AI 中文总结
该研究通过BRST量子化推导紧致能量源的渐近线性化引力场量子态，明确静态牛顿场量子态的来源，并探讨其对全息原理和黑洞信息的意义。
AI 中文摘要
我们利用BRST量子化，推导了紧致能量源的渐近线性化引力场的量子态。Barnich此前利用高斯定律约束推导了量子电动力学（QED）中U(1)场的量子态，而高斯定律的作用现在由引力中的线性化哈密顿量约束和动量约束承担。对于静态质量源，仅标量哈密顿量约束发生偏移。对应静态牛顿场的量子态源自非辐射的标量约束部分，而非传播的横无迹引力子部分。我们讨论其对全息原理和黑洞信息的意义：1. 紧致源的精确量子态编码在其引力场的渐近量子态中；2. 霍金振幅通过视界外的引力态依赖于黑洞内部态。
英文摘要
We derive the quantum state of the asymptotic linearized gravity field of a compact energy source, using BRST quantization. Barnich has previously derived the quantum state of the U(1) field in QED using the Gauss law constraint. The role of Gauss's law is now played by the linearized Hamiltonian and momentum constraints in gravity. For a static mass source, only the scalar Hamiltonian constraint is shifted. The quantum state corresponding to the static Newton field originates in the non-radiative scalar constraint sector, not in the propagating transverse-traceless graviton sector. We discuss implications for holography and for black hole information: 1. the exact quantum state of the compact source is encoded in the asymptotic quantum state of its gravity field 2. Hawking amplitudes are dependent, via the gravity state outside the horizon, on the black hole internal state.
