An Extension of Distribution Theory Related to Gauge Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

20 pages, LaTeX, submitted to Commun.Math.Phys

Scientific paper

10.1007/s002200050074

We show that a considerable part of the theory of (ultra)distributions and hyperfunctions can be extended to more singular generalized functions, starting from an angular localizability notion introduced previously. Such an extension is needed to treat gauge quantum field theories with indefinite metric in a generic covariant gauge. Prime attention is paid to the generalized functions defined on the Gelfand-Shilov spaces $S_\alpha^0$ which gives the widest framework for construction of gauge-like models. We associate a similar test function space with every open and every closed cone, show that these spaces are nuclear and obtain the required formulas for their tensor products. The main results include the generalization of the Paley--Wiener--Schwartz theorem to the case of arbitrary singularity and the derivation of the relevant theorem on holomorphic approximation.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

An Extension of Distribution Theory Related to Gauge Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Extension of Distribution Theory Related to Gauge Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Extension of Distribution Theory Related to Gauge Field Theory will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-260119

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.