论文标题
通过无质量的狄拉克场增强了负能量
Enhanced Negative Energy with a Massless Dirac Field
论文作者
论文摘要
我们是由需要大量负能量的可遍历虫洞构造的动机，我们探索了对两个平行空间平面之间平板形区域中的自由迪拉克场可以携带的负能量的限制。具体而言，我们询问在某个时候可能存在的最小均匀能量密度是什么，考虑到板外物理的所有可能状态以及所有可能性。我们识别带有反碘边界条件的平板两侧的真空状态可提供一个具有均匀负能量的可能状态，但我们认为具有较多负能量的状态存在于1+1个维度以上。从技术上讲，我们将问题减少到以1+1维的间隔研究大规模狄拉克场，并在数值上搜索晶格调节模型中能量密度均匀的状态。我们成功地发现了具有增强的负能量（相对于抗碘真空）的状态，这似乎也具有明智的连续性极限。我们在1+1个维度中最小均匀能量密度质量依赖性的结果表明，对于3+1个尺寸的无质量无质量乳胶费物，可以使任意宽的板中具有任意均匀均匀的负能量密度的状态。
Motivated by traversable wormhole constructions that require large amounts of negative energy, we explore constraints on the amount of negative energy that can be carried by a free Dirac field in a slab-shaped region between two parallel spatial planes. Specifically, we ask what is the minimum possible uniform energy density that can exist at some time, considering all possible states and all possibilities for the physics outside the slab. The vacuum state where we identify the two sides of the slab with antiperiodic boundary conditions gives one possible state with uniform negative energy, but we argue that states with more negative energy exist above 1+1 dimensions. Technically, we reduce the problem to studying a massive Dirac field on an interval in 1+1 dimensions and numerically search for states with uniform energy density in a lattice regulated model. We succeed in finding states with enhanced negative energy (relative to the antiperiodic vacuum) which also appear to have a sensible continuum limit. Our results for the mass-dependence of the minimum uniform energy density in 1+1 dimensions suggest that for a 3+1 dimensional massless Dirac fermion, it is possible to have states with arbitrarily large uniform negative energy density in an arbitrarily wide slab.
