Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration

Details Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration

1992-09-15

arxiv.org/abs/hep-th/9209053v1

Commun.Math.Phys. 155 (1993) 27-46

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF02100048

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. {}.

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