English

Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration

High Energy Physics - Theory 2009-10-22 v1

Abstract

Optimal hypercontractivity bounds for the fermion oscillator semigroup are obtained. These are the fermion analogs of the optimal hypercontractivity bounds for the boson oscillator semigroup obtained by Nelson. In the process, several results of independent interest in the theory of non-commutative integration are established. {}.

Keywords

Cite

@article{arxiv.hep-th/9209053,
  title  = {Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration},
  author = {Eric Carlen and Elliott Lieb},
  journal= {arXiv preprint arXiv:hep-th/9209053},
  year   = {2009}
}

Comments

18 p., princeton/ecel/7-12-92