Regard Renormalization in QED as Functor between Categories

Details Regard Renormalization in QED as Functor between Categories Regard Renormalization in QED as Functor between Categories

2011-07-22

arxiv.org/abs/1107.4492v1

Physics

Mathematical Physics

13 pages 0 figures

Scientific paper

To unify the quantum electrodynamics (QED) under the first principle which brings the renormalization unartificially, we study Feynman diagrams in QED according to the set theory and the category theory. We add the restriction on the electromagnetic interaction that a particle can and only can interact with particles which never interact with onself. Thus, fermiors (lines) in tree diagrams belong to sets, but belong to proper classes when they are in five primitive divergent diagrams. Fermiors, photons, fermior mass and charge compose together categories in which the group product of the local U(1) group and the propr Lorentz group is the morphism. There is the functor projecting the category containing fermiors in tree diagrams into the category containing fermior in divergent diagrams. Because proper classes have not the measure, this functor avoids the restriction of the measure. It can be regarded as the renormalization in QED and all renormalization constants have not a fixed magnitude.

Affiliated with

Also associated with

No associations

Rating

Regard Renormalization in QED as Functor between Categories 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 Regard Renormalization in QED as Functor between Categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regard Renormalization in QED as Functor between Categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-676415