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.
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Communicated by A. Jaffe
Work supported by U.S. National Science Foundation grant no. PHY90-19433-A01.
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Carlen, E.A., Lieb, E.H. Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities. Commun.Math. Phys. 155, 27–46 (1993). https://doi.org/10.1007/BF02100048
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DOI: https://doi.org/10.1007/BF02100048