标题： 二维一般量子场论中的平均零能量条件 显示英文标题

标题： The averaged null energy condition for general quantum field theories in two dimensions

摘要： 显示在二维闵可夫斯基时空中的任何局部量子场论中，当理论具有质量间隙并且具有能量-动量张量时，密集的、平移不变的矢量态集合满足平均零能量条件。后者被假定为相对于可观测量是局部的、局部生成平移、无散且能量有界的Wightman场。因此，平均零能量条件可以从二维平直时空中一般量子场论的完全通用的标准假设中推导出来。 显示英文摘要

摘要： It is shown that the averaged null energy condition is fulfilled for a dense, translationally invariant set of vector states in any local quantum field theory in two-dimensional Minkowski spacetime whenever the theory has a mass gap and possesses an energy-momentum tensor. The latter is assumed to be a Wightman field which is local relative to the observables, generates locally the translations, is divergence-free, and energetically bounded. Thus the averaged null energy condition can be deduced from completely generic, standard assumptions for general quantum field theory in two-dimensional flat spacetime.