A pseudo-bosonic Klein–Gordon field with finite two-point function
Abstract
Abstract We introduce a class of pseudo-bosonic Klein–Gordon fields (KGFs) in 1+1 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.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Noncommutative and Quantum Gravity Theories
Quantum Mechanics and Applications
Publication details
- Journal / source
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
- Volume
- 482
- Issue
- 2333
- Publication date
- 1 March 2026
- Language
- EN