We introduce a class of pseudo-bosonic Klein–Gordon fields (KGFs) in (Formula presented) dimensions, and we discuss some of their properties. This approach originates from non-Hermitian quantum mechanics and deformed canonical commutation relations (CCRs). We show that, within this class of fields, there exists a specific subclass with the quite interesting property of having finite equal space-time two-point function, contrarily to what happens for ordinary KGFs. 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.

Bagarello, F. (2026). A pseudo-bosonic Klein–Gordon field with finite two-point function. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A, 482(2333) [10.1098/rspa.2025.0994].

A pseudo-bosonic Klein–Gordon field with finite two-point function

Bagarello, F.
2026-03-04

Abstract

We introduce a class of pseudo-bosonic Klein–Gordon fields (KGFs) in (Formula presented) dimensions, and we discuss some of their properties. This approach originates from non-Hermitian quantum mechanics and deformed canonical commutation relations (CCRs). We show that, within this class of fields, there exists a specific subclass with the quite interesting property of having finite equal space-time two-point function, contrarily to what happens for ordinary KGFs. 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.
4-mar-2026
Bagarello, F. (2026). A pseudo-bosonic Klein–Gordon field with finite two-point function. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A, 482(2333) [10.1098/rspa.2025.0994].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/706350
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