二维一般量子场论的平均零能条件
The averaged null energy condition for general quantum field theories in two dimensions
摘要:
结果表明,在二维Minkowski时空中,当局域量子场论具有质量间隙和能量动量张量时,对于一组稠密的、对称不变的矢量态,平均零能量条件都是成立的.后者被假定为是一个怀特曼领域,这是当地的相对于可观的,本地产生的翻译,是发散自由的,并大力限制。因此,平均零能量条件可以从二维平坦时空中一般量子场论的完全通用的标准假设中推导出来。
英文摘要:
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.
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