nLab Factorization algebras in perturbative quantum field theory

This entry provides hyperlinks for the text

• Kevin Costello, Owen Gwilliam,

  Factorization algebras in perturbative quantum field theory

  (Volume 1, Volume 2)

on the description of perturbative quantum field theory via factorization algebras of observables (see there for more details). Vol. 1 appeared in series New Mathematical Monographs, vol. 31, Cambridge University Press (2016).

The construction proceeds by a refined (spacetime-local) form of deformation quantization via BV-complexes. For renormalization of interaction terms it relies on methods in

• Kevin Costello, Renormalization and Effective Field Theory.

Some of the notions in the text are inspired or influenced by

• Alexander Beilinson, Vladimir Drinfeld, Chiral Algebras

For further related publications see the references at factorization algebra.

category: reference