Poincare-协变引力场框架下van Dam-Veltman-Zakharov不连续问题的解
A solution of the van Dam-Veltman-Zakharov discontinuity problem in the frame of the Poincare-covariant field gravitation theory
摘要：
vDVZ质量不连续问题可以在Poincare协变二阶对称张量场引力理论的线性近似框架下求解。源能量-动量张量守恒，加上场方程的规范不变性，导致产生两个内在的不可约非鬼动力学场：4-无迹对称张量（自旋为2的普遍吸引力）和4-迹（自旋为0的普遍排斥力）。由于这些力的符号不同，总自由场拉格朗日量包含张量和标量动力场的不同符号。总自旋为2加自旋为0的拉格朗日量中的广义Fierz-Pauli质量项给出了mg -> 0的自然无质量极限，因此不存在质量不连续佯谬。导出了牛顿引力和相对论引力效应，包括引力场两部分的正可定域能量密度。通过LIGO-Virgo的引力波观测，可以对自旋为0的动态排斥场的真实性进行实验检验。
英文摘要：
The van Dam-Veltman-Zakharov (vDVZ) mass discontinuity problem can be solved in the frame of the linear approximation of the Poincare-covariant second rank symmetric tensor field gravitation theory. Conservation of the source energy-momentum tensor, together with gauge invariance of the field equations, lead to generation of two intrinsic irreducible non-ghost dynamical fields: 4-traceless symmetric tensor (spin-2 universal attraction) and 4-trace (spin-0 universal repulsion). Due to difference in the signs of these forces the total free field Lagrangian contains different signs for the tensor and scalar dynamical fields. Generalized Fierz-Pauli mass term in total spin-2 plus spin-0 Lagrangian gives natural massless limit for mg --> 0, so the mass discontinuity paradox is absent. The Newtonian gravity and relativistic gravity effects, including positive localizable energy density of both parts of the gravitational field, are derived. Experimental test of the reality of the dynamical spin-0 repulsive field can be performed by LIGO-Virgo gravitational wave observations.
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