Mathematical Physics Seminar, June 16, 2009
Correlated fermions and exactly solvable systems
I discuss the problem of how to do reliably computation in two dimensional (2D) lattice fermion models of Hubbard type and what exactly solvable systems can possibly contribute to its solution. I recall how the 1D Luttinger model, a well-known exactly solvable model, has contributed to our understanding of 1D lattice fermion systems. I also present a 2D analogue of this story.
(Based on arXiv:0903.0055v1 [math-ph])