Structure and universal expressions: Hubbard Model q-deformed and correlation functions

• Grant number: 09/08708-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2009
• End date: October 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Victor de Oliveira Rivelles
• Grantee: Cláudio Silva de Melo
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 08/05343-5 - Quantum gravity, AP.TEM

Abstract

In this project I plan to tackle initially the problem of the recent proposal by Beisert [9] about a matrix R q-deformed of the Hubbard model. The next step consists in showing that the Bethe ansatz autovectors invariant models by symmetry U (1) can be normalized. Due to previous experience [7], I believe that the normalization constant must have a universal character expression, independent of the specific form of the Boltzmann weights. I emphasize that the determination of the proportionality constants will be doubtlessly an important mark for future progress in the mathematical structure of exactly soluble models. I believe that such an analysis is only the tip of an iceberg that will lead us towards the discovery of new general structures for the correlation functions for integrable systems. (AU)