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.| File | Dimensione | Formato | |
|---|---|---|---|
|
2026RSPA.pdf
accesso aperto
Tipologia:
Versione Editoriale
Dimensione
305.14 kB
Formato
Adobe PDF
|
305.14 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.


