量子场论中的κ平面波模式与连续压缩
Kappa Plane Wave Modes and Continuous Squeezing in Quantum Field Theory
AI总结：
本文提出由Minkowski平面波线性组合构成的κ-平面波模式，定义了平滑插值不同量子化的单参数真空族，证明其为连续模式压缩真空，并推导了连接Minkowski、Rindler和Unruh量子化的普适Bogoliubov变换。
摘要：
我们在平坦时空中引入了一族新的场模式——称为$κ$-平面波模式，由Minkowski平面波的$κ$相关线性组合构成。这些模式定义了一族单参数真空$|0_κ\rangle$，在不同量子化之间平滑插值，在$κ\to 0$极限下还原为Minkowski真空。我们证明$|0_κ\rangle$被唯一刻画为连续模式压缩真空，其频率相关压缩参数$r(ν)$满足$\tanh r(ν) = e^{-πν/κ}$。我们还推导了$κ$-平面波与$κ$-Rindler算符之间的两个Bogoliubov变换，它们展现出普适形式，并平滑插值于所有已知模式分解（包括Minkowski、Rindler和Unruh量子化）之间作为极限情形。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
