Phase-Induced Particle Creation in the Kappa-Gamma Vacuum
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914282337206272 |
|---|---|
| author | Azizi, Arash |
| author_facet | Azizi, Arash |
| contents | We develop a two-parameter family of flat-spacetime modes labeled by a deformation scale $κ$ and a phase angle $γ$, extending the $κ$-plane wave framework to include complex squeezing. The resulting $κγ$ basis provides a globally well-defined mode decomposition whose associated vacuum $|0_{κ,γ}\rangle$ is a continuous-mode phase-squeezed state: $κ$ fixes the squeezing magnitude, while $γ$ sets the squeezing angle in phase space. We identify phase-induced particle creation, in which a relative phase mismatch $Δγ$ between observers generates a nontrivial particle spectrum governed by $(κ,Δγ)$ even when $κ$ is held fixed. We then derive the two reciprocal Bogoliubov maps: the $κγ$ plane-wave operators in terms of $κ'$-Rindler operators, and conversely the $κ'$-Rindler operators in terms of $κγ$ plane-wave operators, providing a closed algebraic bridge between these bases. Finally, by analyzing the Wightman function we show that $|0_{κ,γ}\rangle$ is globally regular, with no singularities beyond those of the standard Minkowski vacuum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05299 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase-Induced Particle Creation in the Kappa-Gamma Vacuum Azizi, Arash High Energy Physics - Theory We develop a two-parameter family of flat-spacetime modes labeled by a deformation scale $κ$ and a phase angle $γ$, extending the $κ$-plane wave framework to include complex squeezing. The resulting $κγ$ basis provides a globally well-defined mode decomposition whose associated vacuum $|0_{κ,γ}\rangle$ is a continuous-mode phase-squeezed state: $κ$ fixes the squeezing magnitude, while $γ$ sets the squeezing angle in phase space. We identify phase-induced particle creation, in which a relative phase mismatch $Δγ$ between observers generates a nontrivial particle spectrum governed by $(κ,Δγ)$ even when $κ$ is held fixed. We then derive the two reciprocal Bogoliubov maps: the $κγ$ plane-wave operators in terms of $κ'$-Rindler operators, and conversely the $κ'$-Rindler operators in terms of $κγ$ plane-wave operators, providing a closed algebraic bridge between these bases. Finally, by analyzing the Wightman function we show that $|0_{κ,γ}\rangle$ is globally regular, with no singularities beyond those of the standard Minkowski vacuum. |
| title | Phase-Induced Particle Creation in the Kappa-Gamma Vacuum |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.05299 |