version v1
Journal article
XXZ scalar products and KP
Creators
- 1. Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3010 (Australia)
Description
Using a Jacobi-Trudi-type identity, we show that the scalar product of a general state and a Bethe eigenstate in a finite-length XXZ spin-1/2 chain is (a restriction of) a KP τ function. This leads to a correspondence between the eigenstates and points on Sato's Grassmannian. Each of these points is a function of the rapidities of the corresponding eigenstate, the inhomogeneity variables of the spin chain and the crossing parameter.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.nuclphysb.2009.04.019Additional details
Identifiers
- DOI
- 10.1016/j.nuclphysb.2009.04.019;
- arXiv
- arXiv:0903.2611v1;
- PII
- S0550-3213(09)00228-4;
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 820
- Journal Issue
- 3
- Journal Page Range
- p. 649-663
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41059396
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- EIGENSTATES; FERMIONS; FUNCTIONS; PARTICLE RAPIDITY; SCALARS; SPIN
- Descriptors DEC
- ANGULAR MOMENTUM; PARTICLE PROPERTIES
Optional Information
- Copyright
- Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.