English

Phase space properties and the short distance structure in quantum field theory

Mathematical Physics 2007-05-23 v3 math.MP

Abstract

The paper investigates relations between the phase space structure of a quantum field theory ("nuclearity") and the concept of pointlike localized fields. Given a net of local observable algebras, a phase space condition is introduced that allows a very detailed description of the theory's field content. An appendix discusses noninteracting models as examples.

Keywords

Cite

@article{arxiv.math-ph/0409070,
  title  = {Phase space properties and the short distance structure in quantum field theory},
  author = {Henning Bostelmann},
  journal= {arXiv preprint arXiv:math-ph/0409070},
  year   = {2007}
}

Comments

v3: minor changes, as to appear in J. Math. Phys.; 15 pages

R2 v1 2026-07-22T16:24:59.802Z