尽管量地理论允许本地精力密度否定,它也把严重限制放在否定精力上。限制之一是量精力不平等(这就是所要找) ,在哪个精力密度随着时间的过去被平均,或空间,或在空间和时间。现在时间的 QEIs 被建立了因为各种各样的量删除,但是少些工作为空间时间量精力不平等做的过时的人或物。在这篇论文,我们处理 freeRarita-Schwinger 地并且介绍不平等在在空间和时间平均的精力密度上绑了的量。与为 Rarita-Schwinger 地的 QEI 一起的比较证明更低的界限是与 QEI 一起的一样。同时,我们发现为 Rarita-SchwingerGeld 的量不平等是比为数量的那些弱的,迪拉克删除。这个事实把进一步的支持给 conjecture Geld 有越多自由, Geld 越容易并且越多更弱显示否定精力密度量不平等变得。
Although quantum field theory allows the local energy density negative, it also places severe restrictions on the negative energy. One of the restrictions is the quantum energy inequality (QEI), in which the energy density is averaged over time, or space, or over space and time. By now temporal QEIs have been established for various quantum fields, but less work has been done for the spacetime quantum energy inequality. In this paper we deal with the free Rarita-Schwinger field and present a quantum inequality bound on the energy density averaged over space and time. Comparison with the QEI for the Rarita-Schwinger field shows that the lower bound is the same with the QEI. At the same time, we find the quantum inequality for the Rarita-Schwinger field is weaker than those for the scalar and Dirac fields. This fact gives further support to the conjecture that the more freedom the field has, the more easily the field displays negative energy density and the weaker the quantum inequality becomes.