Existence of the ground state for the Pauli-Fierz model with a variable mass

2020/02/07 by Hidaka, Takeru
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2002.02676

Abstract

The Pauli-Fierz model with a variable mass v is considered. An ultraviolet cutoff and an infrared regularity condition are imposed on a quantized radiation field. It is shown that the ground state exists for arbitrary values of coupling constants, when v(x)≤ c⟨ x⟩^-β, β>3.

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