English

Nonequivalent representations of nuclear algebras of canonical commutation relations. Quantum fields

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

Abstract

Non-Fock representations of the canonical commutation relations modeled over an infinite-dimensional nuclear space are constructed in an explicit form. The example of the nuclear space of smooth real functions of rapid decrease results in nonequivalent quantizations of scalar fields.

Cite

@article{arxiv.hep-th/0202038,
  title  = {Nonequivalent representations of nuclear algebras of canonical commutation relations. Quantum fields},
  author = {G. Sardanashvily},
  journal= {arXiv preprint arXiv:hep-th/0202038},
  year   = {2007}
}

Comments

23 pages