Algebraic structures in perturbative quantum field theory


Kevin Costello

Northwestern University


Thursday, December 9, 2010

Talk at 2:45 p.m. in Room 2-190 (NOTE UNUSUAL TIME)


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.


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Posted: November 18, 2010    URL: