发表机构
Embry-Riddle Aeronautical University; Institute for Basic Science; Observatoire de Paris, Université PSL, CNRS, LNE, Sorbonne Université; Washington State University（埃默里-里德航空大学; 基础科学研究院; 巴黎天文台，巴黎文理研究大学，法国国家科学研究中心，法国国家计量与测试实验室，索邦大学; 华盛顿州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在洛伦兹破缺有效场论中研究加速探测器的Unruh效应，精确量子化标量场并计算响应谱，发现系数约10^-7时与热谱有可辨差异，并探讨了实验意义及点粒子扇区视角。
AI 中文摘要
我们在一个局域洛伦兹破缺的有效场论中研究Fulling-Davies-Unruh效应，重点关注加速探测器的量子场响应。我们精确地在洛伦兹破缺系数下对实标量场进行正则量子化，得到了色散关系、哈密顿量以及无质量和有质量的Wightman函数。我们确定了标量动力学保持洛伦兹boost对称性的条件，并将这些条件与沿单一加速世界线实现平稳性所需的较弱条件区分开来。利用Wightman函数构造了均匀加速探测器的有限时间Unruh-DeWitt响应。对于一般系数，响应是非平稳的，并且依赖于测量的持续时间和时间位置。频谱（即作为探测器能级差函数的激发率）通过数值计算获得。对于无量纲系数约为$10^{-7}$的情况，频谱与通常的有质量热谱显示出可辨别的差异。我们讨论了该结果的实验意义。作为另一种观点，我们将洛伦兹破缺置于点粒子扇区，推导出恒定电场产生的精确轨迹，并研究常规标量波沿修正轨迹的固有时傅里叶响应。
英文摘要
We investigate the Fulling-Davies-Unruh effect in a local Lorentz-violating effective field theory, focusing on the quantum-field response of accelerated detectors. We canonically quantize a real scalar field exactly in the coefficients for Lorentz violation. The dispersion relation, Hamiltonian, and massless and massive Wightman functions are obtained. We determine the conditions under which the scalar dynamics preserves boost symmetry and distinguish these from the weaker conditions required for stationarity along a single accelerated worldline. The Wightman functions are used to construct the finite-time Unruh-DeWitt response for a uniformly accelerated detector. For generic coefficients the response is nonstationary and depends on both the duration and temporal location of the measurement. The spectrum, which is the resulting excitation rate as a function of the energy level difference in the detector, is obtained numerically. It shows discernable differences with the usual massive thermal spectrum for dimensionless coefficients on the order of $10^{-7}$. Experimental implications of the result are discussed. As an alternative viewpoint, we place Lorentz violation in the point-particle sector, derive the exact trajectory generated by a constant electric field, and study the proper-time Fourier response of a conventional scalar wave along the modified trajectory.
Comments27 pages, 6 figures
