Speaker
Prof.
Michael Movshev
(Stony Brook)
Description
The $O(N+1)$-model or a sigma model whose target is a round $N$-dimensional sphere is a well established (by physical standards) subject. It attracts attention because the theory exhibit spontaneous mass generation-a feature that is also expected in a more realistic but also more complicated four-dimensional gauge theories. In addition, the $O(N+1)$-model is believed to be completely integrable. In particular, an explicit formula for the mass gap is know.
I will discuss mathematical aspects of quantum Hamiltonian formalism for the $O(N+1)$-model such as a precise statement of the mass gap conjecture and a possible definition of the renormalization group that goes beyond perturbation theory.
Author
Prof.
Michael Movshev
(Stony Brook)
