The resolvent of the Nelson Hamiltonian improves positivity
Functional Analysis
2021-04-20 v2 Mathematical Physics
math.MP
Abstract
We prove that the resolvent of the renormalised Nelson Hamiltonian at fixed total momentum P improves positivity in the (momentum) Fock-representation, for every P. Our argument is based on an explcit representation of the renormalised operator and its domain using interior boundary conditions.
Keywords
Cite
@article{arxiv.2010.03235,
title = {The resolvent of the Nelson Hamiltonian improves positivity},
author = {Jonas Lampart},
journal= {arXiv preprint arXiv:2010.03235},
year = {2021}
}
Comments
Some polishing and minor corrections, in particular to the proof of Lemma A.1 c)