functorial quantum field theory
Reshetikhin?Turaev model? / Chern-Simons theory
FQFT and cohomology
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
This entry provides hyperlinks for the book
Renormalization and effective field theory
Mathematical Surveys and Monographs, Volume 170
American Mathematical Society (2011)
on renormalization and BV-quantization of effective quantum field theory of those quantum field theories whose action functional can be brought into “BV-CS form” $S(\phi) = \langle \phi, Q \phi\rangle + I(\phi)$.
Much of the content is based on the article
which focuses on Chern-Simons theory, as well as
which focuses on Yang-Mills theory.
The methods of the book are designed to allow to construct quantum field theories in the form of factorization algebras of observables (see there for more details) as discussed in
(…)