Equal-time correlation functions of integrable lattice models

• Applicants: Professor Dr. Hermann Boos; Professor Dr. Frank Göhmann
• Subject Area: Theoretical Condensed Matter Physics
• Term: from 2015 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 267822229

The main objective of this project is the advancement of methods for the exact and efficient calculation of correlation functions of integrable lattice models. In previous work we have shown that the correlation functions of the spin-1/2 Heisenberg chain and of related integrable models are characterized by a specific structure which we have called factorization: longer-range correlation functions are polynomials in one-point functions and neighbour-correlators, whose coefficients are determined by the underlying infinite-dimensional symmetry algebra. Here we plan to develop efficient computer algebra programs for the calculation of these coefficients. We want to show that the correlation functions of other integrable models factorize as well, and we want to extend the notion of factorization to the matrix elements occuring in the spectral representations of correlation functions.

• DFG Programme: Research Units
• Subproject of: FOR 2316: Correlations in Integrable Quantum Many-Body Systems
• International Connection: France, Japan
• Cooperation Partners: Professor Dr. Krzysztof Kozlowski; Professor Junji Suzuki