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arXiv 2411.04460gr-qc
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引力量子场论中的参考系拖曳效应

Frame-dragging effects in a gravitational quantum field theory

Dongfeng Gao, Wei-Tou Ni

备注：
7 pages
发表信息：
Physical Review D 111, 084039 (2025)
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AI总结：

在引力量子场论（GQFT）中推导参考系拖曳的伦泽-蒂林效应，利用LARES-LAGEOS测量给出γ_W约束，虽精度低于卡西尼实验，但未来LARES 2发射将提升精度，且夏皮罗效应测量精度可达10^-9。

摘要：

与电动力学中的磁学类似，相对论引力中存在引力磁学。由于引力决定局域惯性系，在广义相对论（GR）和其他相对论引力理论中，源运动产生的参考系拖曳在引力磁学中起关键作用。近期，Wu提出了一种引力规范理论，称为引力量子场论（GQFT），其中引力和自旋规范力由规范场描述。Gao等人（《物理评论D》109卷，064072页）在GQFT中推导了夏皮罗时间延迟，并利用卡西尼实验结果给出无量纲GQFT参数γ_W的约束为(2.1±2.3)×10^-5。本工作中，我们在GQFT中推导了参考系拖曳的伦泽-蒂林效应。LARES-LAGEOS伦泽-蒂林测量的当前精度给出|γ_W|小于2×10^-2的约束，该约束与卡西尼实验约束一致但精度更低。作为量子引力的候选理论，我们不期望其与GR值（γ_W=0）的经典偏差较大。随着LARES 2的发射，未来几年伦泽-蒂林测量精度有望提高一个数量级；而对于夏皮罗效应，当前技术已能将γ_W参数的测量精度提升至10^-9。

英文摘要：

Analogous to magnetism in electrodynamics, it is gravitomagnetism in relativistic gravity. Since gravity determines locally inertial frames, in general relativity (GR) and other relativistic theories of gravity, frame-dragging with source motion plays a key role in gravitomagnetism. Recently, Wu has put forward a gauge theory of gravity, called the gravitational quantum field theory (GQFT), with the gravitational force and the spin gauge force described by the gauge fields. Gao {\it et al.} ({\it Phy. Rev. D 109, 064072}) have derived the Shapiro time delay in the GQFT and given an empirical constraint from the Cassini experimental result on the dimensionless GQFT parameter $γ_W$ to be $(2.1\pm 2.3)\times 10^{-5}$. In this work, we derive the frame-dragging Lense-Thirring effects in the GQFT. The current precision of LARES-LAGEOS Lense-Thirring measurement gives a constraint on $|γ_W|$ to be less than $2\times 10^{-2}$. This constraint is consistent with, but subdominant to, the Cassini experimental constraint. As a candidate of quantum gravity, we do not expect that the deviation from the GR value ($γ_W=0$) is large, classically. With the launch of LARES 2, the precision of the Lense-Thirring measurement is expected to increase by one order of magnitude in a couple of years. As to the Shapiro effect, current technologies have the capability to measure the $γ_W$ parameter to a precision of $10^{-9}$.

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