TITLE: Colombeau generalized functions
QUESTION [5 upvotes]: I'm currently reading some aspects of Colombeau generalized functions, and in almost all of his examples he discuss aspects of Quantum Field Theory, but then I go to some "standard" texts on QFT and I can not find any information (Ziedler only point out some similarities with Hörmander wave front sets; I can't find anything on Weinberg's book, or Folland).
Why is that? what is the major drawback about Colombeau "new" generalized functions to make it hard to find on physics books? or are there any standard physics books discussing it?
I know about the books "Nonlinear Theory of Generalized Functions" and "The linear theory of Colombeau generalized functions".
Thanks.

REPLY [2 votes]: This recent textbook might be helpful:
Geometric Theory of Generalized Functions with Applications to General Relativity, M. Grosser, M. Kunzinger, M. Oberguggenberger, and R. Steinbauer (2013).

Over the past few years a certain shift of focus within the theory of
  algebras of generalized functions (in the sense of J. F. Colombeau)
  has taken place. Originating in infinite dimensional analysis and
  initially applied mainly to problems in nonlinear partial differential
  equations involving singularities, the theory has undergone a change
  both in internal structure and scope of applicability, due to a
  growing number of applications to questions of a more geometric
  nature. The present book is intended to provide an in-depth
  presentation of these developments comprising its structural aspects
  within the theory of generalized functions as well as a (selective
  but, as we hope, representative) set of applications, in particular in the context of general relativity.