On the Szegő formulas for truncated Wiener-Hopf operators (1801.02520v1)

Published 8 Jan 2018 in math.SP, math-ph, and math.MP

Abstract: We consider functions of multi-dimensional versions of truncated Wiener--Hopf operators with smooth symbols, and study the scaling asymptotics of their traces. The obtained results extend the asymptotic formulas obtained by H. Widom in the 1980's to non-smooth functions, and non-smooth truncation domains. The obtained asymptotic formulas are used to analyse the scaling limit of the spatially bipartite entanglement entropy of thermal equilibrium states of non-interacting fermions at positive temperature.

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Authors (1)

Alexander V. Sobolev

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