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. |
Web page: Alexandru I. Suciu | Comments to: alexsuciu@neu.edu | |
Posted: November 18, 2010 | URL: http://www.math.neu.edu/bhmn/costello10.html |