English

A non-Fock fermion toy model

High Energy Physics - Theory 2007-05-23 v1 Probability

Abstract

Recent progress in mathematical theory of random processes provides us with non-Fock product systems (continuous tensor products of Hilbert spaces) used here for constructing a toy model for fermions. Some state vectors describe infinitely many particles in a finite region; the particles accumulate to a point. Electric charge can be assigned to the particles, the total charge being zero. Time dynamics is not considered yet, only kinematics (a single time instant).

Keywords

Cite

@article{arxiv.hep-th/9912031,
  title  = {A non-Fock fermion toy model},
  author = {Boris Tsirelson},
  journal= {arXiv preprint arXiv:hep-th/9912031},
  year   = {2007}
}

Comments

15 pages, 2 figures, LaTeX2e

R2 v1 2026-07-22T16:18:37.878Z