Kappa Plane Wave Modes and Continuous Squeezing in Quantum Field Theory
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913937918787584 |
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| author | Azizi, Arash |
| author_facet | Azizi, Arash |
| contents | We introduce a new family of field modes in flat spacetime -- termed $κ$-plane wave modes -- constructed from $κ$-dependent linear combinations of Minkowski plane waves. These modes define a one-parameter family of vacua, $|0_κ\rangle$, that smoothly interpolate between different quantizations, reducing to the Minkowski vacuum in the limit $κ\to 0$. We show that $|0_κ\rangle$ is uniquely characterized as a continuous-mode squeezed vacuum, with frequency-dependent squeezing parameter $r(ν)$ satisfying $\tanh r(ν) = e^{-πν/κ}$. We also derive two Bogoliubov transformations between $κ$-plane wave and $κ$-Rindler operators, which exhibit a universal form and smoothly interpolate between all known mode decompositions, including those of Minkowski, Rindler, and Unruh quantizations as limiting cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08066 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kappa Plane Wave Modes and Continuous Squeezing in Quantum Field Theory Azizi, Arash High Energy Physics - Theory We introduce a new family of field modes in flat spacetime -- termed $κ$-plane wave modes -- constructed from $κ$-dependent linear combinations of Minkowski plane waves. These modes define a one-parameter family of vacua, $|0_κ\rangle$, that smoothly interpolate between different quantizations, reducing to the Minkowski vacuum in the limit $κ\to 0$. We show that $|0_κ\rangle$ is uniquely characterized as a continuous-mode squeezed vacuum, with frequency-dependent squeezing parameter $r(ν)$ satisfying $\tanh r(ν) = e^{-πν/κ}$. We also derive two Bogoliubov transformations between $κ$-plane wave and $κ$-Rindler operators, which exhibit a universal form and smoothly interpolate between all known mode decompositions, including those of Minkowski, Rindler, and Unruh quantizations as limiting cases. |
| title | Kappa Plane Wave Modes and Continuous Squeezing in Quantum Field Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.08066 |