Bethe ansatz for non-diagonal boundaries

• Grant number: 14/09832-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 08, 2014
• End date: February 25, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Antonio Lima Santos
• Grantee: Antonio Lima Santos
• Visiting researcher: Samuel Belliard
• Visiting researcher institution: Laboratoire Charles Coulomb (L2C), France
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 11/18729-1 - Gravitation and cosmology: structural questions and applications, AP.TEM

Abstract

In this project we intend to contribute to the development of the algebraic Bethe ansatz as a technique to solve vertex models with open boundary conditions. Recent breakthroughs will be taken into account in order to investigate problems such as the calculation of scalar products and correlation functions for models with non-diagonal reflection matrices. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BELLIARD, S.; PIMENTA, R. A.. Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases. Nuclear Physics B, v. 894, p. 527-552, MAY 2015. (14/09832-1, 14/00453-8)

AVAN, J.; BELLIARD, S.; GROSJEAN, N.; PIMENTA, R. A.. Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof. Nuclear Physics B, v. 899, p. 229-246, OCT 2015. (14/20364-0, 14/09832-1, 14/00453-8)

BELLIARD, SAMUEL. Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases. Nuclear Physics B, v. 892, p. 1-20, MAR 2015. (14/09832-1)