The 1/N expansion for lattice gauge theories


Sourav Chatterjee



Wednesday, October 26, 2016


Talk at 4:30 p.m. in 2-190

Tea at 4:00 p.m in 2-290


Abstract: I will present a rigorous formulation and proof of the 1/N expansion for SO(N) lattice gauge theory in any dimension. The 1/N expansion for lattice gauge theories was invented by Gerardus 't Hooft more than forty years ago in the physics literature. Rigorous proofs were established in various contexts, but not for the original setting of lattice gauge theories. It turns out that the terms in the expansion are expressible as sums over trajectories of strings in a lattice string theory, establishing an explicit gauge-string duality. The trajectories trace out surfaces of genus zero for the first term in the expansion, and surfaces of higher genus for the higher terms. This is joint work with Jafar Jafarov.

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Posted: September 24, 2016    URL: