A pseudo-bosonic Klein-Gordon field with finite two-points function
Mathematical Physics
2026-01-23 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
We introduce a class of pseudo-bosonic Klein-Gordon fields in 1+1 dimensions and we discuss some of their properties. This work originates from non Hermitian quantum mechanics and deformed canonical commutation relations. We show that, within this class of fields, there exist a specific subclass with the interesting feature of having finite equal space-time two-points function, contrarily to what happens for {\em standard} Klein-Gordon fields. This, in our opinion, is a relevant aspect of our proposal which is a good motivation to undertake a deeper analysis of this (and related) quantum fields.
Cite
@article{arxiv.2601.16131,
title = {A pseudo-bosonic Klein-Gordon field with finite two-points function},
author = {Fabio Bagarello},
journal= {arXiv preprint arXiv:2601.16131},
year = {2026}
}
Comments
A slightly different version will appear in Proceedings of the Royal Society A