标题： 引力方程和引力量子场论中的零能量动量张量定理及抵消定律 显示英文标题

标题： Gravitization Equation and Zero Energy Momentum Tensor Theorem with Cancellation Law in Gravitational Quantum Field Theory

摘要： 我们基于自旋规范对称性，研究了引力量子场论（GQFT）的基本性质，以量子电动力学的一般理论为例。 推导出引力规范场场强的约束方程，该方程作为自旋相关的引力规范时空内的引力化方程。 该方程揭示了引力效应如何从引力规范导数算符的非对易关系中产生。 通过将作用量从引力规范时空转换到闵可夫斯基时空，我们证明当运动方程应用于所有基本场（包括引力规范场）时，GQFT中的能量动量张量会消失，从而导致平移不变性。 这将量子场论中能量动量张量的守恒定律扩展为GQFT中能量动量张量的抵消定律。 因此，在GQFT中，广义引力方程与零能量动量张量定理之间自然地出现了一种等价性。 某些关于庞加莱规范理论的方面也进行了简要讨论。 此外，基于非齐次自旋规范对称性WS(1,2)和全局庞加莱对称性PO(1,2)，发展了一种包含三维时空中的陈-西蒙斯作用量的GQFT。 这一框架为探索其与维滕关于三维引力的观点之间的联系提供了基础。 显示英文摘要

摘要： We investigate the essential properties of gravitational quantum field theory (GQFT) based on spin gauge symmetry, using the general theory of quantum electrodynamics as an example. A constraint equation for the field strength of the gravigauge field is derived, serving as a gravitization equation within the spin-related gravigauge spacetime. This equation reveals how gravitational effects emerge from the non-commutative relation of the gravigauge derivative operator. By transmuting the action from gravigauge spacetime to Minkowski spacetime, we demonstrate that translational invariance results in a vanishing energy-momentum tensor in GQFT when the equations of motion are applied to all fundamental fields, including the gravigauge field. This extends the conservation law of the energy-momentum tensor in quantum field theory to a cancellation law of the energy-momentum tensor in GQFT. As a result, an equivalence between the general gravitational equation and the zero energy-momentum tensor theorem naturally arises in GQFT. Certain aspects of the Poincar\'e gauge theory are also briefly discussed. Furthermore, a GQFT incorporating the Chern-Simons action in three-dimensional spacetime is developed, based on the inhomogeneous spin gauge symmetry WS(1,2) and the global Poincar\'e symmetry PO(1,2). This framework provides a basis for exploring its connection to Witten's perspective on three-dimensional gravity.