|Date: Tuesday, February 07, 2012
Title: Algebraic structures in perturbative quantum field theory
Abstract: Deformation quantization casts the problem of quantizing classical mechanical systems as an algebraic problem: given a Poisson algebra, find an associative algebra which is a quantization.
I'll explain how the problem of quantizing a classical field theory can be expressed as a similar algebraic problem, using the language of factorization algebras. Then, I'll state a theorem describing the obstruction and deformation groups controlling possible quantizations, to each order in hbar. The proof of the theorem relies on the physicists' techniques of renormalization.
Speaker: Kevin Costello
Institution: Northwestern University